Compare commits
5 Commits
chb-twopun
...
cjy-oneapi
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| 6fffaa13f6 | |||
| 6684016e8c | |||
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| ef96766e22 | |||
| ae7b77e44c |
1
.gitignore
vendored
1
.gitignore
vendored
@@ -1,6 +1,7 @@
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__pycache__
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GW150914
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GW150914-origin
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GW150914-mini
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docs
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*.tmp
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@@ -1,447 +0,0 @@
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##################################################################
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##
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## AMSS-NCKU ABE Test Program (Skip TwoPuncture if data exists)
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## Modified from AMSS_NCKU_Program.py
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## Author: Xiaoqu
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## Modified: 2026/02/01
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##
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##################################################################
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##################################################################
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## Print program introduction
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import print_information
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print_information.print_program_introduction()
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##################################################################
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import AMSS_NCKU_Input as input_data
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##################################################################
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## Create directories to store program run data
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import os
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import shutil
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import sys
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import time
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## Set the output directory according to the input file
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File_directory = os.path.join(input_data.File_directory)
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## Check if output directory exists and if TwoPuncture data is available
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#skip_twopuncture = False
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skip_twopuncture = True
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output_directory = os.path.join(File_directory, "AMSS_NCKU_output")
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binary_results_directory = os.path.join(output_directory, input_data.Output_directory)
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if os.path.exists(File_directory):
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print( " Output directory already exists." )
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print()
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'''
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# Check if TwoPuncture initial data files exist
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if (input_data.Initial_Data_Method == "Ansorg-TwoPuncture"):
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twopuncture_output = os.path.join(output_directory, "TwoPunctureABE")
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input_par = os.path.join(output_directory, "input.par")
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if os.path.exists(twopuncture_output) and os.path.exists(input_par):
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print( " Found existing TwoPuncture initial data." )
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print( " Do you want to skip TwoPuncture phase and reuse existing data?" )
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print( " Input 'skip' to skip TwoPuncture and start ABE directly" )
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print( " Input 'regenerate' to regenerate everything from scratch" )
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print()
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while True:
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try:
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inputvalue = input()
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if ( inputvalue == "skip" ):
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print( " Skipping TwoPuncture phase, will reuse existing initial data." )
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print()
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skip_twopuncture = True
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break
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elif ( inputvalue == "regenerate" ):
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print( " Regenerating everything from scratch." )
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print()
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skip_twopuncture = False
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break
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else:
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print( " Please input 'skip' or 'regenerate'." )
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except ValueError:
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print( " Please input 'skip' or 'regenerate'." )
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else:
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print( " TwoPuncture initial data not found, will regenerate everything." )
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print()
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'''
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# If not skipping, remove and recreate directory
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if not skip_twopuncture:
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shutil.rmtree(File_directory, ignore_errors=True)
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os.mkdir(File_directory)
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os.mkdir(output_directory)
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os.mkdir(binary_results_directory)
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figure_directory = os.path.join(File_directory, "figure")
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os.mkdir(figure_directory)
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shutil.copy("AMSS_NCKU_Input.py", File_directory)
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print( " Output directory has been regenerated." )
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print()
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else:
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# Create fresh directory structure
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os.mkdir(File_directory)
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shutil.copy("AMSS_NCKU_Input.py", File_directory)
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os.mkdir(output_directory)
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os.mkdir(binary_results_directory)
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figure_directory = os.path.join(File_directory, "figure")
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os.mkdir(figure_directory)
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print( " Output directory has been generated." )
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print()
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# Ensure figure directory exists
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figure_directory = os.path.join(File_directory, "figure")
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if not os.path.exists(figure_directory):
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os.mkdir(figure_directory)
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##################################################################
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## Output related parameter information
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import setup
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## Print and save input parameter information
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setup.print_input_data( File_directory )
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if not skip_twopuncture:
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setup.generate_AMSSNCKU_input()
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setup.print_puncture_information()
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##################################################################
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## Generate AMSS-NCKU program input files based on the configured parameters
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if not skip_twopuncture:
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print()
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print( " Generating the AMSS-NCKU input parfile for the ABE executable." )
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print()
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## Generate cgh-related input files from the grid information
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import numerical_grid
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numerical_grid.append_AMSSNCKU_cgh_input()
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print()
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print( " The input parfile for AMSS-NCKU C++ executable file ABE has been generated." )
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print( " However, the input relevant to TwoPuncture need to be appended later." )
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print()
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##################################################################
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## Plot the initial grid configuration
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if not skip_twopuncture:
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print()
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print( " Schematically plot the numerical grid structure." )
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print()
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import numerical_grid
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numerical_grid.plot_initial_grid()
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##################################################################
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## Generate AMSS-NCKU macro files according to the numerical scheme and parameters
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if not skip_twopuncture:
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print()
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print( " Automatically generating the macro file for AMSS-NCKU C++ executable file ABE " )
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print( " (Based on the finite-difference numerical scheme) " )
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print()
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import generate_macrodef
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generate_macrodef.generate_macrodef_h()
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print( " AMSS-NCKU macro file macrodef.h has been generated. " )
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generate_macrodef.generate_macrodef_fh()
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print( " AMSS-NCKU macro file macrodef.fh has been generated. " )
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##################################################################
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# Compile the AMSS-NCKU program according to user requirements
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# NOTE: ABE compilation is always performed, even when skipping TwoPuncture
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print()
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print( " Preparing to compile and run the AMSS-NCKU code as requested " )
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print( " Compiling the AMSS-NCKU code based on the generated macro files " )
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print()
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AMSS_NCKU_source_path = "AMSS_NCKU_source"
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AMSS_NCKU_source_copy = os.path.join(File_directory, "AMSS_NCKU_source_copy")
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## If AMSS_NCKU source folder is missing, create it and prompt the user
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if not os.path.exists(AMSS_NCKU_source_path):
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os.makedirs(AMSS_NCKU_source_path)
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print( " The AMSS-NCKU source files are incomplete; copy all source files into ./AMSS_NCKU_source. " )
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print( " Press Enter to continue. " )
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inputvalue = input()
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# Copy AMSS-NCKU source files to prepare for compilation
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# If skipping TwoPuncture and source_copy already exists, remove it first
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if skip_twopuncture and os.path.exists(AMSS_NCKU_source_copy):
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shutil.rmtree(AMSS_NCKU_source_copy)
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shutil.copytree(AMSS_NCKU_source_path, AMSS_NCKU_source_copy)
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# Copy the generated macro files into the AMSS_NCKU source folder
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if not skip_twopuncture:
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macrodef_h_path = os.path.join(File_directory, "macrodef.h")
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macrodef_fh_path = os.path.join(File_directory, "macrodef.fh")
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else:
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# When skipping TwoPuncture, use existing macro files from previous run
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macrodef_h_path = os.path.join(File_directory, "macrodef.h")
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macrodef_fh_path = os.path.join(File_directory, "macrodef.fh")
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shutil.copy2(macrodef_h_path, AMSS_NCKU_source_copy)
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shutil.copy2(macrodef_fh_path, AMSS_NCKU_source_copy)
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# Compile related programs
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import makefile_and_run
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## Change working directory to the target source copy
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os.chdir(AMSS_NCKU_source_copy)
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## Build the main AMSS-NCKU executable (ABE or ABEGPU)
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makefile_and_run.makefile_ABE()
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## If the initial-data method is Ansorg-TwoPuncture, build the TwoPunctureABE executable
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## Only build TwoPunctureABE if not skipping TwoPuncture phase
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if (input_data.Initial_Data_Method == "Ansorg-TwoPuncture" ) and not skip_twopuncture:
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makefile_and_run.makefile_TwoPunctureABE()
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## Change current working directory back up two levels
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os.chdir('..')
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os.chdir('..')
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print()
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##################################################################
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## Copy the AMSS-NCKU executable (ABE/ABEGPU) to the run directory
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if (input_data.GPU_Calculation == "no"):
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ABE_file = os.path.join(AMSS_NCKU_source_copy, "ABE")
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elif (input_data.GPU_Calculation == "yes"):
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ABE_file = os.path.join(AMSS_NCKU_source_copy, "ABEGPU")
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if not os.path.exists( ABE_file ):
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print()
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print( " Lack of AMSS-NCKU executable file ABE/ABEGPU; recompile AMSS_NCKU_source manually. " )
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print( " When recompilation is finished, press Enter to continue. " )
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inputvalue = input()
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## Copy the executable ABE (or ABEGPU) into the run directory
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shutil.copy2(ABE_file, output_directory)
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## If the initial-data method is TwoPuncture, copy the TwoPunctureABE executable to the run directory
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## Only copy TwoPunctureABE if not skipping TwoPuncture phase
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if (input_data.Initial_Data_Method == "Ansorg-TwoPuncture" ) and not skip_twopuncture:
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TwoPuncture_file = os.path.join(AMSS_NCKU_source_copy, "TwoPunctureABE")
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if not os.path.exists( TwoPuncture_file ):
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print()
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print( " Lack of AMSS-NCKU executable file TwoPunctureABE; recompile TwoPunctureABE in AMSS_NCKU_source. " )
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print( " When recompilation is finished, press Enter to continue. " )
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inputvalue = input()
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## Copy the TwoPunctureABE executable into the run directory
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shutil.copy2(TwoPuncture_file, output_directory)
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##################################################################
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## If the initial-data method is TwoPuncture, generate the TwoPuncture input files
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if (input_data.Initial_Data_Method == "Ansorg-TwoPuncture" ) and not skip_twopuncture:
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print()
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print( " Initial data is chosen as Ansorg-TwoPuncture" )
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print()
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print()
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print( " Automatically generating the input parfile for the TwoPunctureABE executable " )
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print()
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import generate_TwoPuncture_input
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generate_TwoPuncture_input.generate_AMSSNCKU_TwoPuncture_input()
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print()
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print( " The input parfile for the TwoPunctureABE executable has been generated. " )
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print()
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## Generated AMSS-NCKU TwoPuncture input filename
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AMSS_NCKU_TwoPuncture_inputfile = 'AMSS-NCKU-TwoPuncture.input'
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AMSS_NCKU_TwoPuncture_inputfile_path = os.path.join( File_directory, AMSS_NCKU_TwoPuncture_inputfile )
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## Copy and rename the file
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shutil.copy2( AMSS_NCKU_TwoPuncture_inputfile_path, os.path.join(output_directory, 'TwoPunctureinput.par') )
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## Run TwoPuncture to generate initial-data files
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start_time = time.time() # Record start time
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print()
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print()
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## Change to the output (run) directory
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os.chdir(output_directory)
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## Run the TwoPuncture executable
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import makefile_and_run
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makefile_and_run.run_TwoPunctureABE()
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## Change current working directory back up two levels
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os.chdir('..')
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os.chdir('..')
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elif (input_data.Initial_Data_Method == "Ansorg-TwoPuncture" ) and skip_twopuncture:
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print()
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print( " Skipping TwoPuncture execution, using existing initial data." )
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print()
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start_time = time.time() # Record start time for ABE only
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else:
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start_time = time.time() # Record start time
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##################################################################
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## Update puncture data based on TwoPuncture run results
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if not skip_twopuncture:
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import renew_puncture_parameter
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renew_puncture_parameter.append_AMSSNCKU_BSSN_input(File_directory, output_directory)
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## Generated AMSS-NCKU input filename
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AMSS_NCKU_inputfile = 'AMSS-NCKU.input'
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AMSS_NCKU_inputfile_path = os.path.join(File_directory, AMSS_NCKU_inputfile)
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## Copy and rename the file
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shutil.copy2( AMSS_NCKU_inputfile_path, os.path.join(output_directory, 'input.par') )
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print()
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print( " Successfully copy all AMSS-NCKU input parfile to target dictionary. " )
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print()
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else:
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print()
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print( " Using existing input.par file from previous run." )
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print()
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##################################################################
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## Launch the AMSS-NCKU program
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print()
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print()
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## Change to the run directory
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os.chdir( output_directory )
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import makefile_and_run
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makefile_and_run.run_ABE()
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## Change current working directory back up two levels
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os.chdir('..')
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os.chdir('..')
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end_time = time.time()
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elapsed_time = end_time - start_time
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##################################################################
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## Copy some basic input and log files out to facilitate debugging
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## Path to the file that stores calculation settings
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AMSS_NCKU_error_file_path = os.path.join(binary_results_directory, "setting.par")
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## Copy and rename the file for easier inspection
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shutil.copy( AMSS_NCKU_error_file_path, os.path.join(output_directory, "AMSSNCKU_setting_parameter") )
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## Path to the error log file
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AMSS_NCKU_error_file_path = os.path.join(binary_results_directory, "Error.log")
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## Copy and rename the error log
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shutil.copy( AMSS_NCKU_error_file_path, os.path.join(output_directory, "Error.log") )
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## Primary program outputs
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AMSS_NCKU_BH_data = os.path.join(binary_results_directory, "bssn_BH.dat" )
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AMSS_NCKU_ADM_data = os.path.join(binary_results_directory, "bssn_ADMQs.dat" )
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AMSS_NCKU_psi4_data = os.path.join(binary_results_directory, "bssn_psi4.dat" )
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AMSS_NCKU_constraint_data = os.path.join(binary_results_directory, "bssn_constraint.dat")
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## copy and rename the file
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shutil.copy( AMSS_NCKU_BH_data, os.path.join(output_directory, "bssn_BH.dat" ) )
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shutil.copy( AMSS_NCKU_ADM_data, os.path.join(output_directory, "bssn_ADMQs.dat" ) )
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shutil.copy( AMSS_NCKU_psi4_data, os.path.join(output_directory, "bssn_psi4.dat" ) )
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shutil.copy( AMSS_NCKU_constraint_data, os.path.join(output_directory, "bssn_constraint.dat") )
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## Additional program outputs
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||||
if (input_data.Equation_Class == "BSSN-EM"):
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AMSS_NCKU_phi1_data = os.path.join(binary_results_directory, "bssn_phi1.dat" )
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AMSS_NCKU_phi2_data = os.path.join(binary_results_directory, "bssn_phi2.dat" )
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shutil.copy( AMSS_NCKU_phi1_data, os.path.join(output_directory, "bssn_phi1.dat" ) )
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shutil.copy( AMSS_NCKU_phi2_data, os.path.join(output_directory, "bssn_phi2.dat" ) )
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elif (input_data.Equation_Class == "BSSN-EScalar"):
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AMSS_NCKU_maxs_data = os.path.join(binary_results_directory, "bssn_maxs.dat" )
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shutil.copy( AMSS_NCKU_maxs_data, os.path.join(output_directory, "bssn_maxs.dat" ) )
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##################################################################
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## Plot the AMSS-NCKU program results
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||||
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print()
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print( " Plotting the txt and binary results data from the AMSS-NCKU simulation " )
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print()
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||||
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||||
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||||
import plot_xiaoqu
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||||
import plot_GW_strain_amplitude_xiaoqu
|
||||
|
||||
## Plot black hole trajectory
|
||||
plot_xiaoqu.generate_puncture_orbit_plot( binary_results_directory, figure_directory )
|
||||
plot_xiaoqu.generate_puncture_orbit_plot3D( binary_results_directory, figure_directory )
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||||
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||||
## Plot black hole separation vs. time
|
||||
plot_xiaoqu.generate_puncture_distence_plot( binary_results_directory, figure_directory )
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||||
|
||||
## Plot gravitational waveforms (psi4 and strain amplitude)
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for i in range(input_data.Detector_Number):
|
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plot_xiaoqu.generate_gravitational_wave_psi4_plot( binary_results_directory, figure_directory, i )
|
||||
plot_GW_strain_amplitude_xiaoqu.generate_gravitational_wave_amplitude_plot( binary_results_directory, figure_directory, i )
|
||||
|
||||
## Plot ADM mass evolution
|
||||
for i in range(input_data.Detector_Number):
|
||||
plot_xiaoqu.generate_ADMmass_plot( binary_results_directory, figure_directory, i )
|
||||
|
||||
## Plot Hamiltonian constraint violation over time
|
||||
for i in range(input_data.grid_level):
|
||||
plot_xiaoqu.generate_constraint_check_plot( binary_results_directory, figure_directory, i )
|
||||
|
||||
## Plot stored binary data
|
||||
plot_xiaoqu.generate_binary_data_plot( binary_results_directory, figure_directory )
|
||||
|
||||
print()
|
||||
print( f" This Program Cost = {elapsed_time} Seconds " )
|
||||
print()
|
||||
|
||||
|
||||
##################################################################
|
||||
|
||||
print()
|
||||
print( " The AMSS-NCKU-Python simulation is successfully finished, thanks for using !!! " )
|
||||
print()
|
||||
|
||||
##################################################################
|
||||
|
||||
|
||||
@@ -16,12 +16,14 @@ import numpy
|
||||
File_directory = "GW150914" ## output file directory
|
||||
Output_directory = "binary_output" ## binary data file directory
|
||||
## The file directory name should not be too long
|
||||
MPI_processes = 64 ## number of mpi processes used in the simulation
|
||||
MPI_processes = 8 ## number of mpi processes used in the simulation
|
||||
|
||||
GPU_Calculation = "no" ## Use GPU or not
|
||||
## (prefer "no" in the current version, because the GPU part may have bugs when integrated in this Python interface)
|
||||
CPU_Part = 1.0
|
||||
GPU_Part = 0.0
|
||||
Debug_NaN_Check = 0 ## enable NaN checks in compute_rhs_bssn: 0 (off) or 1 (on)
|
||||
|
||||
|
||||
#################################################
|
||||
|
||||
|
||||
233
AMSS_NCKU_Input_Mini.py
Normal file
233
AMSS_NCKU_Input_Mini.py
Normal file
@@ -0,0 +1,233 @@
|
||||
|
||||
#################################################
|
||||
##
|
||||
## This file provides the input parameters required for numerical relativity.
|
||||
## XIAOQU
|
||||
## 2024/03/19 --- 2025/09/14
|
||||
## Modified for GW150914-mini test case
|
||||
##
|
||||
#################################################
|
||||
|
||||
import numpy
|
||||
|
||||
#################################################
|
||||
|
||||
## Setting MPI processes and the output file directory
|
||||
|
||||
File_directory = "GW150914-mini" ## output file directory
|
||||
Output_directory = "binary_output" ## binary data file directory
|
||||
## The file directory name should not be too long
|
||||
MPI_processes = 4 ## number of mpi processes used in the simulation (Reduced for laptop)
|
||||
|
||||
GPU_Calculation = "no" ## Use GPU or not
|
||||
## (prefer "no" in the current version, because the GPU part may have bugs when integrated in this Python interface)
|
||||
CPU_Part = 1.0
|
||||
GPU_Part = 0.0
|
||||
|
||||
#################################################
|
||||
|
||||
|
||||
#################################################
|
||||
|
||||
## Setting the physical system and numerical method
|
||||
|
||||
Symmetry = "equatorial-symmetry" ## Symmetry of System: choose equatorial-symmetry、no-symmetry、octant-symmetry
|
||||
Equation_Class = "BSSN" ## Evolution Equation: choose "BSSN", "BSSN-EScalar", "BSSN-EM", "Z4C"
|
||||
## If "BSSN-EScalar" is chosen, it is necessary to set other parameters below
|
||||
Initial_Data_Method = "Ansorg-TwoPuncture" ## initial data method: choose "Ansorg-TwoPuncture", "Lousto-Analytical", "Cao-Analytical", "KerrSchild-Analytical"
|
||||
Time_Evolution_Method = "runge-kutta-45" ## time evolution method: choose "runge-kutta-45"
|
||||
Finite_Diffenence_Method = "4th-order" ## finite-difference method: choose "2nd-order", "4th-order", "6th-order", "8th-order"
|
||||
Debug_NaN_Check = 0 ## enable NaN checks in compute_rhs_bssn: 0 (off) or 1 (on)
|
||||
|
||||
#################################################
|
||||
|
||||
|
||||
#################################################
|
||||
|
||||
## Setting the time evolutionary information
|
||||
|
||||
Start_Evolution_Time = 0.0 ## start evolution time t0
|
||||
Final_Evolution_Time = 100.0 ## final evolution time t1 (Reduced for quick test)
|
||||
Check_Time = 10.0
|
||||
Dump_Time = 10.0 ## time inteval dT for dumping binary data
|
||||
D2_Dump_Time = 10.0 ## dump the ascii data for 2d surface after dT'
|
||||
Analysis_Time = 1.0 ## dump the puncture position and GW psi4 after dT"
|
||||
Evolution_Step_Number = 10000000 ## stop the calculation after the maximal step number
|
||||
Courant_Factor = 0.5 ## Courant Factor
|
||||
Dissipation = 0.15 ## Kreiss-Oliger Dissipation Strength
|
||||
|
||||
#################################################
|
||||
|
||||
|
||||
#################################################
|
||||
|
||||
## Setting the grid structure
|
||||
|
||||
basic_grid_set = "Patch" ## grid structure: choose "Patch" or "Shell-Patch"
|
||||
grid_center_set = "Cell" ## grid center: chose "Cell" or "Vertex"
|
||||
|
||||
grid_level = 7 ## total number of AMR grid levels (Reduced from 9)
|
||||
static_grid_level = 4 ## number of AMR static grid levels (Reduced from 5)
|
||||
moving_grid_level = grid_level - static_grid_level ## number of AMR moving grid levels
|
||||
|
||||
analysis_level = 0
|
||||
refinement_level = 3 ## time refinement start from this grid level
|
||||
|
||||
largest_box_xyz_max = [320.0, 320.0, 320.0] ## scale of the largest box
|
||||
## not ne cess ary to be cubic for "Patch" grid s tructure
|
||||
## need to be a cubic box for "Shell-Patch" grid structure
|
||||
largest_box_xyz_min = - numpy.array(largest_box_xyz_max)
|
||||
|
||||
static_grid_number = 48 ## grid points of each static AMR grid (in x direction) (Reduced from 96)
|
||||
## (grid points in y and z directions are automatically adjusted)
|
||||
moving_grid_number = 24 ## grid points of each moving AMR grid (Reduced from 48)
|
||||
shell_grid_number = [32, 32, 100] ## grid points of Shell-Patch grid
|
||||
## in (phi, theta, r) direction
|
||||
devide_factor = 2.0 ## resolution between different grid levels dh0/dh1, only support 2.0 now
|
||||
|
||||
|
||||
static_grid_type = 'Linear' ## AMR static grid structure , only supports "Linear"
|
||||
moving_grid_type = 'Linear' ## AMR moving grid structure , only supports "Linear"
|
||||
|
||||
quarter_sphere_number = 48 ## grid number of 1/4 s pher ical surface (Reduced from 96)
|
||||
## (which is needed for evaluating the spherical surface integral)
|
||||
|
||||
#################################################
|
||||
|
||||
|
||||
#################################################
|
||||
|
||||
## Setting the puncture information
|
||||
|
||||
puncture_number = 2
|
||||
|
||||
position_BH = numpy.zeros( (puncture_number, 3) )
|
||||
parameter_BH = numpy.zeros( (puncture_number, 3) )
|
||||
dimensionless_spin_BH = numpy.zeros( (puncture_number, 3) )
|
||||
momentum_BH = numpy.zeros( (puncture_number, 3) )
|
||||
|
||||
puncture_data_set = "Manually" ## Method to give Puncture’s positions and momentum
|
||||
## choose "Manually" or "Automatically-BBH"
|
||||
## Prefer to choose "Manually", because "Automatically-BBH" is developing now
|
||||
|
||||
## initial orbital distance and ellipticity for BBHs system
|
||||
## ( needed for "Automatically-BBH" case , not affect the "Manually" case )
|
||||
Distance = 10.0
|
||||
e0 = 0.0
|
||||
|
||||
## black hole parameter (M Q* a*)
|
||||
parameter_BH[0] = [ 36.0/(36.0+29.0), 0.0, +0.31 ]
|
||||
parameter_BH[1] = [ 29.0/(36.0+29.0), 0.0, -0.46 ]
|
||||
## dimensionless spin in each direction
|
||||
dimensionless_spin_BH[0] = [ 0.0, 0.0, +0.31 ]
|
||||
dimensionless_spin_BH[1] = [ 0.0, 0.0, -0.46 ]
|
||||
|
||||
## use Brugmann's convention
|
||||
## -----0-----> y
|
||||
## - +
|
||||
|
||||
#---------------------------------------------
|
||||
|
||||
## If puncture_data_set is chosen to be "Manually", it is necessary to set the position and momentum of each puncture manually
|
||||
|
||||
## initial position for each puncture
|
||||
position_BH[0] = [ 0.0, 10.0*29.0/(36.0+29.0), 0.0 ]
|
||||
position_BH[1] = [ 0.0, -10.0*36.0/(36.0+29.0), 0.0 ]
|
||||
|
||||
## initial mumentum for each puncture
|
||||
## (needed for "Manually" case, does not affect the "Automatically-BBH" case)
|
||||
momentum_BH[0] = [ -0.09530152296974252, -0.00084541526517121, 0.0 ]
|
||||
momentum_BH[1] = [ +0.09530152296974252, +0.00084541526517121, 0.0 ]
|
||||
|
||||
|
||||
#################################################
|
||||
|
||||
|
||||
#################################################
|
||||
|
||||
## Setting the gravitational wave information
|
||||
|
||||
GW_L_max = 4 ## maximal L number in gravitational wave
|
||||
GW_M_max = 4 ## maximal M number in gravitational wave
|
||||
Detector_Number = 12 ## number of dector
|
||||
Detector_Rmin = 50.0 ## nearest dector distance
|
||||
Detector_Rmax = 160.0 ## farest dector distance
|
||||
|
||||
#################################################
|
||||
|
||||
|
||||
#################################################
|
||||
|
||||
## Setting the apprent horizon
|
||||
|
||||
AHF_Find = "no" ## whether to find the apparent horizon: choose "yes" or "no"
|
||||
|
||||
AHF_Find_Every = 24
|
||||
AHF_Dump_Time = 20.0
|
||||
|
||||
#################################################
|
||||
|
||||
|
||||
#################################################
|
||||
|
||||
## Other parameters (testing)
|
||||
## Only influence the Equation_Class = "BSSN-EScalar" case
|
||||
|
||||
FR_a2 = 3.0 ## f(R) = R + a2 * R^2
|
||||
FR_l2 = 10000.0
|
||||
FR_phi0 = 0.00005
|
||||
FR_r0 = 120.0
|
||||
FR_sigma0 = 8.0
|
||||
FR_Choice = 2 ## Choice options: 1 2 3 4 5
|
||||
## 1: phi(r) = phi0 * Exp(-(r-r0)**2/sigma0)
|
||||
## V(r) = 0
|
||||
## 2: phi(r) = phi0 * a2^2/(1+a2^2)
|
||||
## V(r) = Exp(-8*Sqrt(PI/3)*phi(r)) * (1-Exp(4*Sqrt(PI/3)*phi(r)))**2 / (32*PI*a2)
|
||||
## 3: Schrodinger-Newton gived by system phi(r)
|
||||
## V(r) = Exp(-8*Sqrt(PI/3)*phi(r)) * (1-Exp(4*Sqrt(PI/3)*phi(r)))**2 / (32*PI*a2)
|
||||
## 4: phi(r) = phi0 * 0.5 * ( tanh((r+r0)/sigma0) - tanh((r-r0)/sigma0) )
|
||||
## V(r) = 0
|
||||
## f(R) = R + a2*R^2 with a2 = +oo
|
||||
## 5: phi(r) = phi0 * Exp(-(r-r0)**2/sigma)
|
||||
## V(r) = 0
|
||||
|
||||
#################################################
|
||||
|
||||
|
||||
#################################################
|
||||
|
||||
## Other parameters (testing)
|
||||
## (please do not change if not necessary)
|
||||
|
||||
boundary_choice = "BAM-choice" ## Sommerfeld boundary condition : choose "BAM-choice" or "Shibata-choice"
|
||||
## prefer "BAM-choice"
|
||||
|
||||
gauge_choice = 0 ## gauge choice
|
||||
## 0: B^i gauge
|
||||
## 1: David's puncture gauge
|
||||
## 2: MB B^i gauge
|
||||
## 3: RIT B^i gauge
|
||||
## 4: MB beta gauge
|
||||
## 5: RIT beta gauge
|
||||
## 6: MGB1 B^i gauge
|
||||
## 7: MGB2 B^i gauge
|
||||
## prefer 0 or 1
|
||||
|
||||
tetrad_type = 2 ## tetradtype
|
||||
## v:r; u: phi; w: theta
|
||||
## v^a = (x,y,z)
|
||||
## 0: orthonormal order: v,u,w
|
||||
## v^a = (x,y,z)
|
||||
## m = (phi - i theta)/sqrt(2)
|
||||
## following Frans, Eq.(8) of PRD 75, 124018(2007)
|
||||
## 1: orthonormal order: w,u,v
|
||||
## m = (theta + i phi)/sqrt(2)
|
||||
## following Sperhake, Eq.(3.2) of PRD 85, 124062(2012)
|
||||
## 2: orthonormal order: v,u,w
|
||||
## v_a = (x,y,z)
|
||||
## m = (phi - i theta)/sqrt(2)
|
||||
## following Frans, Eq.(8) of PRD 75, 124018(2007)
|
||||
## this version recommend set to 2
|
||||
## prefer 2
|
||||
|
||||
#################################################
|
||||
224
AMSS_NCKU_MiniProgram.py
Normal file
224
AMSS_NCKU_MiniProgram.py
Normal file
@@ -0,0 +1,224 @@
|
||||
##################################################################
|
||||
##
|
||||
## AMSS-NCKU Numerical Relativity Mini Test Program
|
||||
## Author: Assistant (based on Xiaoqu's code)
|
||||
## 2026/01/20
|
||||
##
|
||||
## This script runs a scaled-down version of the GW150914 test case
|
||||
## suitable for laptop testing.
|
||||
##
|
||||
##################################################################
|
||||
|
||||
import os
|
||||
import shutil
|
||||
import sys
|
||||
import time
|
||||
|
||||
# --- Context Manager for Input File Swapping ---
|
||||
class InputFileSwapper:
|
||||
def __init__(self, mini_file="AMSS_NCKU_Input_Mini.py", target_file="AMSS_NCKU_Input.py"):
|
||||
self.mini_file = mini_file
|
||||
self.target_file = target_file
|
||||
self.backup_file = target_file + ".bak"
|
||||
self.swapped = False
|
||||
|
||||
def __enter__(self):
|
||||
print(f"[MiniProgram] Swapping {self.target_file} with {self.mini_file}...")
|
||||
if os.path.exists(self.target_file):
|
||||
shutil.move(self.target_file, self.backup_file)
|
||||
shutil.copy(self.mini_file, self.target_file)
|
||||
self.swapped = True
|
||||
return self
|
||||
|
||||
def __exit__(self, exc_type, exc_value, traceback):
|
||||
if self.swapped:
|
||||
print(f"[MiniProgram] Restoring original {self.target_file}...")
|
||||
os.remove(self.target_file)
|
||||
if os.path.exists(self.backup_file):
|
||||
shutil.move(self.backup_file, self.target_file)
|
||||
|
||||
def main():
|
||||
# Use the swapper to ensure all imported modules see the mini configuration
|
||||
with InputFileSwapper():
|
||||
|
||||
# Import modules AFTER swapping input file
|
||||
try:
|
||||
import AMSS_NCKU_Input as input_data
|
||||
import print_information
|
||||
import setup
|
||||
import numerical_grid
|
||||
import generate_macrodef
|
||||
import makefile_and_run
|
||||
import generate_TwoPuncture_input
|
||||
import renew_puncture_parameter
|
||||
import plot_xiaoqu
|
||||
import plot_GW_strain_amplitude_xiaoqu
|
||||
except ImportError as e:
|
||||
print(f"Error importing modules: {e}")
|
||||
return
|
||||
|
||||
print_information.print_program_introduction()
|
||||
|
||||
print("\n" + "#"*60)
|
||||
print(" RUNNING MINI TEST CASE: GW150914-mini")
|
||||
print("#"*60 + "\n")
|
||||
|
||||
# --- Directory Setup ---
|
||||
File_directory = os.path.join(input_data.File_directory)
|
||||
|
||||
if os.path.exists(File_directory):
|
||||
print(f" Output directory '{File_directory}' exists. Removing for mini test...")
|
||||
shutil.rmtree(File_directory, ignore_errors=True)
|
||||
|
||||
os.mkdir(File_directory)
|
||||
shutil.copy("AMSS_NCKU_Input.py", File_directory) # Copies the current (mini) input
|
||||
|
||||
output_directory = os.path.join(File_directory, "AMSS_NCKU_output")
|
||||
os.mkdir(output_directory)
|
||||
|
||||
binary_results_directory = os.path.join(output_directory, input_data.Output_directory)
|
||||
os.mkdir(binary_results_directory)
|
||||
|
||||
figure_directory = os.path.join(File_directory, "figure")
|
||||
os.mkdir(figure_directory)
|
||||
|
||||
print(" Output directories generated.\n")
|
||||
|
||||
# --- Setup and Input Generation ---
|
||||
setup.print_input_data(File_directory)
|
||||
setup.generate_AMSSNCKU_input()
|
||||
setup.print_puncture_information()
|
||||
|
||||
print("\n Generating AMSS-NCKU input parfile...")
|
||||
numerical_grid.append_AMSSNCKU_cgh_input()
|
||||
|
||||
print("\n Plotting initial grid...")
|
||||
numerical_grid.plot_initial_grid()
|
||||
|
||||
print("\n Generating macro files...")
|
||||
generate_macrodef.generate_macrodef_h()
|
||||
generate_macrodef.generate_macrodef_fh()
|
||||
|
||||
# --- Compilation Preparation ---
|
||||
print("\n Preparing to compile and run...")
|
||||
|
||||
AMSS_NCKU_source_path = "AMSS_NCKU_source"
|
||||
AMSS_NCKU_source_copy = os.path.join(File_directory, "AMSS_NCKU_source_copy")
|
||||
|
||||
if not os.path.exists(AMSS_NCKU_source_path):
|
||||
print(" Error: AMSS_NCKU_source not found! Please run in the project root.")
|
||||
return
|
||||
|
||||
shutil.copytree(AMSS_NCKU_source_path, AMSS_NCKU_source_copy)
|
||||
|
||||
macrodef_h_path = os.path.join(File_directory, "macrodef.h")
|
||||
macrodef_fh_path = os.path.join(File_directory, "macrodef.fh")
|
||||
|
||||
shutil.copy2(macrodef_h_path, AMSS_NCKU_source_copy)
|
||||
shutil.copy2(macrodef_fh_path, AMSS_NCKU_source_copy)
|
||||
|
||||
# --- Compilation ---
|
||||
cwd = os.getcwd()
|
||||
os.chdir(AMSS_NCKU_source_copy)
|
||||
|
||||
print(" Compiling ABE...")
|
||||
makefile_and_run.makefile_ABE()
|
||||
|
||||
if (input_data.Initial_Data_Method == "Ansorg-TwoPuncture" ):
|
||||
print(" Compiling TwoPunctureABE...")
|
||||
makefile_and_run.makefile_TwoPunctureABE()
|
||||
|
||||
os.chdir(cwd)
|
||||
|
||||
# --- Copy Executables ---
|
||||
if (input_data.GPU_Calculation == "no"):
|
||||
ABE_file = os.path.join(AMSS_NCKU_source_copy, "ABE")
|
||||
else:
|
||||
ABE_file = os.path.join(AMSS_NCKU_source_copy, "ABEGPU")
|
||||
|
||||
if not os.path.exists(ABE_file):
|
||||
print(" Error: ABE executable compilation failed.")
|
||||
return
|
||||
|
||||
shutil.copy2(ABE_file, output_directory)
|
||||
|
||||
TwoPuncture_file = os.path.join(AMSS_NCKU_source_copy, "TwoPunctureABE")
|
||||
if (input_data.Initial_Data_Method == "Ansorg-TwoPuncture" ):
|
||||
if not os.path.exists(TwoPuncture_file):
|
||||
print(" Error: TwoPunctureABE compilation failed.")
|
||||
return
|
||||
shutil.copy2(TwoPuncture_file, output_directory)
|
||||
|
||||
# --- Execution ---
|
||||
start_time = time.time()
|
||||
|
||||
if (input_data.Initial_Data_Method == "Ansorg-TwoPuncture" ):
|
||||
print("\n Generating TwoPuncture input...")
|
||||
generate_TwoPuncture_input.generate_AMSSNCKU_TwoPuncture_input()
|
||||
|
||||
AMSS_NCKU_TwoPuncture_inputfile = 'AMSS-NCKU-TwoPuncture.input'
|
||||
AMSS_NCKU_TwoPuncture_inputfile_path = os.path.join( File_directory, AMSS_NCKU_TwoPuncture_inputfile )
|
||||
shutil.copy2( AMSS_NCKU_TwoPuncture_inputfile_path, os.path.join(output_directory, 'TwoPunctureinput.par') )
|
||||
|
||||
print(" Running TwoPunctureABE...")
|
||||
os.chdir(output_directory)
|
||||
makefile_and_run.run_TwoPunctureABE()
|
||||
os.chdir(cwd)
|
||||
|
||||
# Update Puncture Parameter
|
||||
renew_puncture_parameter.append_AMSSNCKU_BSSN_input(File_directory, output_directory)
|
||||
|
||||
AMSS_NCKU_inputfile = 'AMSS-NCKU.input'
|
||||
AMSS_NCKU_inputfile_path = os.path.join(File_directory, AMSS_NCKU_inputfile)
|
||||
shutil.copy2( AMSS_NCKU_inputfile_path, os.path.join(output_directory, 'input.par') )
|
||||
|
||||
print("\n Input files ready. Launching ABE...")
|
||||
|
||||
os.chdir(output_directory)
|
||||
makefile_and_run.run_ABE()
|
||||
os.chdir(cwd)
|
||||
|
||||
end_time = time.time()
|
||||
elapsed_time = end_time - start_time
|
||||
|
||||
# --- Post-processing ---
|
||||
print("\n Copying output files for inspection...")
|
||||
AMSS_NCKU_error_file_path = os.path.join(binary_results_directory, "setting.par")
|
||||
if os.path.exists(AMSS_NCKU_error_file_path):
|
||||
shutil.copy( AMSS_NCKU_error_file_path, os.path.join(output_directory, "AMSSNCKU_setting_parameter") )
|
||||
|
||||
AMSS_NCKU_error_file_path = os.path.join(binary_results_directory, "Error.log")
|
||||
if os.path.exists(AMSS_NCKU_error_file_path):
|
||||
shutil.copy( AMSS_NCKU_error_file_path, os.path.join(output_directory, "Error.log") )
|
||||
|
||||
for fname in ["bssn_BH.dat", "bssn_ADMQs.dat", "bssn_psi4.dat", "bssn_constraint.dat"]:
|
||||
fpath = os.path.join(binary_results_directory, fname)
|
||||
if os.path.exists(fpath):
|
||||
shutil.copy(fpath, os.path.join(output_directory, fname))
|
||||
|
||||
# --- Plotting ---
|
||||
print("\n Plotting results...")
|
||||
try:
|
||||
plot_xiaoqu.generate_puncture_orbit_plot( binary_results_directory, figure_directory )
|
||||
plot_xiaoqu.generate_puncture_orbit_plot3D( binary_results_directory, figure_directory )
|
||||
plot_xiaoqu.generate_puncture_distence_plot( binary_results_directory, figure_directory )
|
||||
|
||||
for i in range(input_data.Detector_Number):
|
||||
plot_xiaoqu.generate_gravitational_wave_psi4_plot( binary_results_directory, figure_directory, i )
|
||||
plot_GW_strain_amplitude_xiaoqu.generate_gravitational_wave_amplitude_plot( binary_results_directory, figure_directory, i )
|
||||
|
||||
for i in range(input_data.Detector_Number):
|
||||
plot_xiaoqu.generate_ADMmass_plot( binary_results_directory, figure_directory, i )
|
||||
|
||||
for i in range(input_data.grid_level):
|
||||
plot_xiaoqu.generate_constraint_check_plot( binary_results_directory, figure_directory, i )
|
||||
|
||||
plot_xiaoqu.generate_binary_data_plot( binary_results_directory, figure_directory )
|
||||
except Exception as e:
|
||||
print(f"Warning: Plotting failed: {e}")
|
||||
|
||||
print(f"\n Program Cost = {elapsed_time:.2f} Seconds \n")
|
||||
print(" AMSS-NCKU-Python simulation finished (Mini Test).\n")
|
||||
|
||||
if __name__ == "__main__":
|
||||
main()
|
||||
@@ -313,7 +313,7 @@ MyList<Block> *Parallel::distribute(MyList<Patch> *PatchLIST, int cpusize, int i
|
||||
|
||||
int split_size, min_size, block_size = 0;
|
||||
|
||||
int min_width = 2 * Mymax(ghost_width, buffer_width);
|
||||
int min_width = Mymax(2 * ghost_width + 2, buffer_width + 2);
|
||||
int nxyz[dim], mmin_width[dim], min_shape[dim];
|
||||
|
||||
MyList<Patch> *PLi = PatchLIST;
|
||||
@@ -641,7 +641,7 @@ MyList<Block> *Parallel::distribute(MyList<Patch> *PatchLIST, int cpusize, int i
|
||||
|
||||
int split_size, min_size, block_size = 0;
|
||||
|
||||
int min_width = 2 * Mymax(ghost_width, buffer_width);
|
||||
int min_width = Mymax(2 * ghost_width + 2, buffer_width + 2);
|
||||
int nxyz[dim], mmin_width[dim], min_shape[dim];
|
||||
|
||||
MyList<Patch> *PLi = PatchLIST;
|
||||
|
||||
File diff suppressed because it is too large
Load Diff
@@ -1,8 +1,7 @@
|
||||
|
||||
#ifndef TWO_PUNCTURES_H
|
||||
#define TWO_PUNCTURES_H
|
||||
|
||||
#include <omp.h>
|
||||
|
||||
#define StencilSize 19
|
||||
#define N_PlaneRelax 1
|
||||
#define NRELAX 200
|
||||
@@ -33,7 +32,7 @@ private:
|
||||
int npoints_A, npoints_B, npoints_phi;
|
||||
|
||||
double target_M_plus, target_M_minus;
|
||||
|
||||
|
||||
double admMass;
|
||||
|
||||
double adm_tol;
|
||||
@@ -43,18 +42,6 @@ private:
|
||||
|
||||
int ntotal;
|
||||
|
||||
// ===== Precomputed spectral derivative matrices =====
|
||||
double *D1_A, *D2_A;
|
||||
double *D1_B, *D2_B;
|
||||
double *DF1_phi, *DF2_phi;
|
||||
|
||||
// ===== Pre-allocated workspace for LineRelax (per-thread) =====
|
||||
int max_threads;
|
||||
double **ws_diag_be, **ws_e_be, **ws_f_be, **ws_b_be, **ws_x_be;
|
||||
double **ws_l_be, **ws_u_be, **ws_d_be, **ws_y_be;
|
||||
double **ws_diag_al, **ws_e_al, **ws_f_al, **ws_b_al, **ws_x_al;
|
||||
double **ws_l_al, **ws_u_al, **ws_d_al, **ws_y_al;
|
||||
|
||||
struct parameters
|
||||
{
|
||||
int nvar, n1, n2, n3;
|
||||
@@ -71,28 +58,6 @@ public:
|
||||
int Newtonmaxit);
|
||||
~TwoPunctures();
|
||||
|
||||
// 02/07: New/modified methods
|
||||
void allocate_workspace();
|
||||
void free_workspace();
|
||||
void precompute_derivative_matrices();
|
||||
void build_cheb_deriv_matrices(int n, double *D1, double *D2);
|
||||
void build_fourier_deriv_matrices(int N, double *DF1, double *DF2);
|
||||
void Derivatives_AB3_MatMul(int nvar, int n1, int n2, int n3, derivs v);
|
||||
void ThomasAlgorithm_ws(int N, double *b, double *a, double *c, double *x, double *q,
|
||||
double *l, double *u_ws, double *d, double *y);
|
||||
void LineRelax_be_omp(double *dv,
|
||||
int const i, int const k, int const nvar,
|
||||
int const n1, int const n2, int const n3,
|
||||
double const *rhs, int const *ncols, int **cols,
|
||||
double **JFD, int tid);
|
||||
void LineRelax_al_omp(double *dv,
|
||||
int const j, int const k, int const nvar,
|
||||
int const n1, int const n2, int const n3,
|
||||
double const *rhs, int const *ncols,
|
||||
int **cols, double **JFD, int tid);
|
||||
void relax_omp(double *dv, int const nvar, int const n1, int const n2, int const n3,
|
||||
double const *rhs, int const *ncols, int **cols, double **JFD);
|
||||
|
||||
void Solve();
|
||||
void set_initial_guess(derivs v);
|
||||
int index(int i, int j, int k, int l, int a, int b, int c, int d);
|
||||
@@ -151,11 +116,23 @@ public:
|
||||
double BY_KKofxyz(double x, double y, double z);
|
||||
void SetMatrix_JFD(int nvar, int n1, int n2, int n3, derivs u, int *ncols, int **cols, double **Matrix);
|
||||
void J_times_dv(int nvar, int n1, int n2, int n3, derivs dv, double *Jdv, derivs u);
|
||||
void relax(double *dv, int const nvar, int const n1, int const n2, int const n3,
|
||||
double const *rhs, int const *ncols, int **cols, double **JFD);
|
||||
void LineRelax_be(double *dv,
|
||||
int const i, int const k, int const nvar,
|
||||
int const n1, int const n2, int const n3,
|
||||
double const *rhs, int const *ncols, int **cols,
|
||||
double **JFD);
|
||||
void JFD_times_dv(int i, int j, int k, int nvar, int n1, int n2,
|
||||
int n3, derivs dv, derivs u, double *values);
|
||||
void LinEquations(double A, double B, double X, double R,
|
||||
double x, double r, double phi,
|
||||
double y, double z, derivs dU, derivs U, double *values);
|
||||
void LineRelax_al(double *dv,
|
||||
int const j, int const k, int const nvar,
|
||||
int const n1, int const n2, int const n3,
|
||||
double const *rhs, int const *ncols,
|
||||
int **cols, double **JFD);
|
||||
void ThomasAlgorithm(int N, double *b, double *a, double *c, double *x, double *q);
|
||||
void Save(char *fname);
|
||||
// provided by Vasileios Paschalidis (vpaschal@illinois.edu)
|
||||
@@ -164,4 +141,4 @@ public:
|
||||
void SpecCoef(parameters par, int ivar, double *v, double *cf);
|
||||
};
|
||||
|
||||
#endif /* TWO_PUNCTURES_H */
|
||||
#endif /* TWO_PUNCTURES_H */
|
||||
|
||||
File diff suppressed because it is too large
Load Diff
@@ -1000,7 +1000,86 @@
|
||||
do k=1,ex(3)-1
|
||||
do j=1,ex(2)-1
|
||||
do i=1,ex(1)-1
|
||||
#if 0
|
||||
! x direction
|
||||
if(i+2 <= imax .and. i-2 >= imin)then
|
||||
!
|
||||
! f(i-2) - 8 f(i-1) + 8 f(i+1) - f(i+2)
|
||||
! fx(i) = ---------------------------------------------
|
||||
! 12 dx
|
||||
fx(i,j,k)=d12dx*(fh(i-2,j,k)-EIT*fh(i-1,j,k)+EIT*fh(i+1,j,k)-fh(i+2,j,k))
|
||||
|
||||
elseif(i+1 <= imax .and. i-1 >= imin)then
|
||||
!
|
||||
! - f(i-1) + f(i+1)
|
||||
! fx(i) = --------------------------------
|
||||
! 2 dx
|
||||
fx(i,j,k)=d2dx*(-fh(i-1,j,k)+fh(i+1,j,k))
|
||||
|
||||
! set imax and imin 0
|
||||
endif
|
||||
! y direction
|
||||
if(j+2 <= jmax .and. j-2 >= jmin)then
|
||||
|
||||
fy(i,j,k)=d12dy*(fh(i,j-2,k)-EIT*fh(i,j-1,k)+EIT*fh(i,j+1,k)-fh(i,j+2,k))
|
||||
|
||||
elseif(j+1 <= jmax .and. j-1 >= jmin)then
|
||||
|
||||
fy(i,j,k)=d2dy*(-fh(i,j-1,k)+fh(i,j+1,k))
|
||||
|
||||
! set jmax and jmin 0
|
||||
endif
|
||||
! z direction
|
||||
if(k+2 <= kmax .and. k-2 >= kmin)then
|
||||
|
||||
fz(i,j,k)=d12dz*(fh(i,j,k-2)-EIT*fh(i,j,k-1)+EIT*fh(i,j,k+1)-fh(i,j,k+2))
|
||||
|
||||
elseif(k+1 <= kmax .and. k-1 >= kmin)then
|
||||
|
||||
fz(i,j,k)=d2dz*(-fh(i,j,k-1)+fh(i,j,k+1))
|
||||
|
||||
! set kmax and kmin 0
|
||||
endif
|
||||
#elif 0
|
||||
! x direction
|
||||
if(i+2 <= imax .and. i-2 >= imin)then
|
||||
!
|
||||
! f(i-2) - 8 f(i-1) + 8 f(i+1) - f(i+2)
|
||||
! fx(i) = ---------------------------------------------
|
||||
! 12 dx
|
||||
fx(i,j,k)=d12dx*(fh(i-2,j,k)-EIT*fh(i-1,j,k)+EIT*fh(i+1,j,k)-fh(i+2,j,k))
|
||||
|
||||
elseif(i+3 <= imax .and. i-1 >= imin)then
|
||||
fx(i,j,k)=d12dx*(-3.d0*fh(i-1,j,k)-1.d1*fh(i,j,k)+1.8d1*fh(i+1,j,k)-6.d0*fh(i+2,j,k)+fh(i+3,j,k))
|
||||
elseif(i+1 <= imax .and. i-3 >= imin)then
|
||||
fx(i,j,k)=d12dx*( 3.d0*fh(i+1,j,k)+1.d1*fh(i,j,k)-1.8d1*fh(i-1,j,k)+6.d0*fh(i-2,j,k)-fh(i-3,j,k))
|
||||
! set imax and imin 0
|
||||
endif
|
||||
! y direction
|
||||
if(j+2 <= jmax .and. j-2 >= jmin)then
|
||||
|
||||
fy(i,j,k)=d12dy*(fh(i,j-2,k)-EIT*fh(i,j-1,k)+EIT*fh(i,j+1,k)-fh(i,j+2,k))
|
||||
|
||||
elseif(j+3 <= jmax .and. j-1 >= jmin)then
|
||||
fy(i,j,k)=d12dy*(-3.d0*fh(i,j-1,k)-1.d1*fh(i,j,k)+1.8d1*fh(i,j+1,k)-6.d0*fh(i,j+2,k)+fh(i,j+3,k))
|
||||
elseif(j+1 <= jmax .and. j-3 >= jmin)then
|
||||
fy(i,j,k)=d12dy*( 3.d0*fh(i,j+1,k)+1.d1*fh(i,j,k)-1.8d1*fh(i,j-1,k)+6.d0*fh(i,j-2,k)-fh(i,j-3,k))
|
||||
|
||||
! set jmax and jmin 0
|
||||
endif
|
||||
! z direction
|
||||
if(k+2 <= kmax .and. k-2 >= kmin)then
|
||||
|
||||
fz(i,j,k)=d12dz*(fh(i,j,k-2)-EIT*fh(i,j,k-1)+EIT*fh(i,j,k+1)-fh(i,j,k+2))
|
||||
|
||||
elseif(k+3 <= kmax .and. k-1 >= kmin)then
|
||||
fz(i,j,k)=d12dz*(-3.d0*fh(i,j,k-1)-1.d1*fh(i,j,k)+1.8d1*fh(i,j,k+1)-6.d0*fh(i,j,k+2)+fh(i,j,k+3))
|
||||
elseif(k+1 <= kmax .and. k-3 >= kmin)then
|
||||
fz(i,j,k)=d12dz*( 3.d0*fh(i,j,k+1)+1.d1*fh(i,j,k)-1.8d1*fh(i,j,k-1)+6.d0*fh(i,j,k-2)-fh(i,j,k-3))
|
||||
|
||||
! set kmax and kmin 0
|
||||
endif
|
||||
#else
|
||||
! for bam comparison
|
||||
if(i+2 <= imax .and. i-2 >= imin .and. &
|
||||
j+2 <= jmax .and. j-2 >= jmin .and. &
|
||||
@@ -1015,7 +1094,7 @@
|
||||
fy(i,j,k)=d2dy*(-fh(i,j-1,k)+fh(i,j+1,k))
|
||||
fz(i,j,k)=d2dz*(-fh(i,j,k-1)+fh(i,j,k+1))
|
||||
endif
|
||||
|
||||
#endif
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
@@ -1325,7 +1404,85 @@
|
||||
do k=1,ex(3)-1
|
||||
do j=1,ex(2)-1
|
||||
do i=1,ex(1)-1
|
||||
#if 0
|
||||
!~~~~~~ fxx
|
||||
if(i+2 <= imax .and. i-2 >= imin)then
|
||||
!
|
||||
! - f(i-2) + 16 f(i-1) - 30 f(i) + 16 f(i+1) - f(i+2)
|
||||
! fxx(i) = ----------------------------------------------------------
|
||||
! 12 dx^2
|
||||
fxx(i,j,k) = Fdxdx*(-fh(i-2,j,k)+F16*fh(i-1,j,k)-F30*fh(i,j,k) &
|
||||
-fh(i+2,j,k)+F16*fh(i+1,j,k) )
|
||||
elseif(i+1 <= imax .and. i-1 >= imin)then
|
||||
!
|
||||
! f(i-1) - 2 f(i) + f(i+1)
|
||||
! fxx(i) = --------------------------------
|
||||
! dx^2
|
||||
fxx(i,j,k) = Sdxdx*(fh(i-1,j,k)-TWO*fh(i,j,k) &
|
||||
+fh(i+1,j,k) )
|
||||
endif
|
||||
|
||||
|
||||
!~~~~~~ fyy
|
||||
if(j+2 <= jmax .and. j-2 >= jmin)then
|
||||
|
||||
fyy(i,j,k) = Fdydy*(-fh(i,j-2,k)+F16*fh(i,j-1,k)-F30*fh(i,j,k) &
|
||||
-fh(i,j+2,k)+F16*fh(i,j+1,k) )
|
||||
elseif(j+1 <= jmax .and. j-1 >= jmin)then
|
||||
|
||||
fyy(i,j,k) = Sdydy*(fh(i,j-1,k)-TWO*fh(i,j,k) &
|
||||
+fh(i,j+1,k) )
|
||||
endif
|
||||
|
||||
!~~~~~~ fzz
|
||||
if(k+2 <= kmax .and. k-2 >= kmin)then
|
||||
|
||||
fzz(i,j,k) = Fdzdz*(-fh(i,j,k-2)+F16*fh(i,j,k-1)-F30*fh(i,j,k) &
|
||||
-fh(i,j,k+2)+F16*fh(i,j,k+1) )
|
||||
elseif(k+1 <= kmax .and. k-1 >= kmin)then
|
||||
|
||||
fzz(i,j,k) = Sdzdz*(fh(i,j,k-1)-TWO*fh(i,j,k) &
|
||||
+fh(i,j,k+1) )
|
||||
endif
|
||||
!~~~~~~ fxy
|
||||
if(i+2 <= imax .and. i-2 >= imin .and. j+2 <= jmax .and. j-2 >= jmin)then
|
||||
!
|
||||
! ( f(i-2,j-2) - 8 f(i-1,j-2) + 8 f(i+1,j-2) - f(i+2,j-2) )
|
||||
! - 8 ( f(i-2,j-1) - 8 f(i-1,j-1) + 8 f(i+1,j-1) - f(i+2,j-1) )
|
||||
! + 8 ( f(i-2,j+1) - 8 f(i-1,j+1) + 8 f(i+1,j+1) - f(i+2,j+1) )
|
||||
! - ( f(i-2,j+2) - 8 f(i-1,j+2) + 8 f(i+1,j+2) - f(i+2,j+2) )
|
||||
! fxy(i,j) = ----------------------------------------------------------------
|
||||
! 144 dx dy
|
||||
fxy(i,j,k) = Fdxdy*( (fh(i-2,j-2,k)-F8*fh(i-1,j-2,k)+F8*fh(i+1,j-2,k)-fh(i+2,j-2,k)) &
|
||||
-F8 *(fh(i-2,j-1,k)-F8*fh(i-1,j-1,k)+F8*fh(i+1,j-1,k)-fh(i+2,j-1,k)) &
|
||||
+F8 *(fh(i-2,j+1,k)-F8*fh(i-1,j+1,k)+F8*fh(i+1,j+1,k)-fh(i+2,j+1,k)) &
|
||||
- (fh(i-2,j+2,k)-F8*fh(i-1,j+2,k)+F8*fh(i+1,j+2,k)-fh(i+2,j+2,k)))
|
||||
|
||||
elseif(i+1 <= imax .and. i-1 >= imin .and. j+1 <= jmax .and. j-1 >= jmin)then
|
||||
! f(i-1,j-1) - f(i+1,j-1) - f(i-1,j+1) + f(i+1,j+1)
|
||||
! fxy(i,j) = -----------------------------------------------------------
|
||||
! 4 dx dy
|
||||
fxy(i,j,k) = Sdxdy*(fh(i-1,j-1,k)-fh(i+1,j-1,k)-fh(i-1,j+1,k)+fh(i+1,j+1,k))
|
||||
endif
|
||||
!~~~~~~ fxz
|
||||
if(i+2 <= imax .and. i-2 >= imin .and. k+2 <= kmax .and. k-2 >= kmin)then
|
||||
fxz(i,j,k) = Fdxdz*( (fh(i-2,j,k-2)-F8*fh(i-1,j,k-2)+F8*fh(i+1,j,k-2)-fh(i+2,j,k-2)) &
|
||||
-F8 *(fh(i-2,j,k-1)-F8*fh(i-1,j,k-1)+F8*fh(i+1,j,k-1)-fh(i+2,j,k-1)) &
|
||||
+F8 *(fh(i-2,j,k+1)-F8*fh(i-1,j,k+1)+F8*fh(i+1,j,k+1)-fh(i+2,j,k+1)) &
|
||||
- (fh(i-2,j,k+2)-F8*fh(i-1,j,k+2)+F8*fh(i+1,j,k+2)-fh(i+2,j,k+2)))
|
||||
elseif(i+1 <= imax .and. i-1 >= imin .and. k+1 <= kmax .and. k-1 >= kmin)then
|
||||
fxz(i,j,k) = Sdxdz*(fh(i-1,j,k-1)-fh(i+1,j,k-1)-fh(i-1,j,k+1)+fh(i+1,j,k+1))
|
||||
endif
|
||||
!~~~~~~ fyz
|
||||
if(j+2 <= jmax .and. j-2 >= jmin .and. k+2 <= kmax .and. k-2 >= kmin)then
|
||||
fyz(i,j,k) = Fdydz*( (fh(i,j-2,k-2)-F8*fh(i,j-1,k-2)+F8*fh(i,j+1,k-2)-fh(i,j+2,k-2)) &
|
||||
-F8 *(fh(i,j-2,k-1)-F8*fh(i,j-1,k-1)+F8*fh(i,j+1,k-1)-fh(i,j+2,k-1)) &
|
||||
+F8 *(fh(i,j-2,k+1)-F8*fh(i,j-1,k+1)+F8*fh(i,j+1,k+1)-fh(i,j+2,k+1)) &
|
||||
- (fh(i,j-2,k+2)-F8*fh(i,j-1,k+2)+F8*fh(i,j+1,k+2)-fh(i,j+2,k+2)))
|
||||
elseif(j+1 <= jmax .and. j-1 >= jmin .and. k+1 <= kmax .and. k-1 >= kmin)then
|
||||
fyz(i,j,k) = Sdydz*(fh(i,j-1,k-1)-fh(i,j+1,k-1)-fh(i,j-1,k+1)+fh(i,j+1,k+1))
|
||||
endif
|
||||
#else
|
||||
! for bam comparison
|
||||
if(i+2 <= imax .and. i-2 >= imin .and. &
|
||||
j+2 <= jmax .and. j-2 >= jmin .and. &
|
||||
@@ -1361,7 +1518,7 @@
|
||||
fxz(i,j,k) = Sdxdz*(fh(i-1,j,k-1)-fh(i+1,j,k-1)-fh(i-1,j,k+1)+fh(i+1,j,k+1))
|
||||
fyz(i,j,k) = Sdydz*(fh(i,j-1,k-1)-fh(i,j+1,k-1)-fh(i,j-1,k+1)+fh(i,j+1,k+1))
|
||||
endif
|
||||
|
||||
#endif
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
@@ -1782,6 +1939,309 @@
|
||||
return
|
||||
|
||||
end subroutine fddyz
|
||||
subroutine fderivs_batch4(ex,f1,f2,f3,f4, &
|
||||
f1x,f1y,f1z,f2x,f2y,f2z,f3x,f3y,f3z,f4x,f4y,f4z, &
|
||||
X,Y,Z,SYM1,SYM2,SYM3,symmetry,onoff)
|
||||
implicit none
|
||||
|
||||
integer, intent(in ):: ex(1:3),symmetry,onoff
|
||||
real*8, dimension(ex(1),ex(2),ex(3)), intent(in ):: f1,f2,f3,f4
|
||||
real*8, dimension(ex(1),ex(2),ex(3)), intent(out):: f1x,f1y,f1z
|
||||
real*8, dimension(ex(1),ex(2),ex(3)), intent(out):: f2x,f2y,f2z
|
||||
real*8, dimension(ex(1),ex(2),ex(3)), intent(out):: f3x,f3y,f3z
|
||||
real*8, dimension(ex(1),ex(2),ex(3)), intent(out):: f4x,f4y,f4z
|
||||
real*8, intent(in) :: X(ex(1)),Y(ex(2)),Z(ex(3))
|
||||
real*8, intent(in ):: SYM1,SYM2,SYM3
|
||||
|
||||
!~~~~~~ other variables
|
||||
|
||||
real*8 :: dX,dY,dZ
|
||||
real*8,dimension(-1:ex(1),-1:ex(2),-1:ex(3)) :: fh1,fh2,fh3,fh4
|
||||
real*8, dimension(3) :: SoA
|
||||
integer :: imin,jmin,kmin,imax,jmax,kmax,i,j,k
|
||||
real*8 :: d12dx,d12dy,d12dz,d2dx,d2dy,d2dz
|
||||
integer, parameter :: NO_SYMM = 0, EQ_SYMM = 1, OCTANT = 2
|
||||
real*8, parameter :: ZEO=0.d0,ONE=1.d0
|
||||
real*8, parameter :: TWO=2.d0,EIT=8.d0
|
||||
real*8, parameter :: F12=1.2d1
|
||||
|
||||
dX = X(2)-X(1)
|
||||
dY = Y(2)-Y(1)
|
||||
dZ = Z(2)-Z(1)
|
||||
|
||||
imax = ex(1)
|
||||
jmax = ex(2)
|
||||
kmax = ex(3)
|
||||
|
||||
imin = 1
|
||||
jmin = 1
|
||||
kmin = 1
|
||||
if(Symmetry > NO_SYMM .and. dabs(Z(1)) < dZ) kmin = -1
|
||||
if(Symmetry > EQ_SYMM .and. dabs(X(1)) < dX) imin = -1
|
||||
if(Symmetry > EQ_SYMM .and. dabs(Y(1)) < dY) jmin = -1
|
||||
|
||||
SoA(1) = SYM1
|
||||
SoA(2) = SYM2
|
||||
SoA(3) = SYM3
|
||||
|
||||
call symmetry_bd(2,ex,f1,fh1,SoA)
|
||||
call symmetry_bd(2,ex,f2,fh2,SoA)
|
||||
call symmetry_bd(2,ex,f3,fh3,SoA)
|
||||
call symmetry_bd(2,ex,f4,fh4,SoA)
|
||||
|
||||
d12dx = ONE/F12/dX
|
||||
d12dy = ONE/F12/dY
|
||||
d12dz = ONE/F12/dZ
|
||||
|
||||
d2dx = ONE/TWO/dX
|
||||
d2dy = ONE/TWO/dY
|
||||
d2dz = ONE/TWO/dZ
|
||||
|
||||
f1x = ZEO; f1y = ZEO; f1z = ZEO
|
||||
f2x = ZEO; f2y = ZEO; f2z = ZEO
|
||||
f3x = ZEO; f3y = ZEO; f3z = ZEO
|
||||
f4x = ZEO; f4y = ZEO; f4z = ZEO
|
||||
|
||||
do k=1,ex(3)-1
|
||||
do j=1,ex(2)-1
|
||||
do i=1,ex(1)-1
|
||||
if(i+2 <= imax .and. i-2 >= imin .and. &
|
||||
j+2 <= jmax .and. j-2 >= jmin .and. &
|
||||
k+2 <= kmax .and. k-2 >= kmin) then
|
||||
f1x(i,j,k)=d12dx*(fh1(i-2,j,k)-EIT*fh1(i-1,j,k)+EIT*fh1(i+1,j,k)-fh1(i+2,j,k))
|
||||
f1y(i,j,k)=d12dy*(fh1(i,j-2,k)-EIT*fh1(i,j-1,k)+EIT*fh1(i,j+1,k)-fh1(i,j+2,k))
|
||||
f1z(i,j,k)=d12dz*(fh1(i,j,k-2)-EIT*fh1(i,j,k-1)+EIT*fh1(i,j,k+1)-fh1(i,j,k+2))
|
||||
|
||||
f2x(i,j,k)=d12dx*(fh2(i-2,j,k)-EIT*fh2(i-1,j,k)+EIT*fh2(i+1,j,k)-fh2(i+2,j,k))
|
||||
f2y(i,j,k)=d12dy*(fh2(i,j-2,k)-EIT*fh2(i,j-1,k)+EIT*fh2(i,j+1,k)-fh2(i,j+2,k))
|
||||
f2z(i,j,k)=d12dz*(fh2(i,j,k-2)-EIT*fh2(i,j,k-1)+EIT*fh2(i,j,k+1)-fh2(i,j,k+2))
|
||||
|
||||
f3x(i,j,k)=d12dx*(fh3(i-2,j,k)-EIT*fh3(i-1,j,k)+EIT*fh3(i+1,j,k)-fh3(i+2,j,k))
|
||||
f3y(i,j,k)=d12dy*(fh3(i,j-2,k)-EIT*fh3(i,j-1,k)+EIT*fh3(i,j+1,k)-fh3(i,j+2,k))
|
||||
f3z(i,j,k)=d12dz*(fh3(i,j,k-2)-EIT*fh3(i,j,k-1)+EIT*fh3(i,j,k+1)-fh3(i,j,k+2))
|
||||
|
||||
f4x(i,j,k)=d12dx*(fh4(i-2,j,k)-EIT*fh4(i-1,j,k)+EIT*fh4(i+1,j,k)-fh4(i+2,j,k))
|
||||
f4y(i,j,k)=d12dy*(fh4(i,j-2,k)-EIT*fh4(i,j-1,k)+EIT*fh4(i,j+1,k)-fh4(i,j+2,k))
|
||||
f4z(i,j,k)=d12dz*(fh4(i,j,k-2)-EIT*fh4(i,j,k-1)+EIT*fh4(i,j,k+1)-fh4(i,j,k+2))
|
||||
elseif(i+1 <= imax .and. i-1 >= imin .and. &
|
||||
j+1 <= jmax .and. j-1 >= jmin .and. &
|
||||
k+1 <= kmax .and. k-1 >= kmin) then
|
||||
f1x(i,j,k)=d2dx*(-fh1(i-1,j,k)+fh1(i+1,j,k))
|
||||
f1y(i,j,k)=d2dy*(-fh1(i,j-1,k)+fh1(i,j+1,k))
|
||||
f1z(i,j,k)=d2dz*(-fh1(i,j,k-1)+fh1(i,j,k+1))
|
||||
|
||||
f2x(i,j,k)=d2dx*(-fh2(i-1,j,k)+fh2(i+1,j,k))
|
||||
f2y(i,j,k)=d2dy*(-fh2(i,j-1,k)+fh2(i,j+1,k))
|
||||
f2z(i,j,k)=d2dz*(-fh2(i,j,k-1)+fh2(i,j,k+1))
|
||||
|
||||
f3x(i,j,k)=d2dx*(-fh3(i-1,j,k)+fh3(i+1,j,k))
|
||||
f3y(i,j,k)=d2dy*(-fh3(i,j-1,k)+fh3(i,j+1,k))
|
||||
f3z(i,j,k)=d2dz*(-fh3(i,j,k-1)+fh3(i,j,k+1))
|
||||
|
||||
f4x(i,j,k)=d2dx*(-fh4(i-1,j,k)+fh4(i+1,j,k))
|
||||
f4y(i,j,k)=d2dy*(-fh4(i,j-1,k)+fh4(i,j+1,k))
|
||||
f4z(i,j,k)=d2dz*(-fh4(i,j,k-1)+fh4(i,j,k+1))
|
||||
endif
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
return
|
||||
|
||||
end subroutine fderivs_batch4
|
||||
!-----------------------------------------------------------------------------
|
||||
! batch first derivatives (3 fields), same symmetry setup
|
||||
!-----------------------------------------------------------------------------
|
||||
subroutine fderivs_batch3(ex,f1,f2,f3, &
|
||||
f1x,f1y,f1z,f2x,f2y,f2z,f3x,f3y,f3z, &
|
||||
X,Y,Z,SYM1,SYM2,SYM3,symmetry,onoff)
|
||||
implicit none
|
||||
|
||||
integer, intent(in ):: ex(1:3),symmetry,onoff
|
||||
real*8, dimension(ex(1),ex(2),ex(3)), intent(in ):: f1,f2,f3
|
||||
real*8, dimension(ex(1),ex(2),ex(3)), intent(out):: f1x,f1y,f1z
|
||||
real*8, dimension(ex(1),ex(2),ex(3)), intent(out):: f2x,f2y,f2z
|
||||
real*8, dimension(ex(1),ex(2),ex(3)), intent(out):: f3x,f3y,f3z
|
||||
real*8, intent(in) :: X(ex(1)),Y(ex(2)),Z(ex(3))
|
||||
real*8, intent(in ):: SYM1,SYM2,SYM3
|
||||
|
||||
!~~~~~~ other variables
|
||||
|
||||
real*8 :: dX,dY,dZ
|
||||
real*8,dimension(-1:ex(1),-1:ex(2),-1:ex(3)) :: fh1,fh2,fh3
|
||||
real*8, dimension(3) :: SoA
|
||||
integer :: imin,jmin,kmin,imax,jmax,kmax,i,j,k
|
||||
real*8 :: d12dx,d12dy,d12dz,d2dx,d2dy,d2dz
|
||||
integer, parameter :: NO_SYMM = 0, EQ_SYMM = 1, OCTANT = 2
|
||||
real*8, parameter :: ZEO=0.d0,ONE=1.d0
|
||||
real*8, parameter :: TWO=2.d0,EIT=8.d0
|
||||
real*8, parameter :: F12=1.2d1
|
||||
|
||||
dX = X(2)-X(1)
|
||||
dY = Y(2)-Y(1)
|
||||
dZ = Z(2)-Z(1)
|
||||
|
||||
imax = ex(1)
|
||||
jmax = ex(2)
|
||||
kmax = ex(3)
|
||||
|
||||
imin = 1
|
||||
jmin = 1
|
||||
kmin = 1
|
||||
if(Symmetry > NO_SYMM .and. dabs(Z(1)) < dZ) kmin = -1
|
||||
if(Symmetry > EQ_SYMM .and. dabs(X(1)) < dX) imin = -1
|
||||
if(Symmetry > EQ_SYMM .and. dabs(Y(1)) < dY) jmin = -1
|
||||
|
||||
SoA(1) = SYM1
|
||||
SoA(2) = SYM2
|
||||
SoA(3) = SYM3
|
||||
|
||||
call symmetry_bd(2,ex,f1,fh1,SoA)
|
||||
call symmetry_bd(2,ex,f2,fh2,SoA)
|
||||
call symmetry_bd(2,ex,f3,fh3,SoA)
|
||||
|
||||
d12dx = ONE/F12/dX
|
||||
d12dy = ONE/F12/dY
|
||||
d12dz = ONE/F12/dZ
|
||||
|
||||
d2dx = ONE/TWO/dX
|
||||
d2dy = ONE/TWO/dY
|
||||
d2dz = ONE/TWO/dZ
|
||||
|
||||
f1x = ZEO; f1y = ZEO; f1z = ZEO
|
||||
f2x = ZEO; f2y = ZEO; f2z = ZEO
|
||||
f3x = ZEO; f3y = ZEO; f3z = ZEO
|
||||
|
||||
do k=1,ex(3)-1
|
||||
do j=1,ex(2)-1
|
||||
do i=1,ex(1)-1
|
||||
if(i+2 <= imax .and. i-2 >= imin .and. &
|
||||
j+2 <= jmax .and. j-2 >= jmin .and. &
|
||||
k+2 <= kmax .and. k-2 >= kmin) then
|
||||
f1x(i,j,k)=d12dx*(fh1(i-2,j,k)-EIT*fh1(i-1,j,k)+EIT*fh1(i+1,j,k)-fh1(i+2,j,k))
|
||||
f1y(i,j,k)=d12dy*(fh1(i,j-2,k)-EIT*fh1(i,j-1,k)+EIT*fh1(i,j+1,k)-fh1(i,j+2,k))
|
||||
f1z(i,j,k)=d12dz*(fh1(i,j,k-2)-EIT*fh1(i,j,k-1)+EIT*fh1(i,j,k+1)-fh1(i,j,k+2))
|
||||
|
||||
f2x(i,j,k)=d12dx*(fh2(i-2,j,k)-EIT*fh2(i-1,j,k)+EIT*fh2(i+1,j,k)-fh2(i+2,j,k))
|
||||
f2y(i,j,k)=d12dy*(fh2(i,j-2,k)-EIT*fh2(i,j-1,k)+EIT*fh2(i,j+1,k)-fh2(i,j+2,k))
|
||||
f2z(i,j,k)=d12dz*(fh2(i,j,k-2)-EIT*fh2(i,j,k-1)+EIT*fh2(i,j,k+1)-fh2(i,j,k+2))
|
||||
|
||||
f3x(i,j,k)=d12dx*(fh3(i-2,j,k)-EIT*fh3(i-1,j,k)+EIT*fh3(i+1,j,k)-fh3(i+2,j,k))
|
||||
f3y(i,j,k)=d12dy*(fh3(i,j-2,k)-EIT*fh3(i,j-1,k)+EIT*fh3(i,j+1,k)-fh3(i,j+2,k))
|
||||
f3z(i,j,k)=d12dz*(fh3(i,j,k-2)-EIT*fh3(i,j,k-1)+EIT*fh3(i,j,k+1)-fh3(i,j,k+2))
|
||||
elseif(i+1 <= imax .and. i-1 >= imin .and. &
|
||||
j+1 <= jmax .and. j-1 >= jmin .and. &
|
||||
k+1 <= kmax .and. k-1 >= kmin) then
|
||||
f1x(i,j,k)=d2dx*(-fh1(i-1,j,k)+fh1(i+1,j,k))
|
||||
f1y(i,j,k)=d2dy*(-fh1(i,j-1,k)+fh1(i,j+1,k))
|
||||
f1z(i,j,k)=d2dz*(-fh1(i,j,k-1)+fh1(i,j,k+1))
|
||||
|
||||
f2x(i,j,k)=d2dx*(-fh2(i-1,j,k)+fh2(i+1,j,k))
|
||||
f2y(i,j,k)=d2dy*(-fh2(i,j-1,k)+fh2(i,j+1,k))
|
||||
f2z(i,j,k)=d2dz*(-fh2(i,j,k-1)+fh2(i,j,k+1))
|
||||
|
||||
f3x(i,j,k)=d2dx*(-fh3(i-1,j,k)+fh3(i+1,j,k))
|
||||
f3y(i,j,k)=d2dy*(-fh3(i,j-1,k)+fh3(i,j+1,k))
|
||||
f3z(i,j,k)=d2dz*(-fh3(i,j,k-1)+fh3(i,j,k+1))
|
||||
endif
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
return
|
||||
|
||||
end subroutine fderivs_batch3
|
||||
!-----------------------------------------------------------------------------
|
||||
! batch first derivatives (2 fields), same symmetry setup
|
||||
!-----------------------------------------------------------------------------
|
||||
subroutine fderivs_batch2(ex,f1,f2, &
|
||||
f1x,f1y,f1z,f2x,f2y,f2z, &
|
||||
X,Y,Z,SYM1,SYM2,SYM3,symmetry,onoff)
|
||||
implicit none
|
||||
|
||||
integer, intent(in ):: ex(1:3),symmetry,onoff
|
||||
real*8, dimension(ex(1),ex(2),ex(3)), intent(in ):: f1,f2
|
||||
real*8, dimension(ex(1),ex(2),ex(3)), intent(out):: f1x,f1y,f1z
|
||||
real*8, dimension(ex(1),ex(2),ex(3)), intent(out):: f2x,f2y,f2z
|
||||
real*8, intent(in) :: X(ex(1)),Y(ex(2)),Z(ex(3))
|
||||
real*8, intent(in ):: SYM1,SYM2,SYM3
|
||||
|
||||
!~~~~~~ other variables
|
||||
|
||||
real*8 :: dX,dY,dZ
|
||||
real*8,dimension(-1:ex(1),-1:ex(2),-1:ex(3)) :: fh1,fh2
|
||||
real*8, dimension(3) :: SoA
|
||||
integer :: imin,jmin,kmin,imax,jmax,kmax,i,j,k
|
||||
real*8 :: d12dx,d12dy,d12dz,d2dx,d2dy,d2dz
|
||||
integer, parameter :: NO_SYMM = 0, EQ_SYMM = 1, OCTANT = 2
|
||||
real*8, parameter :: ZEO=0.d0,ONE=1.d0
|
||||
real*8, parameter :: TWO=2.d0,EIT=8.d0
|
||||
real*8, parameter :: F12=1.2d1
|
||||
|
||||
dX = X(2)-X(1)
|
||||
dY = Y(2)-Y(1)
|
||||
dZ = Z(2)-Z(1)
|
||||
|
||||
imax = ex(1)
|
||||
jmax = ex(2)
|
||||
kmax = ex(3)
|
||||
|
||||
imin = 1
|
||||
jmin = 1
|
||||
kmin = 1
|
||||
if(Symmetry > NO_SYMM .and. dabs(Z(1)) < dZ) kmin = -1
|
||||
if(Symmetry > EQ_SYMM .and. dabs(X(1)) < dX) imin = -1
|
||||
if(Symmetry > EQ_SYMM .and. dabs(Y(1)) < dY) jmin = -1
|
||||
|
||||
SoA(1) = SYM1
|
||||
SoA(2) = SYM2
|
||||
SoA(3) = SYM3
|
||||
|
||||
call symmetry_bd(2,ex,f1,fh1,SoA)
|
||||
call symmetry_bd(2,ex,f2,fh2,SoA)
|
||||
|
||||
d12dx = ONE/F12/dX
|
||||
d12dy = ONE/F12/dY
|
||||
d12dz = ONE/F12/dZ
|
||||
|
||||
d2dx = ONE/TWO/dX
|
||||
d2dy = ONE/TWO/dY
|
||||
d2dz = ONE/TWO/dZ
|
||||
|
||||
f1x = ZEO; f1y = ZEO; f1z = ZEO
|
||||
f2x = ZEO; f2y = ZEO; f2z = ZEO
|
||||
|
||||
do k=1,ex(3)-1
|
||||
do j=1,ex(2)-1
|
||||
do i=1,ex(1)-1
|
||||
if(i+2 <= imax .and. i-2 >= imin .and. &
|
||||
j+2 <= jmax .and. j-2 >= jmin .and. &
|
||||
k+2 <= kmax .and. k-2 >= kmin) then
|
||||
f1x(i,j,k)=d12dx*(fh1(i-2,j,k)-EIT*fh1(i-1,j,k)+EIT*fh1(i+1,j,k)-fh1(i+2,j,k))
|
||||
f1y(i,j,k)=d12dy*(fh1(i,j-2,k)-EIT*fh1(i,j-1,k)+EIT*fh1(i,j+1,k)-fh1(i,j+2,k))
|
||||
f1z(i,j,k)=d12dz*(fh1(i,j,k-2)-EIT*fh1(i,j,k-1)+EIT*fh1(i,j,k+1)-fh1(i,j,k+2))
|
||||
|
||||
f2x(i,j,k)=d12dx*(fh2(i-2,j,k)-EIT*fh2(i-1,j,k)+EIT*fh2(i+1,j,k)-fh2(i+2,j,k))
|
||||
f2y(i,j,k)=d12dy*(fh2(i,j-2,k)-EIT*fh2(i,j-1,k)+EIT*fh2(i,j+1,k)-fh2(i,j+2,k))
|
||||
f2z(i,j,k)=d12dz*(fh2(i,j,k-2)-EIT*fh2(i,j,k-1)+EIT*fh2(i,j,k+1)-fh2(i,j,k+2))
|
||||
elseif(i+1 <= imax .and. i-1 >= imin .and. &
|
||||
j+1 <= jmax .and. j-1 >= jmin .and. &
|
||||
k+1 <= kmax .and. k-1 >= kmin) then
|
||||
f1x(i,j,k)=d2dx*(-fh1(i-1,j,k)+fh1(i+1,j,k))
|
||||
f1y(i,j,k)=d2dy*(-fh1(i,j-1,k)+fh1(i,j+1,k))
|
||||
f1z(i,j,k)=d2dz*(-fh1(i,j,k-1)+fh1(i,j,k+1))
|
||||
|
||||
f2x(i,j,k)=d2dx*(-fh2(i-1,j,k)+fh2(i+1,j,k))
|
||||
f2y(i,j,k)=d2dy*(-fh2(i,j-1,k)+fh2(i,j+1,k))
|
||||
f2z(i,j,k)=d2dz*(-fh2(i,j,k-1)+fh2(i,j,k+1))
|
||||
endif
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
return
|
||||
|
||||
end subroutine fderivs_batch2
|
||||
|
||||
#elif (ghost_width == 4)
|
||||
! sixth order code
|
||||
@@ -1920,6 +2380,9 @@
|
||||
|
||||
end subroutine fderivs
|
||||
!-----------------------------------------------------------------------------
|
||||
! batch first derivatives (4 fields), same symmetry setup
|
||||
!-----------------------------------------------------------------------------
|
||||
!-----------------------------------------------------------------------------
|
||||
!
|
||||
! single derivatives dx
|
||||
!
|
||||
|
||||
@@ -18,61 +18,49 @@
|
||||
real*8, dimension(ex(1),ex(2),ex(3)), intent(inout) :: Ayy,Ayz,Azz
|
||||
|
||||
!~~~~~~~> Local variable:
|
||||
|
||||
integer :: i,j,k
|
||||
real*8 :: lgxx,lgyy,lgzz,ldetg
|
||||
real*8 :: lgupxx,lgupxy,lgupxz,lgupyy,lgupyz,lgupzz
|
||||
real*8 :: ltrA,lscale
|
||||
|
||||
real*8, dimension(ex(1),ex(2),ex(3)) :: trA,detg
|
||||
real*8, dimension(ex(1),ex(2),ex(3)) :: gxx,gyy,gzz
|
||||
real*8, dimension(ex(1),ex(2),ex(3)) :: gupxx,gupxy,gupxz,gupyy,gupyz,gupzz
|
||||
real*8, parameter :: F1o3 = 1.D0 / 3.D0, ONE = 1.D0, TWO = 2.D0
|
||||
|
||||
!~~~~~~>
|
||||
|
||||
do k=1,ex(3)
|
||||
do j=1,ex(2)
|
||||
do i=1,ex(1)
|
||||
gxx = dxx + ONE
|
||||
gyy = dyy + ONE
|
||||
gzz = dzz + ONE
|
||||
|
||||
lgxx = dxx(i,j,k) + ONE
|
||||
lgyy = dyy(i,j,k) + ONE
|
||||
lgzz = dzz(i,j,k) + ONE
|
||||
detg = gxx * gyy * gzz + gxy * gyz * gxz + gxz * gxy * gyz - &
|
||||
gxz * gyy * gxz - gxy * gxy * gzz - gxx * gyz * gyz
|
||||
gupxx = ( gyy * gzz - gyz * gyz ) / detg
|
||||
gupxy = - ( gxy * gzz - gyz * gxz ) / detg
|
||||
gupxz = ( gxy * gyz - gyy * gxz ) / detg
|
||||
gupyy = ( gxx * gzz - gxz * gxz ) / detg
|
||||
gupyz = - ( gxx * gyz - gxy * gxz ) / detg
|
||||
gupzz = ( gxx * gyy - gxy * gxy ) / detg
|
||||
|
||||
ldetg = lgxx * lgyy * lgzz &
|
||||
+ gxy(i,j,k) * gyz(i,j,k) * gxz(i,j,k) &
|
||||
+ gxz(i,j,k) * gxy(i,j,k) * gyz(i,j,k) &
|
||||
- gxz(i,j,k) * lgyy * gxz(i,j,k) &
|
||||
- gxy(i,j,k) * gxy(i,j,k) * lgzz &
|
||||
- lgxx * gyz(i,j,k) * gyz(i,j,k)
|
||||
trA = gupxx * Axx + gupyy * Ayy + gupzz * Azz &
|
||||
+ TWO * (gupxy * Axy + gupxz * Axz + gupyz * Ayz)
|
||||
|
||||
lgupxx = ( lgyy * lgzz - gyz(i,j,k) * gyz(i,j,k) ) / ldetg
|
||||
lgupxy = - ( gxy(i,j,k) * lgzz - gyz(i,j,k) * gxz(i,j,k) ) / ldetg
|
||||
lgupxz = ( gxy(i,j,k) * gyz(i,j,k) - lgyy * gxz(i,j,k) ) / ldetg
|
||||
lgupyy = ( lgxx * lgzz - gxz(i,j,k) * gxz(i,j,k) ) / ldetg
|
||||
lgupyz = - ( lgxx * gyz(i,j,k) - gxy(i,j,k) * gxz(i,j,k) ) / ldetg
|
||||
lgupzz = ( lgxx * lgyy - gxy(i,j,k) * gxy(i,j,k) ) / ldetg
|
||||
Axx = Axx - F1o3 * gxx * trA
|
||||
Axy = Axy - F1o3 * gxy * trA
|
||||
Axz = Axz - F1o3 * gxz * trA
|
||||
Ayy = Ayy - F1o3 * gyy * trA
|
||||
Ayz = Ayz - F1o3 * gyz * trA
|
||||
Azz = Azz - F1o3 * gzz * trA
|
||||
|
||||
ltrA = lgupxx * Axx(i,j,k) + lgupyy * Ayy(i,j,k) &
|
||||
+ lgupzz * Azz(i,j,k) &
|
||||
+ TWO * (lgupxy * Axy(i,j,k) + lgupxz * Axz(i,j,k) &
|
||||
+ lgupyz * Ayz(i,j,k))
|
||||
detg = ONE / ( detg ** F1o3 )
|
||||
|
||||
gxx = gxx * detg
|
||||
gxy = gxy * detg
|
||||
gxz = gxz * detg
|
||||
gyy = gyy * detg
|
||||
gyz = gyz * detg
|
||||
gzz = gzz * detg
|
||||
|
||||
Axx(i,j,k) = Axx(i,j,k) - F1o3 * lgxx * ltrA
|
||||
Axy(i,j,k) = Axy(i,j,k) - F1o3 * gxy(i,j,k) * ltrA
|
||||
Axz(i,j,k) = Axz(i,j,k) - F1o3 * gxz(i,j,k) * ltrA
|
||||
Ayy(i,j,k) = Ayy(i,j,k) - F1o3 * lgyy * ltrA
|
||||
Ayz(i,j,k) = Ayz(i,j,k) - F1o3 * gyz(i,j,k) * ltrA
|
||||
Azz(i,j,k) = Azz(i,j,k) - F1o3 * lgzz * ltrA
|
||||
|
||||
lscale = ONE / ( ldetg ** F1o3 )
|
||||
|
||||
dxx(i,j,k) = lgxx * lscale - ONE
|
||||
gxy(i,j,k) = gxy(i,j,k) * lscale
|
||||
gxz(i,j,k) = gxz(i,j,k) * lscale
|
||||
dyy(i,j,k) = lgyy * lscale - ONE
|
||||
gyz(i,j,k) = gyz(i,j,k) * lscale
|
||||
dzz(i,j,k) = lgzz * lscale - ONE
|
||||
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
dxx = gxx - ONE
|
||||
dyy = gyy - ONE
|
||||
dzz = gzz - ONE
|
||||
|
||||
return
|
||||
|
||||
@@ -94,71 +82,51 @@
|
||||
real*8, dimension(ex(1),ex(2),ex(3)), intent(inout) :: Ayy,Ayz,Azz
|
||||
|
||||
!~~~~~~~> Local variable:
|
||||
|
||||
integer :: i,j,k
|
||||
real*8 :: lgxx,lgyy,lgzz,lscale
|
||||
real*8 :: lgxy,lgxz,lgyz
|
||||
real*8 :: lgupxx,lgupxy,lgupxz,lgupyy,lgupyz,lgupzz
|
||||
real*8 :: ltrA
|
||||
|
||||
real*8, dimension(ex(1),ex(2),ex(3)) :: trA
|
||||
real*8, dimension(ex(1),ex(2),ex(3)) :: gxx,gyy,gzz
|
||||
real*8, dimension(ex(1),ex(2),ex(3)) :: gupxx,gupxy,gupxz,gupyy,gupyz,gupzz
|
||||
real*8, parameter :: F1o3 = 1.D0 / 3.D0, ONE = 1.D0, TWO = 2.D0
|
||||
|
||||
!~~~~~~>
|
||||
|
||||
do k=1,ex(3)
|
||||
do j=1,ex(2)
|
||||
do i=1,ex(1)
|
||||
gxx = dxx + ONE
|
||||
gyy = dyy + ONE
|
||||
gzz = dzz + ONE
|
||||
! for g
|
||||
gupzz = gxx * gyy * gzz + gxy * gyz * gxz + gxz * gxy * gyz - &
|
||||
gxz * gyy * gxz - gxy * gxy * gzz - gxx * gyz * gyz
|
||||
|
||||
! for g: normalize determinant first
|
||||
lgxx = dxx(i,j,k) + ONE
|
||||
lgyy = dyy(i,j,k) + ONE
|
||||
lgzz = dzz(i,j,k) + ONE
|
||||
lgxy = gxy(i,j,k)
|
||||
lgxz = gxz(i,j,k)
|
||||
lgyz = gyz(i,j,k)
|
||||
gupzz = ONE / ( gupzz ** F1o3 )
|
||||
|
||||
gxx = gxx * gupzz
|
||||
gxy = gxy * gupzz
|
||||
gxz = gxz * gupzz
|
||||
gyy = gyy * gupzz
|
||||
gyz = gyz * gupzz
|
||||
gzz = gzz * gupzz
|
||||
|
||||
lscale = lgxx * lgyy * lgzz + lgxy * lgyz * lgxz &
|
||||
+ lgxz * lgxy * lgyz - lgxz * lgyy * lgxz &
|
||||
- lgxy * lgxy * lgzz - lgxx * lgyz * lgyz
|
||||
dxx = gxx - ONE
|
||||
dyy = gyy - ONE
|
||||
dzz = gzz - ONE
|
||||
! for A
|
||||
|
||||
lscale = ONE / ( lscale ** F1o3 )
|
||||
gupxx = ( gyy * gzz - gyz * gyz )
|
||||
gupxy = - ( gxy * gzz - gyz * gxz )
|
||||
gupxz = ( gxy * gyz - gyy * gxz )
|
||||
gupyy = ( gxx * gzz - gxz * gxz )
|
||||
gupyz = - ( gxx * gyz - gxy * gxz )
|
||||
gupzz = ( gxx * gyy - gxy * gxy )
|
||||
|
||||
lgxx = lgxx * lscale
|
||||
lgxy = lgxy * lscale
|
||||
lgxz = lgxz * lscale
|
||||
lgyy = lgyy * lscale
|
||||
lgyz = lgyz * lscale
|
||||
lgzz = lgzz * lscale
|
||||
trA = gupxx * Axx + gupyy * Ayy + gupzz * Azz &
|
||||
+ TWO * (gupxy * Axy + gupxz * Axz + gupyz * Ayz)
|
||||
|
||||
dxx(i,j,k) = lgxx - ONE
|
||||
gxy(i,j,k) = lgxy
|
||||
gxz(i,j,k) = lgxz
|
||||
dyy(i,j,k) = lgyy - ONE
|
||||
gyz(i,j,k) = lgyz
|
||||
dzz(i,j,k) = lgzz - ONE
|
||||
|
||||
! for A: trace-free using normalized metric (det=1, no division needed)
|
||||
lgupxx = ( lgyy * lgzz - lgyz * lgyz )
|
||||
lgupxy = - ( lgxy * lgzz - lgyz * lgxz )
|
||||
lgupxz = ( lgxy * lgyz - lgyy * lgxz )
|
||||
lgupyy = ( lgxx * lgzz - lgxz * lgxz )
|
||||
lgupyz = - ( lgxx * lgyz - lgxy * lgxz )
|
||||
lgupzz = ( lgxx * lgyy - lgxy * lgxy )
|
||||
|
||||
ltrA = lgupxx * Axx(i,j,k) + lgupyy * Ayy(i,j,k) &
|
||||
+ lgupzz * Azz(i,j,k) &
|
||||
+ TWO * (lgupxy * Axy(i,j,k) + lgupxz * Axz(i,j,k) &
|
||||
+ lgupyz * Ayz(i,j,k))
|
||||
|
||||
Axx(i,j,k) = Axx(i,j,k) - F1o3 * lgxx * ltrA
|
||||
Axy(i,j,k) = Axy(i,j,k) - F1o3 * lgxy * ltrA
|
||||
Axz(i,j,k) = Axz(i,j,k) - F1o3 * lgxz * ltrA
|
||||
Ayy(i,j,k) = Ayy(i,j,k) - F1o3 * lgyy * ltrA
|
||||
Ayz(i,j,k) = Ayz(i,j,k) - F1o3 * lgyz * ltrA
|
||||
Azz(i,j,k) = Azz(i,j,k) - F1o3 * lgzz * ltrA
|
||||
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
Axx = Axx - F1o3 * gxx * trA
|
||||
Axy = Axy - F1o3 * gxy * trA
|
||||
Axz = Axz - F1o3 * gxz * trA
|
||||
Ayy = Ayy - F1o3 * gyy * trA
|
||||
Ayz = Ayz - F1o3 * gyz * trA
|
||||
Azz = Azz - F1o3 * gzz * trA
|
||||
|
||||
return
|
||||
|
||||
|
||||
@@ -324,10 +324,10 @@ subroutine symmetry_bd(ord,extc,func,funcc,SoA)
|
||||
|
||||
integer::i
|
||||
|
||||
funcc = 0.d0
|
||||
funcc(1:extc(1),1:extc(2),1:extc(3)) = func
|
||||
do i=0,ord-1
|
||||
|
||||
funcc(-i,1:extc(2),1:extc(3)) = funcc(i+2,1:extc(2),1:extc(3))*SoA(1)
|
||||
funcc(-i,1:extc(2),1:extc(3)) = funcc(i+2,1:extc(2),1:extc(3))*SoA(1)
|
||||
enddo
|
||||
do i=0,ord-1
|
||||
funcc(:,-i,1:extc(3)) = funcc(:,i+2,1:extc(3))*SoA(2)
|
||||
@@ -350,6 +350,7 @@ subroutine symmetry_tbd(ord,extc,func,funcc,SoA)
|
||||
|
||||
integer::i
|
||||
|
||||
funcc = 0.d0
|
||||
funcc(1:extc(1),1:extc(2),1:extc(3)) = func
|
||||
do i=0,ord-1
|
||||
funcc(-i,1:extc(2),1:extc(3)) = funcc(i+2,1:extc(2),1:extc(3))*SoA(1)
|
||||
@@ -378,6 +379,7 @@ subroutine symmetry_stbd(ord,extc,func,funcc,SoA)
|
||||
|
||||
integer::i
|
||||
|
||||
funcc = 0.d0
|
||||
funcc(1:extc(1),1:extc(2),1:extc(3)) = func
|
||||
do i=0,ord-1
|
||||
funcc(-i,1:extc(2),1:extc(3)) = funcc(i+2,1:extc(2),1:extc(3))*SoA(1)
|
||||
@@ -884,6 +886,7 @@ subroutine symmetry_bd(ord,extc,func,funcc,SoA)
|
||||
|
||||
integer::i
|
||||
|
||||
funcc = 0.d0
|
||||
funcc(1:extc(1),1:extc(2),1:extc(3)) = func
|
||||
do i=0,ord-1
|
||||
funcc(-i,1:extc(2),1:extc(3)) = funcc(i+1,1:extc(2),1:extc(3))*SoA(1)
|
||||
@@ -909,6 +912,7 @@ subroutine symmetry_tbd(ord,extc,func,funcc,SoA)
|
||||
|
||||
integer::i
|
||||
|
||||
funcc = 0.d0
|
||||
funcc(1:extc(1),1:extc(2),1:extc(3)) = func
|
||||
do i=0,ord-1
|
||||
funcc(-i,1:extc(2),1:extc(3)) = funcc(i+1,1:extc(2),1:extc(3))*SoA(1)
|
||||
@@ -937,6 +941,7 @@ subroutine symmetry_stbd(ord,extc,func,funcc,SoA)
|
||||
|
||||
integer::i
|
||||
|
||||
funcc = 0.d0
|
||||
funcc(1:extc(1),1:extc(2),1:extc(3)) = func
|
||||
do i=0,ord-1
|
||||
funcc(-i,1:extc(2),1:extc(3)) = funcc(i+1,1:extc(2),1:extc(3))*SoA(1)
|
||||
@@ -1113,65 +1118,64 @@ end subroutine d2dump
|
||||
! Lagrangian polynomial interpolation
|
||||
!------------------------------------------------------------------------------
|
||||
|
||||
subroutine polint(xa, ya, x, y, dy, ordn)
|
||||
subroutine polint(xa,ya,x,y,dy,ordn)
|
||||
|
||||
implicit none
|
||||
|
||||
integer, intent(in) :: ordn
|
||||
real*8, dimension(ordn), intent(in) :: xa, ya
|
||||
!~~~~~~> Input Parameter:
|
||||
integer,intent(in) :: ordn
|
||||
real*8, dimension(ordn), intent(in) :: xa,ya
|
||||
real*8, intent(in) :: x
|
||||
real*8, intent(out) :: y, dy
|
||||
real*8, intent(out) :: y,dy
|
||||
|
||||
integer :: i, m, ns, n_m
|
||||
real*8, dimension(ordn) :: c, d, ho
|
||||
real*8 :: dif, dift, hp, h, den_val
|
||||
!~~~~~~> Other parameter:
|
||||
|
||||
c = ya
|
||||
d = ya
|
||||
ho = xa - x
|
||||
integer :: m,n,ns
|
||||
real*8, dimension(ordn) :: c,d,den,ho
|
||||
real*8 :: dif,dift
|
||||
|
||||
ns = 1
|
||||
dif = abs(x - xa(1))
|
||||
!~~~~~~>
|
||||
|
||||
do i = 2, ordn
|
||||
dift = abs(x - xa(i))
|
||||
if (dift < dif) then
|
||||
ns = i
|
||||
dif = dift
|
||||
end if
|
||||
n=ordn
|
||||
m=ordn
|
||||
|
||||
c=ya
|
||||
d=ya
|
||||
ho=xa-x
|
||||
|
||||
ns=1
|
||||
dif=abs(x-xa(1))
|
||||
do m=1,n
|
||||
dift=abs(x-xa(m))
|
||||
if(dift < dif) then
|
||||
ns=m
|
||||
dif=dift
|
||||
end if
|
||||
end do
|
||||
|
||||
y = ya(ns)
|
||||
ns = ns - 1
|
||||
|
||||
do m = 1, ordn - 1
|
||||
n_m = ordn - m
|
||||
do i = 1, n_m
|
||||
hp = ho(i)
|
||||
h = ho(i+m)
|
||||
den_val = hp - h
|
||||
|
||||
if (den_val == 0.0d0) then
|
||||
write(*,*) 'failure in polint for point',x
|
||||
write(*,*) 'with input points: ',xa
|
||||
stop
|
||||
end if
|
||||
|
||||
den_val = (c(i+1) - d(i)) / den_val
|
||||
|
||||
d(i) = h * den_val
|
||||
c(i) = hp * den_val
|
||||
end do
|
||||
|
||||
if (2 * ns < n_m) then
|
||||
dy = c(ns + 1)
|
||||
y=ya(ns)
|
||||
ns=ns-1
|
||||
do m=1,n-1
|
||||
den(1:n-m)=ho(1:n-m)-ho(1+m:n)
|
||||
if (any(den(1:n-m) == 0.0))then
|
||||
write(*,*) 'failure in polint for point',x
|
||||
write(*,*) 'with input points: ',xa
|
||||
stop
|
||||
endif
|
||||
den(1:n-m)=(c(2:n-m+1)-d(1:n-m))/den(1:n-m)
|
||||
d(1:n-m)=ho(1+m:n)*den(1:n-m)
|
||||
c(1:n-m)=ho(1:n-m)*den(1:n-m)
|
||||
if (2*ns < n-m) then
|
||||
dy=c(ns+1)
|
||||
else
|
||||
dy = d(ns)
|
||||
ns = ns - 1
|
||||
dy=d(ns)
|
||||
ns=ns-1
|
||||
end if
|
||||
y = y + dy
|
||||
y=y+dy
|
||||
end do
|
||||
|
||||
return
|
||||
|
||||
end subroutine polint
|
||||
!------------------------------------------------------------------------------
|
||||
!
|
||||
@@ -1179,37 +1183,35 @@ end subroutine d2dump
|
||||
!
|
||||
!------------------------------------------------------------------------------
|
||||
subroutine polin2(x1a,x2a,ya,x1,x2,y,dy,ordn)
|
||||
|
||||
implicit none
|
||||
|
||||
!~~~~~~> Input parameters:
|
||||
integer,intent(in) :: ordn
|
||||
real*8, dimension(1:ordn), intent(in) :: x1a,x2a
|
||||
real*8, dimension(1:ordn,1:ordn), intent(in) :: ya
|
||||
real*8, intent(in) :: x1,x2
|
||||
real*8, intent(out) :: y,dy
|
||||
|
||||
#ifdef POLINT_LEGACY_ORDER
|
||||
!~~~~~~> Other parameters:
|
||||
|
||||
integer :: i,m
|
||||
real*8, dimension(ordn) :: ymtmp
|
||||
real*8, dimension(ordn) :: yntmp
|
||||
|
||||
m=size(x1a)
|
||||
|
||||
do i=1,m
|
||||
|
||||
yntmp=ya(i,:)
|
||||
call polint(x2a,yntmp,x2,ymtmp(i),dy,ordn)
|
||||
end do
|
||||
call polint(x1a,ymtmp,x1,y,dy,ordn)
|
||||
#else
|
||||
integer :: j
|
||||
real*8, dimension(ordn) :: ymtmp
|
||||
real*8 :: dy_temp
|
||||
|
||||
do j=1,ordn
|
||||
call polint(x1a, ya(:,j), x1, ymtmp(j), dy_temp, ordn)
|
||||
end do
|
||||
call polint(x2a, ymtmp, x2, y, dy, ordn)
|
||||
#endif
|
||||
|
||||
call polint(x1a,ymtmp,x1,y,dy,ordn)
|
||||
|
||||
return
|
||||
|
||||
end subroutine polin2
|
||||
!------------------------------------------------------------------------------
|
||||
!
|
||||
@@ -1217,15 +1219,18 @@ end subroutine d2dump
|
||||
!
|
||||
!------------------------------------------------------------------------------
|
||||
subroutine polin3(x1a,x2a,x3a,ya,x1,x2,x3,y,dy,ordn)
|
||||
|
||||
implicit none
|
||||
|
||||
!~~~~~~> Input parameters:
|
||||
integer,intent(in) :: ordn
|
||||
real*8, dimension(1:ordn), intent(in) :: x1a,x2a,x3a
|
||||
real*8, dimension(1:ordn,1:ordn,1:ordn), intent(in) :: ya
|
||||
real*8, intent(in) :: x1,x2,x3
|
||||
real*8, intent(out) :: y,dy
|
||||
|
||||
#ifdef POLINT_LEGACY_ORDER
|
||||
!~~~~~~> Other parameters:
|
||||
|
||||
integer :: i,j,m,n
|
||||
real*8, dimension(ordn,ordn) :: yatmp
|
||||
real*8, dimension(ordn) :: ymtmp
|
||||
@@ -1234,33 +1239,24 @@ end subroutine d2dump
|
||||
|
||||
m=size(x1a)
|
||||
n=size(x2a)
|
||||
|
||||
do i=1,m
|
||||
do j=1,n
|
||||
|
||||
yqtmp=ya(i,j,:)
|
||||
call polint(x3a,yqtmp,x3,yatmp(i,j),dy,ordn)
|
||||
|
||||
end do
|
||||
|
||||
yntmp=yatmp(i,:)
|
||||
call polint(x2a,yntmp,x2,ymtmp(i),dy,ordn)
|
||||
end do
|
||||
call polint(x1a,ymtmp,x1,y,dy,ordn)
|
||||
#else
|
||||
integer :: j, k
|
||||
real*8, dimension(ordn,ordn) :: yatmp
|
||||
real*8, dimension(ordn) :: ymtmp
|
||||
real*8 :: dy_temp
|
||||
|
||||
do k=1,ordn
|
||||
do j=1,ordn
|
||||
call polint(x1a, ya(:,j,k), x1, yatmp(j,k), dy_temp, ordn)
|
||||
end do
|
||||
end do
|
||||
do k=1,ordn
|
||||
call polint(x2a, yatmp(:,k), x2, ymtmp(k), dy_temp, ordn)
|
||||
end do
|
||||
call polint(x3a, ymtmp, x3, y, dy, ordn)
|
||||
#endif
|
||||
|
||||
call polint(x1a,ymtmp,x1,y,dy,ordn)
|
||||
|
||||
return
|
||||
|
||||
end subroutine polin3
|
||||
!--------------------------------------------------------------------------------------
|
||||
! calculate L2norm
|
||||
|
||||
@@ -6,6 +6,101 @@
|
||||
! Vertex or Cell is distinguished in routine symmetry_bd which locates in
|
||||
! file "fmisc.f90"
|
||||
|
||||
#if (ghost_width == 2)
|
||||
! second order code
|
||||
|
||||
!------------------------------------------------------------------------------------------------------------------------------
|
||||
!usual type Kreiss-Oliger type numerical dissipation
|
||||
!We support cell center only
|
||||
! (D_+D_-)^2 =
|
||||
! f(i-2) - 4 f(i-1) + 6 f(i) - 4 f(i+1) + f(i+2)
|
||||
! ------------------------------------------------------
|
||||
! dx^4
|
||||
!------------------------------------------------------------------------------------------------------------------------------
|
||||
! do not add dissipation near boundary
|
||||
subroutine kodis(ex,X,Y,Z,f,f_rhs,SoA,Symmetry,eps)
|
||||
|
||||
implicit none
|
||||
! argument variables
|
||||
integer,intent(in) :: Symmetry
|
||||
integer,dimension(3),intent(in)::ex
|
||||
real*8, dimension(1:3), intent(in) :: SoA
|
||||
double precision,intent(in),dimension(ex(1))::X
|
||||
double precision,intent(in),dimension(ex(2))::Y
|
||||
double precision,intent(in),dimension(ex(3))::Z
|
||||
double precision,intent(in),dimension(ex(1),ex(2),ex(3))::f
|
||||
double precision,intent(inout),dimension(ex(1),ex(2),ex(3))::f_rhs
|
||||
real*8,intent(in) :: eps
|
||||
|
||||
!~~~~~~ other variables
|
||||
|
||||
real*8 :: dX,dY,dZ
|
||||
real*8,dimension(-1:ex(1),-1:ex(2),-1:ex(3)) :: fh
|
||||
integer :: imin,jmin,kmin,imax,jmax,kmax
|
||||
integer, parameter :: NO_SYMM = 0, EQ_SYMM = 1, OCTANT = 2
|
||||
real*8,parameter :: cof = 1.6d1 ! 2^4
|
||||
real*8, parameter :: F4=4.d0,F6=6.d0
|
||||
integer::i,j,k
|
||||
|
||||
dX = X(2)-X(1)
|
||||
dY = Y(2)-Y(1)
|
||||
dZ = Z(2)-Z(1)
|
||||
|
||||
imax = ex(1)
|
||||
jmax = ex(2)
|
||||
kmax = ex(3)
|
||||
|
||||
imin = 1
|
||||
jmin = 1
|
||||
kmin = 1
|
||||
|
||||
if(Symmetry > NO_SYMM .and. dabs(Z(1)) < dZ) kmin = -1
|
||||
if(Symmetry > EQ_SYMM .and. dabs(X(1)) < dX) imin = -1
|
||||
if(Symmetry > EQ_SYMM .and. dabs(Y(1)) < dY) jmin = -1
|
||||
|
||||
call symmetry_bd(2,ex,f,fh,SoA)
|
||||
|
||||
! f(i-2) - 4 f(i-1) + 6 f(i) - 4 f(i+1) + f(i+2)
|
||||
! ------------------------------------------------------
|
||||
! dx^4
|
||||
|
||||
! note the sign (-1)^r-1, now r=2
|
||||
do k=1,ex(3)
|
||||
do j=1,ex(2)
|
||||
do i=1,ex(1)
|
||||
|
||||
if(i-2 >= imin .and. i+2 <= imax .and. &
|
||||
j-2 >= jmin .and. j+2 <= jmax .and. &
|
||||
k-2 >= kmin .and. k+2 <= kmax) then
|
||||
! x direction
|
||||
f_rhs(i,j,k) = f_rhs(i,j,k) - eps/dX/cof * ( &
|
||||
(fh(i-2,j,k)+fh(i+2,j,k)) &
|
||||
- F4 * (fh(i-1,j,k)+fh(i+1,j,k)) &
|
||||
+ F6 * fh(i,j,k) )
|
||||
! y direction
|
||||
|
||||
f_rhs(i,j,k) = f_rhs(i,j,k) - eps/dY/cof * ( &
|
||||
(fh(i,j-2,k)+fh(i,j+2,k)) &
|
||||
- F4 * (fh(i,j-1,k)+fh(i,j+1,k)) &
|
||||
+ F6 * fh(i,j,k) )
|
||||
! z direction
|
||||
|
||||
f_rhs(i,j,k) = f_rhs(i,j,k) - eps/dZ/cof * ( &
|
||||
(fh(i,j,k-2)+fh(i,j,k+2)) &
|
||||
- F4 * (fh(i,j,k-1)+fh(i,j,k+1)) &
|
||||
+ F6 * fh(i,j,k) )
|
||||
|
||||
endif
|
||||
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
return
|
||||
|
||||
end subroutine kodis
|
||||
|
||||
#elif (ghost_width == 3)
|
||||
! fourth order code
|
||||
|
||||
!---------------------------------------------------------------------------------------------
|
||||
@@ -61,7 +156,7 @@ integer, parameter :: NO_SYMM=0, OCTANT=2
|
||||
if(Symmetry > NO_SYMM .and. dabs(Z(1)) < dZ) kmin = -2
|
||||
if(Symmetry == OCTANT .and. dabs(X(1)) < dX) imin = -2
|
||||
if(Symmetry == OCTANT .and. dabs(Y(1)) < dY) jmin = -2
|
||||
!print*,'imin,jmin,kmin=',imin,jmin,kmin
|
||||
|
||||
call symmetry_bd(3,ex,f,fh,SoA)
|
||||
|
||||
do k=1,ex(3)
|
||||
@@ -71,7 +166,28 @@ integer, parameter :: NO_SYMM=0, OCTANT=2
|
||||
if(i-3 >= imin .and. i+3 <= imax .and. &
|
||||
j-3 >= jmin .and. j+3 <= jmax .and. &
|
||||
k-3 >= kmin .and. k+3 <= kmax) then
|
||||
#if 0
|
||||
! x direction
|
||||
f_rhs(i,j,k) = f_rhs(i,j,k) + eps/dX/cof * ( &
|
||||
(fh(i-3,j,k)+fh(i+3,j,k)) - &
|
||||
SIX*(fh(i-2,j,k)+fh(i+2,j,k)) + &
|
||||
FIT*(fh(i-1,j,k)+fh(i+1,j,k)) - &
|
||||
TWT* fh(i,j,k) )
|
||||
! y direction
|
||||
|
||||
f_rhs(i,j,k) = f_rhs(i,j,k) + eps/dY/cof * ( &
|
||||
(fh(i,j-3,k)+fh(i,j+3,k)) - &
|
||||
SIX*(fh(i,j-2,k)+fh(i,j+2,k)) + &
|
||||
FIT*(fh(i,j-1,k)+fh(i,j+1,k)) - &
|
||||
TWT* fh(i,j,k) )
|
||||
! z direction
|
||||
|
||||
f_rhs(i,j,k) = f_rhs(i,j,k) + eps/dZ/cof * ( &
|
||||
(fh(i,j,k-3)+fh(i,j,k+3)) - &
|
||||
SIX*(fh(i,j,k-2)+fh(i,j,k+2)) + &
|
||||
FIT*(fh(i,j,k-1)+fh(i,j,k+1)) - &
|
||||
TWT* fh(i,j,k) )
|
||||
#else
|
||||
! calculation order if important ?
|
||||
f_rhs(i,j,k) = f_rhs(i,j,k) + eps/cof *( ( &
|
||||
(fh(i-3,j,k)+fh(i+3,j,k)) - &
|
||||
@@ -88,7 +204,7 @@ integer, parameter :: NO_SYMM=0, OCTANT=2
|
||||
SIX*(fh(i,j,k-2)+fh(i,j,k+2)) + &
|
||||
FIT*(fh(i,j,k-1)+fh(i,j,k+1)) - &
|
||||
TWT* fh(i,j,k) )/dZ )
|
||||
|
||||
#endif
|
||||
endif
|
||||
|
||||
enddo
|
||||
@@ -99,6 +215,218 @@ integer, parameter :: NO_SYMM=0, OCTANT=2
|
||||
|
||||
end subroutine kodis
|
||||
|
||||
#elif (ghost_width == 4)
|
||||
! sixth order code
|
||||
!------------------------------------------------------------------------------------------------------------------------------
|
||||
!usual type Kreiss-Oliger type numerical dissipation
|
||||
!We support cell center only
|
||||
! (D_+D_-)^4 =
|
||||
! f(i-4) - 8 f(i-3) + 28 f(i-2) - 56 f(i-1) + 70 f(i) - 56 f(i+1) + 28 f(i+2) - 8 f(i+3) + f(i+4)
|
||||
! ----------------------------------------------------------------------------------------------------------
|
||||
! dx^8
|
||||
!------------------------------------------------------------------------------------------------------------------------------
|
||||
! do not add dissipation near boundary
|
||||
subroutine kodis(ex,X,Y,Z,f,f_rhs,SoA,Symmetry,eps)
|
||||
|
||||
implicit none
|
||||
! argument variables
|
||||
integer,intent(in) :: Symmetry
|
||||
integer,dimension(3),intent(in)::ex
|
||||
real*8, dimension(1:3), intent(in) :: SoA
|
||||
double precision,intent(in),dimension(ex(1))::X
|
||||
double precision,intent(in),dimension(ex(2))::Y
|
||||
double precision,intent(in),dimension(ex(3))::Z
|
||||
double precision,intent(in),dimension(ex(1),ex(2),ex(3))::f
|
||||
double precision,intent(inout),dimension(ex(1),ex(2),ex(3))::f_rhs
|
||||
real*8,intent(in) :: eps
|
||||
|
||||
!~~~~~~ other variables
|
||||
|
||||
real*8 :: dX,dY,dZ
|
||||
real*8,dimension(-3:ex(1),-3:ex(2),-3:ex(3)) :: fh
|
||||
integer :: imin,jmin,kmin,imax,jmax,kmax
|
||||
integer, parameter :: NO_SYMM = 0, EQ_SYMM = 1, OCTANT = 2
|
||||
real*8,parameter :: cof = 2.56d2 ! 2^8
|
||||
real*8, parameter :: F8=8.d0,F28=2.8d1,F56=5.6d1,F70=7.d1
|
||||
integer::i,j,k
|
||||
|
||||
dX = X(2)-X(1)
|
||||
dY = Y(2)-Y(1)
|
||||
dZ = Z(2)-Z(1)
|
||||
|
||||
imax = ex(1)
|
||||
jmax = ex(2)
|
||||
kmax = ex(3)
|
||||
|
||||
imin = 1
|
||||
jmin = 1
|
||||
kmin = 1
|
||||
|
||||
if(Symmetry > NO_SYMM .and. dabs(Z(1)) < dZ) kmin = -3
|
||||
if(Symmetry > EQ_SYMM .and. dabs(X(1)) < dX) imin = -3
|
||||
if(Symmetry > EQ_SYMM .and. dabs(Y(1)) < dY) jmin = -3
|
||||
|
||||
call symmetry_bd(4,ex,f,fh,SoA)
|
||||
|
||||
! f(i-4) - 8 f(i-3) + 28 f(i-2) - 56 f(i-1) + 70 f(i) - 56 f(i+1) + 28 f(i+2) - 8 f(i+3) + f(i+4)
|
||||
! ----------------------------------------------------------------------------------------------------------
|
||||
! dx^8
|
||||
|
||||
! note the sign (-1)^r-1, now r=4
|
||||
do k=1,ex(3)
|
||||
do j=1,ex(2)
|
||||
do i=1,ex(1)
|
||||
|
||||
if(i>imin+3 .and. i < imax-3 .and. &
|
||||
j>jmin+3 .and. j < jmax-3 .and. &
|
||||
k>kmin+3 .and. k < kmax-3) then
|
||||
! x direction
|
||||
f_rhs(i,j,k) = f_rhs(i,j,k) - eps/dX/cof * ( &
|
||||
(fh(i-4,j,k)+fh(i+4,j,k)) &
|
||||
- F8 * (fh(i-3,j,k)+fh(i+3,j,k)) &
|
||||
+F28 * (fh(i-2,j,k)+fh(i+2,j,k)) &
|
||||
-F56 * (fh(i-1,j,k)+fh(i+1,j,k)) &
|
||||
+F70 * fh(i,j,k) )
|
||||
! y direction
|
||||
|
||||
f_rhs(i,j,k) = f_rhs(i,j,k) - eps/dY/cof * ( &
|
||||
(fh(i,j-4,k)+fh(i,j+4,k)) &
|
||||
- F8 * (fh(i,j-3,k)+fh(i,j+3,k)) &
|
||||
+F28 * (fh(i,j-2,k)+fh(i,j+2,k)) &
|
||||
-F56 * (fh(i,j-1,k)+fh(i,j+1,k)) &
|
||||
+F70 * fh(i,j,k) )
|
||||
! z direction
|
||||
|
||||
f_rhs(i,j,k) = f_rhs(i,j,k) - eps/dZ/cof * ( &
|
||||
(fh(i,j,k-4)+fh(i,j,k+4)) &
|
||||
- F8 * (fh(i,j,k-3)+fh(i,j,k+3)) &
|
||||
+F28 * (fh(i,j,k-2)+fh(i,j,k+2)) &
|
||||
-F56 * (fh(i,j,k-1)+fh(i,j,k+1)) &
|
||||
+F70 * fh(i,j,k) )
|
||||
|
||||
endif
|
||||
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
return
|
||||
|
||||
end subroutine kodis
|
||||
|
||||
#elif (ghost_width == 5)
|
||||
! eighth order code
|
||||
!------------------------------------------------------------------------------------------------------------------------------
|
||||
!usual type Kreiss-Oliger type numerical dissipation
|
||||
!We support cell center only
|
||||
! Note the notation D_+ and D_- [P240 of B. Gustafsson, H.-O. Kreiss, and J. Oliger, Time
|
||||
! Dependent Problems and Difference Methods (Wiley, New York, 1995).]
|
||||
! D_+ = (f(i+1) - f(i))/h
|
||||
! D_- = (f(i) - f(i-1))/h
|
||||
! then we have D_+D_- = D_-D_+ = (f(i+1) - 2f(i) + f(i-1))/h^2
|
||||
! for nth order accurate finite difference code, we need r =n/2+1
|
||||
! D_+^rD_-^r = (D_+D_-)^r
|
||||
! following the tradiation of PRD 77, 024027 (BB's calibration paper, Eq.(64),
|
||||
! correct some typo according to above book) :
|
||||
! + eps*(-1)^(r-1)*h^(2r-1)/2^(2r)*(D_+D_-)^r
|
||||
!
|
||||
!
|
||||
! this is for 8th order accurate finite difference scheme
|
||||
! (D_+D_-)^5 =
|
||||
! f(i-5) - 10 f(i-4) + 45 f(i-3) - 120 f(i-2) + 210 f(i-1) - 252 f(i) + 210 f(i+1) - 120 f(i+2) + 45 f(i+3) - 10 f(i+4) + f(i+5)
|
||||
! -------------------------------------------------------------------------------------------------------------------------------
|
||||
! dx^10
|
||||
!---------------------------------------------------------------------------------------------------------------------------------
|
||||
! do not add dissipation near boundary
|
||||
subroutine kodis(ex,X,Y,Z,f,f_rhs,SoA,Symmetry,eps)
|
||||
|
||||
implicit none
|
||||
! argument variables
|
||||
integer,intent(in) :: Symmetry
|
||||
integer,dimension(3),intent(in)::ex
|
||||
real*8, dimension(1:3), intent(in) :: SoA
|
||||
double precision,intent(in),dimension(ex(1))::X
|
||||
double precision,intent(in),dimension(ex(2))::Y
|
||||
double precision,intent(in),dimension(ex(3))::Z
|
||||
double precision,intent(in),dimension(ex(1),ex(2),ex(3))::f
|
||||
double precision,intent(inout),dimension(ex(1),ex(2),ex(3))::f_rhs
|
||||
real*8,intent(in) :: eps
|
||||
|
||||
!~~~~~~ other variables
|
||||
|
||||
real*8 :: dX,dY,dZ
|
||||
real*8,dimension(-4:ex(1),-4:ex(2),-4:ex(3)) :: fh
|
||||
integer :: imin,jmin,kmin,imax,jmax,kmax
|
||||
integer, parameter :: NO_SYMM = 0, EQ_SYMM = 1, OCTANT = 2
|
||||
real*8,parameter :: cof = 1.024d3 ! 2^2r = 2^10
|
||||
real*8, parameter :: F10=1.d1,F45=4.5d1,F120=1.2d2,F210=2.1d2,F252=2.52d2
|
||||
integer::i,j,k
|
||||
|
||||
dX = X(2)-X(1)
|
||||
dY = Y(2)-Y(1)
|
||||
dZ = Z(2)-Z(1)
|
||||
|
||||
imax = ex(1)
|
||||
jmax = ex(2)
|
||||
kmax = ex(3)
|
||||
|
||||
imin = 1
|
||||
jmin = 1
|
||||
kmin = 1
|
||||
|
||||
if(Symmetry > NO_SYMM .and. dabs(Z(1)) < dZ) kmin = -4
|
||||
if(Symmetry > EQ_SYMM .and. dabs(X(1)) < dX) imin = -4
|
||||
if(Symmetry > EQ_SYMM .and. dabs(Y(1)) < dY) jmin = -4
|
||||
|
||||
call symmetry_bd(5,ex,f,fh,SoA)
|
||||
|
||||
! f(i-5) - 10 f(i-4) + 45 f(i-3) - 120 f(i-2) + 210 f(i-1) - 252 f(i) + 210 f(i+1) - 120 f(i+2) + 45 f(i+3) - 10 f(i+4) + f(i+5)
|
||||
! -------------------------------------------------------------------------------------------------------------------------------
|
||||
! dx^10
|
||||
|
||||
! note the sign (-1)^r-1, now r=5
|
||||
do k=1,ex(3)
|
||||
do j=1,ex(2)
|
||||
do i=1,ex(1)
|
||||
|
||||
if(i>imin+4 .and. i < imax-4 .and. &
|
||||
j>jmin+4 .and. j < jmax-4 .and. &
|
||||
k>kmin+4 .and. k < kmax-4) then
|
||||
! x direction
|
||||
f_rhs(i,j,k) = f_rhs(i,j,k) + eps/dX/cof * ( &
|
||||
(fh(i-5,j,k)+fh(i+5,j,k)) &
|
||||
- F10 * (fh(i-4,j,k)+fh(i+4,j,k)) &
|
||||
+ F45 * (fh(i-3,j,k)+fh(i+3,j,k)) &
|
||||
- F120* (fh(i-2,j,k)+fh(i+2,j,k)) &
|
||||
+ F210* (fh(i-1,j,k)+fh(i+1,j,k)) &
|
||||
- F252 * fh(i,j,k) )
|
||||
! y direction
|
||||
|
||||
f_rhs(i,j,k) = f_rhs(i,j,k) + eps/dY/cof * ( &
|
||||
(fh(i,j-5,k)+fh(i,j+5,k)) &
|
||||
- F10 * (fh(i,j-4,k)+fh(i,j+4,k)) &
|
||||
+ F45 * (fh(i,j-3,k)+fh(i,j+3,k)) &
|
||||
- F120* (fh(i,j-2,k)+fh(i,j+2,k)) &
|
||||
+ F210* (fh(i,j-1,k)+fh(i,j+1,k)) &
|
||||
- F252 * fh(i,j,k) )
|
||||
! z direction
|
||||
|
||||
f_rhs(i,j,k) = f_rhs(i,j,k) + eps/dZ/cof * ( &
|
||||
(fh(i,j,k-5)+fh(i,j,k+5)) &
|
||||
- F10 * (fh(i,j,k-4)+fh(i,j,k+4)) &
|
||||
+ F45 * (fh(i,j,k-3)+fh(i,j,k+3)) &
|
||||
- F120* (fh(i,j,k-2)+fh(i,j,k+2)) &
|
||||
+ F210* (fh(i,j,k-1)+fh(i,j,k+1)) &
|
||||
- F252 * fh(i,j,k) )
|
||||
|
||||
endif
|
||||
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
return
|
||||
|
||||
end subroutine kodis
|
||||
|
||||
#endif
|
||||
|
||||
@@ -7,7 +7,163 @@
|
||||
! Vertex or Cell is distinguished in routine symmetry_bd which locates in
|
||||
! file "fmisc.f90"
|
||||
|
||||
#if (ghost_width == 2)
|
||||
! second order code
|
||||
|
||||
!-----------------------------------------------------------------------------
|
||||
! v
|
||||
! D f = ------[ - 3 f + 4 f - f ]
|
||||
! i 2dx i i+v i+2v
|
||||
!
|
||||
! where
|
||||
!
|
||||
! i
|
||||
! |B |
|
||||
! v = -----
|
||||
! i
|
||||
! B
|
||||
!
|
||||
!-----------------------------------------------------------------------------
|
||||
subroutine lopsided(ex,X,Y,Z,f,f_rhs,Sfx,Sfy,Sfz,Symmetry,SoA)
|
||||
implicit none
|
||||
|
||||
!~~~~~~> Input parameters:
|
||||
|
||||
integer, intent(in) :: ex(1:3),Symmetry
|
||||
real*8, intent(in) :: X(1:ex(1)),Y(1:ex(2)),Z(1:ex(3))
|
||||
real*8,dimension(ex(1),ex(2),ex(3)),intent(in) :: f,Sfx,Sfy,Sfz
|
||||
|
||||
real*8,dimension(ex(1),ex(2),ex(3)),intent(inout):: f_rhs
|
||||
real*8,dimension(3),intent(in) ::SoA
|
||||
|
||||
!~~~~~~> local variables:
|
||||
! note index -1,0, so we have 2 extra points
|
||||
real*8,dimension(-1:ex(1),-1:ex(2),-1:ex(3)) :: fh
|
||||
integer :: imin,jmin,kmin,imax,jmax,kmax,i,j,k
|
||||
real*8 :: dX,dY,dZ
|
||||
real*8 :: d2dx,d2dy,d2dz
|
||||
real*8, parameter :: ZEO=0.d0,ONE=1.d0,TWO=2.d0,THR=3.d0,FOUR=4.d0
|
||||
integer, parameter :: NO_SYMM = 0, EQ_SYMM = 1, OCTANT = 2
|
||||
|
||||
dX = X(2)-X(1)
|
||||
dY = Y(2)-Y(1)
|
||||
dZ = Z(2)-Z(1)
|
||||
|
||||
d2dx = ONE/TWO/dX
|
||||
d2dy = ONE/TWO/dY
|
||||
d2dz = ONE/TWO/dZ
|
||||
|
||||
imax = ex(1)
|
||||
jmax = ex(2)
|
||||
kmax = ex(3)
|
||||
|
||||
imin = 1
|
||||
jmin = 1
|
||||
kmin = 1
|
||||
if(Symmetry > NO_SYMM .and. dabs(Z(1)) < dZ) kmin = -1
|
||||
if(Symmetry > EQ_SYMM .and. dabs(X(1)) < dX) imin = -1
|
||||
if(Symmetry > EQ_SYMM .and. dabs(Y(1)) < dY) jmin = -1
|
||||
|
||||
call symmetry_bd(2,ex,f,fh,SoA)
|
||||
|
||||
! upper bound set ex-1 only for efficiency,
|
||||
! the loop body will set ex 0 also
|
||||
do k=1,ex(3)-1
|
||||
do j=1,ex(2)-1
|
||||
do i=1,ex(1)-1
|
||||
! x direction
|
||||
if(Sfx(i,j,k) >= ZEO)then
|
||||
if( i+2 <= imax .and. i >= imin)then
|
||||
! v
|
||||
! D f = ------[ - 3 f + 4 f - f ]
|
||||
! i 2dx i i+v i+2v
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfx(i,j,k)*d2dx*(-THR*fh(i,j,k)+FOUR*fh(i+1,j,k)-fh(i+2,j,k))
|
||||
elseif(i+1 <= imax .and. i >= imin)then
|
||||
! v
|
||||
! D f = ------[ - f + f ]
|
||||
! i dx i i+v
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfx(i,j,k)*d2dx*(-fh(i,j,k)+fh(i+1,j,k))
|
||||
|
||||
endif
|
||||
|
||||
elseif(Sfx(i,j,k) <= ZEO)then
|
||||
if( i-2 >= imin .and. i <= imax)then
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)- &
|
||||
Sfx(i,j,k)*d2dx*(-THR*fh(i,j,k)+FOUR*fh(i-1,j,k)-fh(i-2,j,k))
|
||||
elseif(i-1 >= imin .and. i <= imax)then
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)- &
|
||||
Sfx(i,j,k)*d2dx*(-fh(i,j,k)+fh(i-1,j,k))
|
||||
endif
|
||||
|
||||
! set imax and imin 0
|
||||
endif
|
||||
|
||||
! y direction
|
||||
if(Sfy(i,j,k) >= ZEO)then
|
||||
if( j+2 <= jmax .and. j >= jmin)then
|
||||
! v
|
||||
! D f = ------[ - 3 f + 4 f - f ]
|
||||
! i 2dx i i+v i+2v
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfy(i,j,k)*d2dy*(-THR*fh(i,j,k)+FOUR*fh(i,j+1,k)-fh(i,j+2,k))
|
||||
elseif(j+1 <= jmax .and. j >= jmin)then
|
||||
! v
|
||||
! D f = ------[ - f + f ]
|
||||
! i dx i i+v
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfy(i,j,k)*d2dy*(-fh(i,j,k)+fh(i,j+1,k))
|
||||
endif
|
||||
|
||||
elseif(Sfy(i,j,k) <= ZEO)then
|
||||
if( j-2 >= jmin .and. j <= jmax)then
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)- &
|
||||
Sfy(i,j,k)*d2dy*(-THR*fh(i,j,k)+FOUR*fh(i,j-1,k)-fh(i,j-2,k))
|
||||
elseif(j-1 >= jmin .and. j <= jmax)then
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)- &
|
||||
Sfy(i,j,k)*d2dy*(-fh(i,j,k)+fh(i,j-1,k))
|
||||
endif
|
||||
|
||||
! set jmin and jmax 0
|
||||
endif
|
||||
!! z direction
|
||||
if(Sfz(i,j,k) >= ZEO)then
|
||||
if( k+2 <= kmax .and. k >= kmin)then
|
||||
! v
|
||||
! D f = ------[ - 3 f + 4 f - f ]
|
||||
! i 2dx i i+v i+2v
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfz(i,j,k)*d2dz*(-THR*fh(i,j,k)+FOUR*fh(i,j,k+1)-fh(i,j,k+2))
|
||||
elseif(k+1 <= kmax .and. k >= kmin)then
|
||||
! v
|
||||
! D f = ------[ - f + f ]
|
||||
! i dx i i+v
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfz(i,j,k)*d2dz*(-fh(i,j,k)+fh(i,j,k+1))
|
||||
endif
|
||||
|
||||
elseif(Sfz(i,j,k) <= ZEO)then
|
||||
if( k-2 >= kmin .and. k <= kmax)then
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)- &
|
||||
Sfz(i,j,k)*d2dz*(-THR*fh(i,j,k)+FOUR*fh(i,j,k-1)-fh(i,j,k-2))
|
||||
elseif(k-1 >= kmin .and. k <= kmax)then
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)- &
|
||||
Sfz(i,j,k)*d2dz*(-fh(i,j,k)+fh(i,j,k-1))
|
||||
endif
|
||||
|
||||
! set kmin and kmax 0
|
||||
endif
|
||||
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
return
|
||||
|
||||
end subroutine lopsided
|
||||
|
||||
#elif (ghost_width == 3)
|
||||
! fourth order code
|
||||
|
||||
!-----------------------------------------------------------------------------
|
||||
@@ -80,7 +236,89 @@ subroutine lopsided(ex,X,Y,Z,f,f_rhs,Sfx,Sfy,Sfz,Symmetry,SoA)
|
||||
do k=1,ex(3)-1
|
||||
do j=1,ex(2)-1
|
||||
do i=1,ex(1)-1
|
||||
#if 0
|
||||
!! old code
|
||||
! x direction
|
||||
if(Sfx(i,j,k) >= ZEO .and. i+3 <= imax .and. i-1 >= imin)then
|
||||
! v
|
||||
! D f = ------[ - 3f - 10f + 18f - 6f + f ]
|
||||
! i 12dx i-v i i+v i+2v i+3v
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfx(i,j,k)*d12dx*(-F3*fh(i-1,j,k)-F10*fh(i,j,k)+F18*fh(i+1,j,k) &
|
||||
-F6*fh(i+2,j,k)+ fh(i+3,j,k))
|
||||
|
||||
elseif(Sfx(i,j,k) <= ZEO .and. i-3 >= imin .and. i+1 <= imax)then
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)- &
|
||||
Sfx(i,j,k)*d12dx*(-F3*fh(i+1,j,k)-F10*fh(i,j,k)+F18*fh(i-1,j,k) &
|
||||
-F6*fh(i-2,j,k)+ fh(i-3,j,k))
|
||||
|
||||
elseif(i+2 <= imax .and. i-2 >= imin)then
|
||||
!
|
||||
! f(i-2) - 8 f(i-1) + 8 f(i+1) - f(i+2)
|
||||
! fx(i) = ---------------------------------------------
|
||||
! 12 dx
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfx(i,j,k)*d12dx*(fh(i-2,j,k)-EIT*fh(i-1,j,k)+EIT*fh(i+1,j,k)-fh(i+2,j,k))
|
||||
|
||||
elseif(i+1 <= imax .and. i-1 >= imin)then
|
||||
!
|
||||
! - f(i-1) + f(i+1)
|
||||
! fx(i) = --------------------------------
|
||||
! 2 dx
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k) + Sfx(i,j,k)*d2dx*(-fh(i-1,j,k)+fh(i+1,j,k))
|
||||
|
||||
! set imax and imin 0
|
||||
endif
|
||||
|
||||
! y direction
|
||||
if(Sfy(i,j,k) >= ZEO .and. j+3 <= jmax .and. j-1 >= jmin)then
|
||||
! v
|
||||
! D f = ------[ - 3f - 10f + 18f - 6f + f ]
|
||||
! i 12dx i-v i i+v i+2v i+3v
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfy(i,j,k)*d12dy*(-F3*fh(i,j-1,k)-F10*fh(i,j,k)+F18*fh(i,j+1,k) &
|
||||
-F6*fh(i,j+2,k)+ fh(i,j+3,k))
|
||||
|
||||
elseif(Sfy(i,j,k) <= ZEO .and. j-3 >= jmin .and. j+1 <= jmax)then
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)- &
|
||||
Sfy(i,j,k)*d12dy*(-F3*fh(i,j+1,k)-F10*fh(i,j,k)+F18*fh(i,j-1,k) &
|
||||
-F6*fh(i,j-2,k)+ fh(i,j-3,k))
|
||||
|
||||
elseif(j+2 <= jmax .and. j-2 >= jmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfy(i,j,k)*d12dy*(fh(i,j-2,k)-EIT*fh(i,j-1,k)+EIT*fh(i,j+1,k)-fh(i,j+2,k))
|
||||
|
||||
elseif(j+1 <= jmax .and. j-1 >= jmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k) + Sfy(i,j,k)*d2dy*(-fh(i,j-1,k)+fh(i,j+1,k))
|
||||
! set jmin and jmax 0
|
||||
endif
|
||||
!! z direction
|
||||
if(Sfz(i,j,k) >= ZEO .and. k+3 <= kmax .and. k-1 >= kmin)then
|
||||
! v
|
||||
! D f = ------[ - 3f - 10f + 18f - 6f + f ]
|
||||
! i 12dx i-v i i+v i+2v i+3v
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfz(i,j,k)*d12dz*(-F3*fh(i,j,k-1)-F10*fh(i,j,k)+F18*fh(i,j,k+1) &
|
||||
-F6*fh(i,j,k+2)+ fh(i,j,k+3))
|
||||
|
||||
elseif(Sfz(i,j,k) <= ZEO .and. k-3 >= kmin .and. k+1 <= kmax)then
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)- &
|
||||
Sfz(i,j,k)*d12dz*(-F3*fh(i,j,k+1)-F10*fh(i,j,k)+F18*fh(i,j,k-1) &
|
||||
-F6*fh(i,j,k-2)+ fh(i,j,k-3))
|
||||
|
||||
elseif(k+2 <= kmax .and. k-2 >= kmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfz(i,j,k)*d12dz*(fh(i,j,k-2)-EIT*fh(i,j,k-1)+EIT*fh(i,j,k+1)-fh(i,j,k+2))
|
||||
|
||||
elseif(k+1 <= kmax .and. k-1 >= kmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+Sfz(i,j,k)*d2dz*(-fh(i,j,k-1)+fh(i,j,k+1))
|
||||
! set kmin and kmax 0
|
||||
endif
|
||||
#else
|
||||
!! new code, 2012dec27, based on bam
|
||||
! x direction
|
||||
if(Sfx(i,j,k) > ZEO)then
|
||||
@@ -240,6 +478,7 @@ subroutine lopsided(ex,X,Y,Z,f,f_rhs,Sfx,Sfy,Sfz,Symmetry,SoA)
|
||||
! set kmax and kmin 0
|
||||
endif
|
||||
endif
|
||||
#endif
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
@@ -247,3 +486,417 @@ subroutine lopsided(ex,X,Y,Z,f,f_rhs,Sfx,Sfy,Sfz,Symmetry,SoA)
|
||||
return
|
||||
|
||||
end subroutine lopsided
|
||||
|
||||
#elif (ghost_width == 4)
|
||||
! sixth order code
|
||||
! Compute advection terms in right hand sides of field equations
|
||||
! v
|
||||
! D f = ------[ 2f - 24f - 35f + 80f - 30f + 8f - f ]
|
||||
! i 60dx i-2v i-v i i+v i+2v i+3v i+4v
|
||||
!
|
||||
! where
|
||||
!
|
||||
! i
|
||||
! |B |
|
||||
! v = -----
|
||||
! i
|
||||
! B
|
||||
!
|
||||
!-----------------------------------------------------------------------------
|
||||
subroutine lopsided(ex,X,Y,Z,f,f_rhs,Sfx,Sfy,Sfz,Symmetry,SoA)
|
||||
implicit none
|
||||
|
||||
!~~~~~~> Input parameters:
|
||||
|
||||
integer, intent(in) :: ex(1:3),Symmetry
|
||||
real*8, intent(in) :: X(1:ex(1)),Y(1:ex(2)),Z(1:ex(3))
|
||||
real*8,dimension(ex(1),ex(2),ex(3)),intent(in) :: f,Sfx,Sfy,Sfz
|
||||
|
||||
real*8,dimension(ex(1),ex(2),ex(3)),intent(inout):: f_rhs
|
||||
real*8,dimension(3),intent(in) ::SoA
|
||||
|
||||
!~~~~~~> local variables:
|
||||
|
||||
real*8,dimension(-3:ex(1),-3:ex(2),-3:ex(3)) :: fh
|
||||
integer :: imin,jmin,kmin,imax,jmax,kmax,i,j,k
|
||||
real*8 :: dX,dY,dZ
|
||||
real*8 :: d60dx,d60dy,d60dz,d12dx,d12dy,d12dz,d2dx,d2dy,d2dz
|
||||
real*8, parameter :: ZEO=0.d0,ONE=1.d0, F60=6.d1
|
||||
real*8, parameter :: TWO=2.d0,F24=2.4d1,F35=3.5d1,F80=8.d1,F30=3.d1,EIT=8.d0
|
||||
real*8, parameter :: F9=9.d0,F45=4.5d1,F12=1.2d1
|
||||
real*8, parameter :: F10=1.d1,F77=7.7d1,F150=1.5d2,F100=1.d2,F50=5.d1,F15=1.5d1
|
||||
integer, parameter :: NO_SYMM = 0, EQ_SYMM = 1, OCTANT = 2
|
||||
|
||||
dX = X(2)-X(1)
|
||||
dY = Y(2)-Y(1)
|
||||
dZ = Z(2)-Z(1)
|
||||
|
||||
d60dx = ONE/F60/dX
|
||||
d60dy = ONE/F60/dY
|
||||
d60dz = ONE/F60/dZ
|
||||
|
||||
d12dx = ONE/F12/dX
|
||||
d12dy = ONE/F12/dY
|
||||
d12dz = ONE/F12/dZ
|
||||
|
||||
d2dx = ONE/TWO/dX
|
||||
d2dy = ONE/TWO/dY
|
||||
d2dz = ONE/TWO/dZ
|
||||
|
||||
imax = ex(1)
|
||||
jmax = ex(2)
|
||||
kmax = ex(3)
|
||||
|
||||
imin = 1
|
||||
jmin = 1
|
||||
kmin = 1
|
||||
if(Symmetry > NO_SYMM .and. dabs(Z(1)) < dZ) kmin = -3
|
||||
if(Symmetry > EQ_SYMM .and. dabs(X(1)) < dX) imin = -3
|
||||
if(Symmetry > EQ_SYMM .and. dabs(Y(1)) < dY) jmin = -3
|
||||
|
||||
call symmetry_bd(4,ex,f,fh,SoA)
|
||||
|
||||
! upper bound set ex-1 only for efficiency,
|
||||
! the loop body will set ex 0 also
|
||||
do k=1,ex(3)-1
|
||||
do j=1,ex(2)-1
|
||||
do i=1,ex(1)-1
|
||||
! x direction
|
||||
if(Sfx(i,j,k) >= ZEO .and. i+4 <= imax .and. i-2 >= imin)then
|
||||
! v
|
||||
! D f = ------[ 2f - 24f - 35f + 80f - 30f + 8f - f ]
|
||||
! i 60dx i-2v i-v i i+v i+2v i+3v i+4v
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfx(i,j,k)*d60dx*(TWO*fh(i-2,j,k)-F24*fh(i-1,j,k)-F35*fh(i,j,k)+F80*fh(i+1,j,k) &
|
||||
-F30*fh(i+2,j,k)+EIT*fh(i+3,j,k)- fh(i+4,j,k))
|
||||
elseif(Sfx(i,j,k) >= ZEO .and. i+5 <= imax .and. i-1 >= imin)then
|
||||
! v
|
||||
! D f = ------[-10f - 77f + 150f - 100f + 50f -15f + 2f ]
|
||||
! i 60dx i-v i i+v i+2v i+3v i+4v i+5v
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfx(i,j,k)*d60dx*(-F10*fh(i-1,j,k)-F77*fh(i ,j,k)+F150*fh(i+1,j,k)-F100*fh(i+2,j,k) &
|
||||
+F50*fh(i+3,j,k)-F15*fh(i+4,j,k)+ TWO*fh(i+5,j,k))
|
||||
|
||||
elseif(Sfx(i,j,k) <= ZEO .and. i-4 >= imin .and. i+2 <= imax)then
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)- &
|
||||
Sfx(i,j,k)*d60dx*(TWO*fh(i+2,j,k)-F24*fh(i+1,j,k)-F35*fh(i,j,k)+F80*fh(i-1,j,k) &
|
||||
-F30*fh(i-2,j,k)+EIT*fh(i-3,j,k)- fh(i-4,j,k))
|
||||
elseif(Sfx(i,j,k) <= ZEO .and. i-5 >= imin .and. i+1 <= imax)then
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)- &
|
||||
Sfx(i,j,k)*d60dx*(-F10*fh(i+1,j,k)-F77*fh(i ,j,k)+F150*fh(i-1,j,k)-F100*fh(i-2,j,k) &
|
||||
+F50*fh(i-3,j,k)-F15*fh(i-4,j,k)+ TWO*fh(i-5,j,k))
|
||||
|
||||
elseif(i+3 <= imax .and. i-3 >= imin)then
|
||||
! - f(i-3) + 9 f(i-2) - 45 f(i-1) + 45 f(i+1) - 9 f(i+2) + f(i+3)
|
||||
! fx(i) = -----------------------------------------------------------------
|
||||
! 60 dx
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfx(i,j,k)*d60dx*(-fh(i-3,j,k)+F9*fh(i-2,j,k)-F45*fh(i-1,j,k)+F45*fh(i+1,j,k)-F9*fh(i+2,j,k)+fh(i+3,j,k))
|
||||
|
||||
elseif(i+2 <= imax .and. i-2 >= imin)then
|
||||
!
|
||||
! f(i-2) - 8 f(i-1) + 8 f(i+1) - f(i+2)
|
||||
! fx(i) = ---------------------------------------------
|
||||
! 12 dx
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfx(i,j,k)*d12dx*(fh(i-2,j,k)-EIT*fh(i-1,j,k)+EIT*fh(i+1,j,k)-fh(i+2,j,k))
|
||||
|
||||
elseif(i+1 <= imax .and. i-1 >= imin)then
|
||||
!
|
||||
! - f(i-1) + f(i+1)
|
||||
! fx(i) = --------------------------------
|
||||
! 2 dx
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k) + Sfx(i,j,k)*d2dx*(-fh(i-1,j,k)+fh(i+1,j,k))
|
||||
|
||||
! set imax and imin 0
|
||||
endif
|
||||
|
||||
! y direction
|
||||
if(Sfy(i,j,k) >= ZEO .and. j+4 <= jmax .and. j-2 >= jmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfy(i,j,k)*d60dy*(TWO*fh(i,j-2,k)-F24*fh(i,j-1,k)-F35*fh(i,j,k)+F80*fh(i,j+1,k) &
|
||||
-F30*fh(i,j+2,k)+EIT*fh(i,j+3,k)- fh(i,j+4,k))
|
||||
elseif(Sfy(i,j,k) >= ZEO .and. j+5 <= jmax .and. j-1 >= jmin)then
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfy(i,j,k)*d60dy*(-F10*fh(i,j-1,k)-F77*fh(i,j ,k)+F150*fh(i,j+1,k)-F100*fh(i,j+2,k) &
|
||||
+F50*fh(i,j+3,k)-F15*fh(i,j+4,k)+ TWO*fh(i,j+5,k))
|
||||
|
||||
elseif(Sfy(i,j,k) <= ZEO .and. j-4 >= jmin .and. j+2 <= jmax)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)- &
|
||||
Sfy(i,j,k)*d60dy*(TWO*fh(i,j+2,k)-F24*fh(i,j+1,k)-F35*fh(i,j,k)+F80*fh(i,j-1,k) &
|
||||
-F30*fh(i,j-2,k)+EIT*fh(i,j-3,k)- fh(i,j-4,k))
|
||||
|
||||
elseif(Sfy(i,j,k) <= ZEO .and. j-5 >= jmin .and. j+1 <= jmax)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)- &
|
||||
Sfy(i,j,k)*d60dy*(-F10*fh(i,j+1,k)-F77*fh(i,j ,k)+F150*fh(i,j-1,k)-F100*fh(i,j-2,k) &
|
||||
+F50*fh(i,j-3,k)-F15*fh(i,j-4,k)+ TWO*fh(i,j-5,k))
|
||||
|
||||
elseif(j+3 <= jmax .and. j-3 >= jmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfy(i,j,k)*d60dy*(-fh(i,j-3,k)+F9*fh(i,j-2,k)-F45*fh(i,j-1,k)+F45*fh(i,j+1,k)-F9*fh(i,j+2,k)+fh(i,j+3,k))
|
||||
|
||||
elseif(j+2 <= jmax .and. j-2 >= jmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfy(i,j,k)*d12dy*(fh(i,j-2,k)-EIT*fh(i,j-1,k)+EIT*fh(i,j+1,k)-fh(i,j+2,k))
|
||||
|
||||
elseif(j+1 <= jmax .and. j-1 >= jmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k) + Sfy(i,j,k)*d2dy*(-fh(i,j-1,k)+fh(i,j+1,k))
|
||||
! set jmin and jmax 0
|
||||
endif
|
||||
!! z direction
|
||||
if(Sfz(i,j,k) >= ZEO .and. k+4 <= kmax .and. k-2 >= kmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfz(i,j,k)*d60dz*(TWO*fh(i,j,k-2)-F24*fh(i,j,k-1)-F35*fh(i,j,k)+F80*fh(i,j,k+1) &
|
||||
-F30*fh(i,j,k+2)+EIT*fh(i,j,k+3)- fh(i,j,k+4))
|
||||
elseif(Sfz(i,j,k) >= ZEO .and. k+5 <= kmax .and. k-1 >= kmin)then
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfz(i,j,k)*d60dz*(-F10*fh(i,j,k-1)-F77*fh(i,j,k )+F150*fh(i,j,k+1)-F100*fh(i,j,k+2) &
|
||||
+F50*fh(i,j,k+3)-F15*fh(i,j,k+4)+ TWO*fh(i,j,k+5))
|
||||
|
||||
elseif(Sfz(i,j,k) <= ZEO .and. k-4 >= kmin .and. k+2 <= kmax)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)- &
|
||||
Sfz(i,j,k)*d60dz*(TWO*fh(i,j,k+2)-F24*fh(i,j,k+1)-F35*fh(i,j,k)+F80*fh(i,j,k-1) &
|
||||
-F30*fh(i,j,k-2)+EIT*fh(i,j,k-3)- fh(i,j,k-4))
|
||||
|
||||
elseif(Sfz(i,j,k) <= ZEO .and. k-5 >= kmin .and. k+1 <= kmax)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)- &
|
||||
Sfz(i,j,k)*d60dz*(-F10*fh(i,j,k+1)-F77*fh(i,j,k )+F150*fh(i,j,k-1)-F100*fh(i,j,k-2) &
|
||||
+F50*fh(i,j,k-3)-F15*fh(i,j,k-4)+ TWO*fh(i,j,k-5))
|
||||
|
||||
elseif(k+3 <= kmax .and. k-3 >= kmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfz(i,j,k)*d60dz*(-fh(i,j,k-3)+F9*fh(i,j,k-2)-F45*fh(i,j,k-1)+F45*fh(i,j,k+1)-F9*fh(i,j,k+2)+fh(i,j,k+3))
|
||||
|
||||
elseif(k+2 <= kmax .and. k-2 >= kmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfz(i,j,k)*d12dz*(fh(i,j,k-2)-EIT*fh(i,j,k-1)+EIT*fh(i,j,k+1)-fh(i,j,k+2))
|
||||
|
||||
elseif(k+1 <= kmax .and. k-1 >= kmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+Sfz(i,j,k)*d2dz*(-fh(i,j,k-1)+fh(i,j,k+1))
|
||||
! set kmin and kmax 0
|
||||
endif
|
||||
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
return
|
||||
|
||||
end subroutine lopsided
|
||||
|
||||
#elif (ghost_width == 5)
|
||||
! eighth order code
|
||||
!-----------------------------------------------------------------------------
|
||||
! PRD 77, 024034 (2008)
|
||||
! Compute advection terms in right hand sides of field equations
|
||||
! v [ - 5 f(i-3v) + 60 f(i-2v) - 420 f(i-v) - 378 f(i) + 1050 f(i+v) - 420 f(i+2v) + 140 f(i+3v) - 30 f(i+4v) + 3 f(i+5v)]
|
||||
! D f = --------------------------------------------------------------------------------------------------------------------------
|
||||
! i 840 dx
|
||||
!
|
||||
! where
|
||||
!
|
||||
! i
|
||||
! |B |
|
||||
! v = -----
|
||||
! i
|
||||
! B
|
||||
!
|
||||
!-----------------------------------------------------------------------------
|
||||
subroutine lopsided(ex,X,Y,Z,f,f_rhs,Sfx,Sfy,Sfz,Symmetry,SoA)
|
||||
implicit none
|
||||
|
||||
!~~~~~~> Input parameters:
|
||||
|
||||
integer, intent(in) :: ex(1:3),Symmetry
|
||||
real*8, intent(in) :: X(1:ex(1)),Y(1:ex(2)),Z(1:ex(3))
|
||||
real*8,dimension(ex(1),ex(2),ex(3)),intent(in) :: f,Sfx,Sfy,Sfz
|
||||
|
||||
real*8,dimension(ex(1),ex(2),ex(3)),intent(inout):: f_rhs
|
||||
real*8,dimension(3),intent(in) ::SoA
|
||||
|
||||
!~~~~~~> local variables:
|
||||
|
||||
real*8,dimension(-4:ex(1),-4:ex(2),-4:ex(3)) :: fh
|
||||
integer :: imin,jmin,kmin,imax,jmax,kmax,i,j,k
|
||||
real*8 :: dX,dY,dZ
|
||||
real*8 :: d840dx,d840dy,d840dz,d60dx,d60dy,d60dz,d12dx,d12dy,d12dz,d2dx,d2dy,d2dz
|
||||
real*8, parameter :: ZEO=0.d0,ONE=1.d0, F60=6.d1
|
||||
real*8, parameter :: TWO=2.d0,F30=3.d1,EIT=8.d0
|
||||
real*8, parameter :: F9=9.d0,F45=4.5d1,F12=1.2d1,F140=1.4d2,THR=3.d0
|
||||
real*8, parameter :: F840=8.4d2,F5=5.d0,F420=4.2d2,F378=3.78d2,F1050=1.05d3
|
||||
real*8, parameter :: F32=3.2d1,F168=1.68d2,F672=6.72d2
|
||||
integer, parameter :: NO_SYMM = 0, EQ_SYMM = 1, OCTANT = 2
|
||||
|
||||
dX = X(2)-X(1)
|
||||
dY = Y(2)-Y(1)
|
||||
dZ = Z(2)-Z(1)
|
||||
|
||||
d840dx = ONE/F840/dX
|
||||
d840dy = ONE/F840/dY
|
||||
d840dz = ONE/F840/dZ
|
||||
|
||||
d60dx = ONE/F60/dX
|
||||
d60dy = ONE/F60/dY
|
||||
d60dz = ONE/F60/dZ
|
||||
|
||||
d12dx = ONE/F12/dX
|
||||
d12dy = ONE/F12/dY
|
||||
d12dz = ONE/F12/dZ
|
||||
|
||||
d2dx = ONE/TWO/dX
|
||||
d2dy = ONE/TWO/dY
|
||||
d2dz = ONE/TWO/dZ
|
||||
|
||||
imax = ex(1)
|
||||
jmax = ex(2)
|
||||
kmax = ex(3)
|
||||
|
||||
imin = 1
|
||||
jmin = 1
|
||||
kmin = 1
|
||||
if(Symmetry > NO_SYMM .and. dabs(Z(1)) < dZ) kmin = -4
|
||||
if(Symmetry > EQ_SYMM .and. dabs(X(1)) < dX) imin = -4
|
||||
if(Symmetry > EQ_SYMM .and. dabs(Y(1)) < dY) jmin = -4
|
||||
|
||||
call symmetry_bd(5,ex,f,fh,SoA)
|
||||
|
||||
! upper bound set ex-1 only for efficiency,
|
||||
! the loop body will set ex 0 also
|
||||
do k=1,ex(3)-1
|
||||
do j=1,ex(2)-1
|
||||
do i=1,ex(1)-1
|
||||
! x direction
|
||||
if(Sfx(i,j,k) >= ZEO .and. i+5 <= imax .and. i-3 >= imin)then
|
||||
! v [ - 5 f(i-3v) + 60 f(i-2v) - 420 f(i-v) - 378 f(i) + 1050 f(i+v) - 420 f(i+2v) + 140 f(i+3v) - 30 f(i+4v) + 3 f(i+5v)]
|
||||
! D f = --------------------------------------------------------------------------------------------------------------------------
|
||||
! i 840 dx
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfx(i,j,k)*d840dx*(-F5*fh(i-3,j,k)+F60 *fh(i-2,j,k)-F420*fh(i-1,j,k)-F378*fh(i ,j,k) &
|
||||
+F1050*fh(i+1,j,k)-F420*fh(i+2,j,k)+F140*fh(i+3,j,k)-F30 *fh(i+4,j,k)+THR*fh(i+5,j,k))
|
||||
|
||||
elseif(Sfx(i,j,k) <= ZEO .and. i-5 >= imin .and. i+3 <= imax)then
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)- &
|
||||
Sfx(i,j,k)*d840dx*(-F5*fh(i+3,j,k)+F60 *fh(i+2,j,k)-F420*fh(i+1,j,k)-F378*fh(i ,j,k) &
|
||||
+F1050*fh(i-1,j,k)-F420*fh(i-2,j,k)+F140*fh(i-3,j,k)- F30*fh(i-4,j,k)+THR*fh(i-5,j,k))
|
||||
|
||||
elseif(i+4 <= imax .and. i-4 >= imin)then
|
||||
! 3 f(i-4) - 32 f(i-3) + 168 f(i-2) - 672 f(i-1) + 672 f(i+1) - 168 f(i+2) + 32 f(i+3) - 3 f(i+4)
|
||||
! fx(i) = -------------------------------------------------------------------------------------------------
|
||||
! 840 dx
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfx(i,j,k)*d840dx*( THR*fh(i-4,j,k)-F32 *fh(i-3,j,k)+F168*fh(i-2,j,k)-F672*fh(i-1,j,k)+ &
|
||||
F672*fh(i+1,j,k)-F168*fh(i+2,j,k)+F32 *fh(i+3,j,k)-THR *fh(i+4,j,k))
|
||||
|
||||
elseif(i+3 <= imax .and. i-3 >= imin)then
|
||||
! - f(i-3) + 9 f(i-2) - 45 f(i-1) + 45 f(i+1) - 9 f(i+2) + f(i+3)
|
||||
! fx(i) = -----------------------------------------------------------------
|
||||
! 60 dx
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfx(i,j,k)*d60dx*(-fh(i-3,j,k)+F9*fh(i-2,j,k)-F45*fh(i-1,j,k)+F45*fh(i+1,j,k)-F9*fh(i+2,j,k)+fh(i+3,j,k))
|
||||
|
||||
elseif(i+2 <= imax .and. i-2 >= imin)then
|
||||
!
|
||||
! f(i-2) - 8 f(i-1) + 8 f(i+1) - f(i+2)
|
||||
! fx(i) = ---------------------------------------------
|
||||
! 12 dx
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfx(i,j,k)*d12dx*(fh(i-2,j,k)-EIT*fh(i-1,j,k)+EIT*fh(i+1,j,k)-fh(i+2,j,k))
|
||||
|
||||
elseif(i+1 <= imax .and. i-1 >= imin)then
|
||||
!
|
||||
! - f(i-1) + f(i+1)
|
||||
! fx(i) = --------------------------------
|
||||
! 2 dx
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k) + Sfx(i,j,k)*d2dx*(-fh(i-1,j,k)+fh(i+1,j,k))
|
||||
|
||||
! set imax and imin 0
|
||||
endif
|
||||
|
||||
! y direction
|
||||
if(Sfy(i,j,k) >= ZEO .and. j+5 <= jmax .and. j-3 >= jmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfy(i,j,k)*d840dy*(-F5*fh(i,j-3,k)+F60 *fh(i,j-2,k)-F420*fh(i,j-1,k)-F378*fh(i,j ,k) &
|
||||
+F1050*fh(i,j+1,k)-F420*fh(i,j+2,k)+F140*fh(i,j+3,k)-F30 *fh(i,j+4,k)+THR*fh(i,j+5,k))
|
||||
|
||||
elseif(Sfy(i,j,k) <= ZEO .and. j-5 >= jmin .and. j+3 <= jmax)then
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)- &
|
||||
Sfy(i,j,k)*d840dy*(-F5*fh(i,j+3,k)+F60 *fh(i,j+2,k)-F420*fh(i,j+1,k)-F378*fh(i,j ,k) &
|
||||
+F1050*fh(i,j-1,k)-F420*fh(i,j-2,k)+F140*fh(i,j-3,k)- F30*fh(i,j-4,k)+THR*fh(i,j-5,k))
|
||||
|
||||
elseif(j+4 <= jmax .and. j-4 >= jmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfy(i,j,k)*d840dy*( THR*fh(i,j-4,k)-F32 *fh(i,j-3,k)+F168*fh(i,j-2,k)-F672*fh(i,j-1,k)+ &
|
||||
F672*fh(i,j+1,k)-F168*fh(i,j+2,k)+F32 *fh(i,j+3,k)-THR *fh(i,j+4,k))
|
||||
|
||||
elseif(j+3 <= jmax .and. j-3 >= jmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfy(i,j,k)*d60dy*(-fh(i,j-3,k)+F9*fh(i,j-2,k)-F45*fh(i,j-1,k)+F45*fh(i,j+1,k)-F9*fh(i,j+2,k)+fh(i,j+3,k))
|
||||
|
||||
elseif(j+2 <= jmax .and. j-2 >= jmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfy(i,j,k)*d12dy*(fh(i,j-2,k)-EIT*fh(i,j-1,k)+EIT*fh(i,j+1,k)-fh(i,j+2,k))
|
||||
|
||||
elseif(j+1 <= jmax .and. j-1 >= jmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k) + Sfy(i,j,k)*d2dy*(-fh(i,j-1,k)+fh(i,j+1,k))
|
||||
! set jmin and jmax 0
|
||||
endif
|
||||
!! z direction
|
||||
if(Sfz(i,j,k) >= ZEO .and. k+5 <= kmax .and. k-3 >= kmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfz(i,j,k)*d840dz*(-F5*fh(i,j,k-3)+F60 *fh(i,j,k-2)-F420*fh(i,j,k-1)-F378*fh(i,j,k ) &
|
||||
+F1050*fh(i,j,k+1)-F420*fh(i,j,k+2)+F140*fh(i,j,k+3)-F30 *fh(i,j,k+4)+THR*fh(i,j,k+5))
|
||||
|
||||
elseif(Sfz(i,j,k) <= ZEO .and. k-5 >= kmin .and. k+3 <= kmax)then
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)- &
|
||||
Sfz(i,j,k)*d840dz*(-F5*fh(i,j,k+3)+F60 *fh(i,j,k+2)-F420*fh(i,j,k+1)-F378*fh(i,j,k ) &
|
||||
+F1050*fh(i,j,k-1)-F420*fh(i,j,k-2)+F140*fh(i,j,k-3)- F30*fh(i,j,k-4)+THR*fh(i,j,k-5))
|
||||
|
||||
elseif(k+4 <= kmax .and. k-4 >= kmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfz(i,j,k)*d840dz*( THR*fh(i,j,k-4)-F32 *fh(i,j,k-3)+F168*fh(i,j,k-2)-F672*fh(i,j,k-1)+ &
|
||||
F672*fh(i,j,k+1)-F168*fh(i,j,k+2)+F32 *fh(i,j,k+3)-THR *fh(i,j,k+4))
|
||||
|
||||
elseif(k+3 <= kmax .and. k-3 >= kmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfz(i,j,k)*d60dz*(-fh(i,j,k-3)+F9*fh(i,j,k-2)-F45*fh(i,j,k-1)+F45*fh(i,j,k+1)-F9*fh(i,j,k+2)+fh(i,j,k+3))
|
||||
|
||||
elseif(k+2 <= kmax .and. k-2 >= kmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+ &
|
||||
Sfz(i,j,k)*d12dz*(fh(i,j,k-2)-EIT*fh(i,j,k-1)+EIT*fh(i,j,k+1)-fh(i,j,k+2))
|
||||
|
||||
elseif(k+1 <= kmax .and. k-1 >= kmin)then
|
||||
|
||||
f_rhs(i,j,k)=f_rhs(i,j,k)+Sfz(i,j,k)*d2dz*(-fh(i,j,k-1)+fh(i,j,k+1))
|
||||
! set kmin and kmax 0
|
||||
endif
|
||||
|
||||
enddo
|
||||
enddo
|
||||
enddo
|
||||
|
||||
return
|
||||
|
||||
end subroutine lopsided
|
||||
|
||||
#endif
|
||||
|
||||
@@ -16,12 +16,6 @@ include makefile.inc
|
||||
.cu.o:
|
||||
$(Cu) $(CUDA_APP_FLAGS) -c $< -o $@ $(CUDA_LIB_PATH)
|
||||
|
||||
TwoPunctures.o: TwoPunctures.C
|
||||
${CXX} $(CXXAPPFLAGS) -qopenmp -c $< -o $@
|
||||
|
||||
TwoPunctureABE.o: TwoPunctureABE.C
|
||||
${CXX} $(CXXAPPFLAGS) -qopenmp -c $< -o $@
|
||||
|
||||
# Input files
|
||||
C++FILES = ABE.o Ansorg.o Block.o misc.o monitor.o Parallel.o MPatch.o var.o\
|
||||
cgh.o bssn_class.o surface_integral.o ShellPatch.o\
|
||||
@@ -102,7 +96,7 @@ ABEGPU: $(C++FILES_GPU) $(F90FILES) $(F77FILES) $(AHFDOBJS) $(CUDAFILES)
|
||||
$(CLINKER) $(CXXAPPFLAGS) -o $@ $(C++FILES_GPU) $(F90FILES) $(F77FILES) $(AHFDOBJS) $(CUDAFILES) $(LDLIBS)
|
||||
|
||||
TwoPunctureABE: $(TwoPunctureFILES)
|
||||
$(CLINKER) $(CXXAPPFLAGS) -qopenmp -o $@ $(TwoPunctureFILES) $(LDLIBS)
|
||||
$(CLINKER) $(CXXAPPFLAGS) -o $@ $(TwoPunctureFILES) $(LDLIBS)
|
||||
|
||||
clean:
|
||||
rm *.o ABE ABEGPU TwoPunctureABE make.log -f
|
||||
|
||||
@@ -15,10 +15,11 @@ LDLIBS = -L${MKLROOT}/lib -lmkl_intel_lp64 -lmkl_sequential -lmkl_core -lifcore
|
||||
## -xHost: Optimize for the host CPU architecture (Intel/AMD compatible)
|
||||
## -fp-model fast=2: Aggressive floating-point optimizations
|
||||
## -fma: Enable fused multiply-add instructions
|
||||
CXXAPPFLAGS = -O3 -xHost -fp-model fast=2 -fma -ipo \
|
||||
## Note: OpenMP has been disabled (-qopenmp removed) due to performance issues
|
||||
CXXAPPFLAGS = -O3 -xHost -fp-model fast=2 -fma \
|
||||
-Dfortran3 -Dnewc -I${MKLROOT}/include
|
||||
f90appflags = -O3 -xHost -fp-model fast=2 -fma -ipo \
|
||||
-align array64byte -fpp -I${MKLROOT}/include
|
||||
f90appflags = -O3 -xHost -fp-model fast=2 -fma \
|
||||
-fpp -I${MKLROOT}/include
|
||||
f90 = ifx
|
||||
f77 = ifx
|
||||
CXX = icpx
|
||||
|
||||
@@ -253,7 +253,19 @@ def generate_macrodef_h():
|
||||
# Define macro buffer_width
|
||||
# number of buffer points for mesh-refinement interfaces
|
||||
|
||||
print( "#define buffer_width 6", file=file1 )
|
||||
# Calculate ghost_width based on Finite_Diffenence_Method to optimize buffer_width
|
||||
if ( input_data.Finite_Diffenence_Method == "2nd-order" ):
|
||||
gw = 2
|
||||
elif ( input_data.Finite_Diffenence_Method == "4th-order" ):
|
||||
gw = 3
|
||||
elif ( input_data.Finite_Diffenence_Method == "6th-order" ):
|
||||
gw = 4
|
||||
elif ( input_data.Finite_Diffenence_Method == "8th-order" ):
|
||||
gw = 5
|
||||
else:
|
||||
gw = 5 # Default conservative value
|
||||
|
||||
print( f"#define buffer_width {gw + 1}", file=file1 )
|
||||
print( file=file1 )
|
||||
|
||||
# Define macro SC_width as buffer_width
|
||||
@@ -392,6 +404,17 @@ def generate_macrodef_fh():
|
||||
print( "# Finite_Difference_Method #define ghost_width setting error!!!", file=file1 )
|
||||
print( file=file1 )
|
||||
|
||||
# Define macro DEBUG_NAN_CHECK
|
||||
# 0: off (default), 1: on
|
||||
|
||||
debug_nan_check = getattr(input_data, "Debug_NaN_Check", 0)
|
||||
if debug_nan_check:
|
||||
print( "#define DEBUG_NAN_CHECK 1", file=file1 )
|
||||
print( file=file1 )
|
||||
else:
|
||||
print( "#define DEBUG_NAN_CHECK 0", file=file1 )
|
||||
print( file=file1 )
|
||||
|
||||
# Whether to use a shell-patch grid
|
||||
# use shell or not
|
||||
|
||||
@@ -514,6 +537,9 @@ def generate_macrodef_fh():
|
||||
print( " 6th order: 4", file=file1 )
|
||||
print( " 8th order: 5", file=file1 )
|
||||
print( file=file1 )
|
||||
print( "define DEBUG_NAN_CHECK", file=file1 )
|
||||
print( " 0: off (default), 1: on", file=file1 )
|
||||
print( file=file1 )
|
||||
print( "define WithShell", file=file1 )
|
||||
print( " use shell or not", file=file1 )
|
||||
print( file=file1 )
|
||||
|
||||
@@ -35,7 +35,8 @@ Equation_Class = "BSSN" ## Evolution Equation: choose
|
||||
## If "BSSN-EScalar" is chosen, it is necessary to set other parameters below
|
||||
Initial_Data_Method = "Ansorg-TwoPuncture" ## initial data method: choose "Ansorg-TwoPuncture", "Lousto-Analytical", "Cao-Analytical", "KerrSchild-Analytical"
|
||||
Time_Evolution_Method = "runge-kutta-45" ## time evolution method: choose "runge-kutta-45"
|
||||
Finite_Diffenence_Method = "4th-order" ## finite-difference method: choose "2nd-order", "4th-order", "6th-order", "8th-order"
|
||||
Finite_Diffenence_Method = "4th-order" ## finite-difference method: choose "2nd-order", "4th-order", "6th-order", "8th-order"
|
||||
Debug_NaN_Check = 0 ## enable NaN checks in compute_rhs_bssn: 0 (off) or 1 (on)
|
||||
|
||||
#################################################
|
||||
|
||||
|
||||
@@ -10,17 +10,18 @@
|
||||
|
||||
import AMSS_NCKU_Input as input_data
|
||||
import subprocess
|
||||
import time
|
||||
|
||||
## CPU core binding configuration using taskset
|
||||
## taskset ensures all child processes inherit the CPU affinity mask
|
||||
## This forces make and all compiler processes to use only nohz_full cores (4-55, 60-111)
|
||||
## Format: taskset -c 4-55,60-111 ensures processes only run on these cores
|
||||
NUMACTL_CPU_BIND = "taskset -c 0-111"
|
||||
#NUMACTL_CPU_BIND = "taskset -c 4-55,60-111"
|
||||
NUMACTL_CPU_BIND = ""
|
||||
|
||||
## Build parallelism configuration
|
||||
## Use nohz_full cores (4-55, 60-111) for compilation: 52 + 52 = 104 cores
|
||||
## Set make -j to utilize available cores for faster builds
|
||||
BUILD_JOBS = 104
|
||||
BUILD_JOBS = 14
|
||||
|
||||
|
||||
##################################################################
|
||||
@@ -152,7 +153,7 @@ def run_ABE():
|
||||
## Run the AMSS-NCKU TwoPuncture program TwoPunctureABE
|
||||
|
||||
def run_TwoPunctureABE():
|
||||
tp_time1=time.time()
|
||||
|
||||
print( )
|
||||
print( " Running the AMSS-NCKU executable file TwoPunctureABE " )
|
||||
print( )
|
||||
@@ -179,9 +180,7 @@ def run_TwoPunctureABE():
|
||||
print( )
|
||||
print( " The TwoPunctureABE simulation is finished " )
|
||||
print( )
|
||||
tp_time2=time.time()
|
||||
et=tp_time2-tp_time1
|
||||
print(f"Used time: {et}")
|
||||
|
||||
return
|
||||
|
||||
##################################################################
|
||||
|
||||
Reference in New Issue
Block a user