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Fix Z4C C++ gauge damping ordering

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ianchb
2026-04-26 15:38:13 +08:00
parent 7e67feddbf
commit a13b6901f6
1 changed files with 128 additions and 64 deletions
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192
AMSS_NCKU_source/z4c_rhs_c.C
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@@ -221,6 +221,58 @@ extern "C" void f_z4c_rhs_point(
double &rTheta, double &rTheta,
double &Theta); double &Theta);
static inline void z4c_contract_gamma(
const double gxx, const double gxy, const double gxz,
const double gyy, const double gyz, const double gzz,
const double gxxx, const double gxyx, const double gxzx,
const double gyyx, const double gyzx, const double gzzx,
const double gxxy, const double gxyy, const double gxzy,
const double gyyy, const double gyzy, const double gzzy,
const double gxxz, const double gxyz, const double gxzz,
const double gyyz, const double gyzz, const double gzzz,
double &Gamxa, double &Gamya, double &Gamza)
{
double det = gxx * gyy * gzz + gxy * gyz * gxz + gxz * gxy * gyz -
gxz * gyy * gxz - gxy * gxy * gzz - gxx * gyz * gyz;
const double gupxx = (gyy * gzz - gyz * gyz) / det;
const double gupxy = -(gxy * gzz - gyz * gxz) / det;
const double gupxz = (gxy * gyz - gyy * gxz) / det;
const double gupyy = (gxx * gzz - gxz * gxz) / det;
const double gupyz = -(gxx * gyz - gxy * gxz) / det;
const double gupzz = (gxx * gyy - gxy * gxy) / det;
const double Gamxxx = 0.5 * (gupxx * gxxx + gupxy * (2.0 * gxyx - gxxy) + gupxz * (2.0 * gxzx - gxxz));
const double Gamyxx = 0.5 * (gupxy * gxxx + gupyy * (2.0 * gxyx - gxxy) + gupyz * (2.0 * gxzx - gxxz));
const double Gamzxx = 0.5 * (gupxz * gxxx + gupyz * (2.0 * gxyx - gxxy) + gupzz * (2.0 * gxzx - gxxz));
const double Gamxyy = 0.5 * (gupxx * (2.0 * gxyy - gyyx) + gupxy * gyyy + gupxz * (2.0 * gyzy - gyyz));
const double Gamyyy = 0.5 * (gupxy * (2.0 * gxyy - gyyx) + gupyy * gyyy + gupyz * (2.0 * gyzy - gyyz));
const double Gamzyy = 0.5 * (gupxz * (2.0 * gxyy - gyyx) + gupyz * gyyy + gupzz * (2.0 * gyzy - gyyz));
const double Gamxzz = 0.5 * (gupxx * (2.0 * gxzz - gzzx) + gupxy * (2.0 * gyzz - gzzy) + gupxz * gzzz);
const double Gamyzz = 0.5 * (gupxy * (2.0 * gxzz - gzzx) + gupyy * (2.0 * gyzz - gzzy) + gupyz * gzzz);
const double Gamzzz = 0.5 * (gupxz * (2.0 * gxzz - gzzx) + gupyz * (2.0 * gyzz - gzzy) + gupzz * gzzz);
const double Gamxxy = 0.5 * (gupxx * gxxy + gupxy * gyyx + gupxz * (gxzy + gyzx - gxyz));
const double Gamyxy = 0.5 * (gupxy * gxxy + gupyy * gyyx + gupyz * (gxzy + gyzx - gxyz));
const double Gamzxy = 0.5 * (gupxz * gxxy + gupyz * gyyx + gupzz * (gxzy + gyzx - gxyz));
const double Gamxxz = 0.5 * (gupxx * gxxz + gupxy * (gxyz + gyzx - gxzy) + gupxz * gzzx);
const double Gamyxz = 0.5 * (gupxy * gxxz + gupyy * (gxyz + gyzx - gxzy) + gupyz * gzzx);
const double Gamzxz = 0.5 * (gupxz * gxxz + gupyz * (gxyz + gyzx - gxzy) + gupzz * gzzx);
const double Gamxyz = 0.5 * (gupxx * (gxyz + gxzy - gyzx) + gupxy * gyyz + gupxz * gzzy);
const double Gamyyz = 0.5 * (gupxy * (gxyz + gxzy - gyzx) + gupyy * gyyz + gupyz * gzzy);
const double Gamzyz = 0.5 * (gupxz * (gxyz + gxzy - gyzx) + gupyz * gyyz + gupzz * gzzy);
Gamxa = gupxx * Gamxxx + gupyy * Gamxyy + gupzz * Gamxzz +
2.0 * (gupxy * Gamxxy + gupxz * Gamxxz + gupyz * Gamxyz);
Gamya = gupxx * Gamyxx + gupyy * Gamyyy + gupzz * Gamyzz +
2.0 * (gupxy * Gamyxy + gupxz * Gamyxz + gupyz * Gamyyz);
Gamza = gupxx * Gamzxx + gupyy * Gamzyy + gupzz * Gamzzz +
2.0 * (gupxy * Gamzxy + gupxz * Gamzxz + gupyz * Gamzyz);
}
static int compute_rhs_z4c_cartesian( static int compute_rhs_z4c_cartesian(
int *ex, double &T, double *X, double *Y, double *Z, int *ex, double &T, double *X, double *Y, double *Z,
double *chi_state, double *chi_constraints, double *trK, double *chi_state, double *chi_constraints, double *trK,
@@ -348,6 +400,7 @@ static int compute_rhs_z4c_cartesian(
for (int idx = 0; idx < all; ++idx) for (int idx = 0; idx < all; ++idx)
{ {
double point_kappa1 = 0.0;
f_z4c_rhs_point( f_z4c_rhs_point(
Axx[idx], Axy[idx], Axz[idx], Ayy[idx], Ayz[idx], Azz[idx], Axx[idx], Axy[idx], Axz[idx], Ayy[idx], Ayz[idx], Azz[idx],
alpn1[idx], dtSfx[idx], dtSfy[idx], dtSfz[idx], alpn1[idx], dtSfx[idx], dtSfy[idx], dtSfz[idx],
@@ -391,7 +444,7 @@ static int compute_rhs_z4c_cartesian(
Gamx[idx], gxx[idx], gxy[idx], gxz[idx], Gamx[idx], gxx[idx], gxy[idx], gxz[idx],
Gamy[idx], gyy[idx], gyz[idx], Gamy[idx], gyy[idx], gyz[idx],
Gamz[idx], gzz[idx], Gamz[idx], gzz[idx],
kappa1, kappa2, point_kappa1, kappa2,
trK[idx], trK[idx],
Axx_rhs[idx], Axy_rhs[idx], Axz_rhs[idx], Ayy_rhs[idx], Ayz_rhs[idx], Azz_rhs[idx], Axx_rhs[idx], Axy_rhs[idx], Axz_rhs[idx], Ayy_rhs[idx], Ayz_rhs[idx], Azz_rhs[idx],
chi_rhs[idx], chi_rhs[idx],
@@ -427,73 +480,84 @@ static int compute_rhs_z4c_cartesian(
#error "z4c_rhs_c.C currently supports GAUGE == 0 or GAUGE == 1 for Z4C" #error "z4c_rhs_c.C currently supports GAUGE == 0 or GAUGE == 1 for Z4C"
#endif #endif
lopsided(ex, X, Y, Z, gxx, gxx_rhs, betax, betay, betaz, Symmetry, SSS);
lopsided(ex, X, Y, Z, gxy, gxy_rhs, betax, betay, betaz, Symmetry, AAS);
lopsided(ex, X, Y, Z, gxz, gxz_rhs, betax, betay, betaz, Symmetry, ASA);
lopsided(ex, X, Y, Z, gyy, gyy_rhs, betax, betay, betaz, Symmetry, SSS);
lopsided(ex, X, Y, Z, gyz, gyz_rhs, betax, betay, betaz, Symmetry, SAA);
lopsided(ex, X, Y, Z, gzz, gzz_rhs, betax, betay, betaz, Symmetry, SSS);
lopsided(ex, X, Y, Z, Axx, Axx_rhs, betax, betay, betaz, Symmetry, SSS);
lopsided(ex, X, Y, Z, Axy, Axy_rhs, betax, betay, betaz, Symmetry, AAS);
lopsided(ex, X, Y, Z, Axz, Axz_rhs, betax, betay, betaz, Symmetry, ASA);
lopsided(ex, X, Y, Z, Ayy, Ayy_rhs, betax, betay, betaz, Symmetry, SSS);
lopsided(ex, X, Y, Z, Ayz, Ayz_rhs, betax, betay, betaz, Symmetry, SAA);
lopsided(ex, X, Y, Z, Azz, Azz_rhs, betax, betay, betaz, Symmetry, SSS);
lopsided(ex, X, Y, Z, chi_state, chi_rhs, betax, betay, betaz, Symmetry, SSS);
lopsided(ex, X, Y, Z, trK, trK_rhs, betax, betay, betaz, Symmetry, SSS);
lopsided(ex, X, Y, Z, Gamx, Gamx_rhs, betax, betay, betaz, Symmetry, ASS);
lopsided(ex, X, Y, Z, Gamy, Gamy_rhs, betax, betay, betaz, Symmetry, SAS);
lopsided(ex, X, Y, Z, Gamz, Gamz_rhs, betax, betay, betaz, Symmetry, SSA);
lopsided(ex, X, Y, Z, Lap, Lap_rhs, betax, betay, betaz, Symmetry, SSS);
lopsided(ex, X, Y, Z, betax, betax_rhs, betax, betay, betaz, Symmetry, ASS);
lopsided(ex, X, Y, Z, betay, betay_rhs, betax, betay, betaz, Symmetry, SAS);
lopsided(ex, X, Y, Z, betaz, betaz_rhs, betax, betay, betaz, Symmetry, SSA);
#if (GAUGE == 0)
lopsided(ex, X, Y, Z, dtSfx, dtSfx_rhs, betax, betay, betaz, Symmetry, ASS);
lopsided(ex, X, Y, Z, dtSfy, dtSfy_rhs, betax, betay, betaz, Symmetry, SAS);
lopsided(ex, X, Y, Z, dtSfz, dtSfz_rhs, betax, betay, betaz, Symmetry, SSA);
#endif
lopsided(ex, X, Y, Z, TZ, TZ_rhs, betax, betay, betaz, Symmetry, SSS);
for (int idx = 0; idx < all; ++idx)
{
double Gamxa = 0.0, Gamya = 0.0, Gamza = 0.0;
z4c_contract_gamma(
gxx[idx], gxy[idx], gxz[idx], gyy[idx], gyz[idx], gzz[idx],
gxxx[idx], gxyx[idx], gxzx[idx], gyyx[idx], gyzx[idx], gzzx[idx],
gxxy[idx], gxyy[idx], gxzy[idx], gyyy[idx], gyzy[idx], gzzy[idx],
gxxz[idx], gxyz[idx], gxzz[idx], gyyz[idx], gyzz[idx], gzzz[idx],
Gamxa, Gamya, Gamza);
TZ_rhs[idx] -= alpn1[idx] * (TWO + kappa2) * kappa1 * TZ[idx];
trK_rhs[idx] += alpn1[idx] * kappa1 * (ONE - kappa2) * TZ[idx];
Gamx_rhs[idx] -= TWO * alpn1[idx] * kappa1 * (Gamx[idx] - Gamxa);
Gamy_rhs[idx] -= TWO * alpn1[idx] * kappa1 * (Gamy[idx] - Gamya);
Gamz_rhs[idx] -= TWO * alpn1[idx] * kappa1 * (Gamz[idx] - Gamza);
}
if (eps > 0.0) if (eps > 0.0)
{ {
lopsided_kodis(ex, X, Y, Z, gxx, gxx_rhs, betax, betay, betaz, Symmetry, SSS, eps); kodis(ex, X, Y, Z, chi_state, chi_rhs, SSS, Symmetry, eps);
lopsided_kodis(ex, X, Y, Z, gxy, gxy_rhs, betax, betay, betaz, Symmetry, AAS, eps); kodis(ex, X, Y, Z, trK, trK_rhs, SSS, Symmetry, eps);
lopsided_kodis(ex, X, Y, Z, gxz, gxz_rhs, betax, betay, betaz, Symmetry, ASA, eps); kodis(ex, X, Y, Z, gxx, gxx_rhs, SSS, Symmetry, eps);
lopsided_kodis(ex, X, Y, Z, gyy, gyy_rhs, betax, betay, betaz, Symmetry, SSS, eps); kodis(ex, X, Y, Z, gxy, gxy_rhs, AAS, Symmetry, eps);
lopsided_kodis(ex, X, Y, Z, gyz, gyz_rhs, betax, betay, betaz, Symmetry, SAA, eps); kodis(ex, X, Y, Z, gxz, gxz_rhs, ASA, Symmetry, eps);
lopsided_kodis(ex, X, Y, Z, gzz, gzz_rhs, betax, betay, betaz, Symmetry, SSS, eps); kodis(ex, X, Y, Z, gyy, gyy_rhs, SSS, Symmetry, eps);
kodis(ex, X, Y, Z, gyz, gyz_rhs, SAA, Symmetry, eps);
lopsided_kodis(ex, X, Y, Z, Axx, Axx_rhs, betax, betay, betaz, Symmetry, SSS, eps); kodis(ex, X, Y, Z, gzz, gzz_rhs, SSS, Symmetry, eps);
lopsided_kodis(ex, X, Y, Z, Axy, Axy_rhs, betax, betay, betaz, Symmetry, AAS, eps); kodis(ex, X, Y, Z, Axx, Axx_rhs, SSS, Symmetry, eps);
lopsided_kodis(ex, X, Y, Z, Axz, Axz_rhs, betax, betay, betaz, Symmetry, ASA, eps); kodis(ex, X, Y, Z, Axy, Axy_rhs, AAS, Symmetry, eps);
lopsided_kodis(ex, X, Y, Z, Ayy, Ayy_rhs, betax, betay, betaz, Symmetry, SSS, eps); kodis(ex, X, Y, Z, Axz, Axz_rhs, ASA, Symmetry, eps);
lopsided_kodis(ex, X, Y, Z, Ayz, Ayz_rhs, betax, betay, betaz, Symmetry, SAA, eps); kodis(ex, X, Y, Z, Ayy, Ayy_rhs, SSS, Symmetry, eps);
lopsided_kodis(ex, X, Y, Z, Azz, Azz_rhs, betax, betay, betaz, Symmetry, SSS, eps); kodis(ex, X, Y, Z, Ayz, Ayz_rhs, SAA, Symmetry, eps);
kodis(ex, X, Y, Z, Azz, Azz_rhs, SSS, Symmetry, eps);
lopsided_kodis(ex, X, Y, Z, chi_state, chi_rhs, betax, betay, betaz, Symmetry, SSS, eps); kodis(ex, X, Y, Z, Gamx, Gamx_rhs, ASS, Symmetry, eps);
lopsided_kodis(ex, X, Y, Z, trK, trK_rhs, betax, betay, betaz, Symmetry, SSS, eps); kodis(ex, X, Y, Z, Gamy, Gamy_rhs, SAS, Symmetry, eps);
kodis(ex, X, Y, Z, Gamz, Gamz_rhs, SSA, Symmetry, eps);
lopsided_kodis(ex, X, Y, Z, Gamx, Gamx_rhs, betax, betay, betaz, Symmetry, ASS, eps); kodis(ex, X, Y, Z, Lap, Lap_rhs, SSS, Symmetry, eps);
lopsided_kodis(ex, X, Y, Z, Gamy, Gamy_rhs, betax, betay, betaz, Symmetry, SAS, eps); kodis(ex, X, Y, Z, betax, betax_rhs, ASS, Symmetry, eps);
lopsided_kodis(ex, X, Y, Z, Gamz, Gamz_rhs, betax, betay, betaz, Symmetry, SSA, eps); kodis(ex, X, Y, Z, betay, betay_rhs, SAS, Symmetry, eps);
kodis(ex, X, Y, Z, betaz, betaz_rhs, SSA, Symmetry, eps);
lopsided_kodis(ex, X, Y, Z, Lap, Lap_rhs, betax, betay, betaz, Symmetry, SSS, eps);
lopsided_kodis(ex, X, Y, Z, betax, betax_rhs, betax, betay, betaz, Symmetry, ASS, eps);
lopsided_kodis(ex, X, Y, Z, betay, betay_rhs, betax, betay, betaz, Symmetry, SAS, eps);
lopsided_kodis(ex, X, Y, Z, betaz, betaz_rhs, betax, betay, betaz, Symmetry, SSA, eps);
#if (GAUGE == 0) #if (GAUGE == 0)
lopsided_kodis(ex, X, Y, Z, dtSfx, dtSfx_rhs, betax, betay, betaz, Symmetry, ASS, eps); kodis(ex, X, Y, Z, dtSfx, dtSfx_rhs, ASS, Symmetry, eps);
lopsided_kodis(ex, X, Y, Z, dtSfy, dtSfy_rhs, betax, betay, betaz, Symmetry, SAS, eps); kodis(ex, X, Y, Z, dtSfy, dtSfy_rhs, SAS, Symmetry, eps);
lopsided_kodis(ex, X, Y, Z, dtSfz, dtSfz_rhs, betax, betay, betaz, Symmetry, SSA, eps); kodis(ex, X, Y, Z, dtSfz, dtSfz_rhs, SSA, Symmetry, eps);
#endif #endif
lopsided_kodis(ex, X, Y, Z, TZ, TZ_rhs, betax, betay, betaz, Symmetry, SSS, eps); kodis(ex, X, Y, Z, TZ, TZ_rhs, SSS, Symmetry, eps);
}
else
{
lopsided(ex, X, Y, Z, gxx, gxx_rhs, betax, betay, betaz, Symmetry, SSS);
lopsided(ex, X, Y, Z, gxy, gxy_rhs, betax, betay, betaz, Symmetry, AAS);
lopsided(ex, X, Y, Z, gxz, gxz_rhs, betax, betay, betaz, Symmetry, ASA);
lopsided(ex, X, Y, Z, gyy, gyy_rhs, betax, betay, betaz, Symmetry, SSS);
lopsided(ex, X, Y, Z, gyz, gyz_rhs, betax, betay, betaz, Symmetry, SAA);
lopsided(ex, X, Y, Z, gzz, gzz_rhs, betax, betay, betaz, Symmetry, SSS);
lopsided(ex, X, Y, Z, Axx, Axx_rhs, betax, betay, betaz, Symmetry, SSS);
lopsided(ex, X, Y, Z, Axy, Axy_rhs, betax, betay, betaz, Symmetry, AAS);
lopsided(ex, X, Y, Z, Axz, Axz_rhs, betax, betay, betaz, Symmetry, ASA);
lopsided(ex, X, Y, Z, Ayy, Ayy_rhs, betax, betay, betaz, Symmetry, SSS);
lopsided(ex, X, Y, Z, Ayz, Ayz_rhs, betax, betay, betaz, Symmetry, SAA);
lopsided(ex, X, Y, Z, Azz, Azz_rhs, betax, betay, betaz, Symmetry, SSS);
lopsided(ex, X, Y, Z, chi_state, chi_rhs, betax, betay, betaz, Symmetry, SSS);
lopsided(ex, X, Y, Z, trK, trK_rhs, betax, betay, betaz, Symmetry, SSS);
lopsided(ex, X, Y, Z, Gamx, Gamx_rhs, betax, betay, betaz, Symmetry, ASS);
lopsided(ex, X, Y, Z, Gamy, Gamy_rhs, betax, betay, betaz, Symmetry, SAS);
lopsided(ex, X, Y, Z, Gamz, Gamz_rhs, betax, betay, betaz, Symmetry, SSA);
lopsided(ex, X, Y, Z, Lap, Lap_rhs, betax, betay, betaz, Symmetry, SSS);
lopsided(ex, X, Y, Z, betax, betax_rhs, betax, betay, betaz, Symmetry, ASS);
lopsided(ex, X, Y, Z, betay, betay_rhs, betax, betay, betaz, Symmetry, SAS);
lopsided(ex, X, Y, Z, betaz, betaz_rhs, betax, betay, betaz, Symmetry, SSA);
#if (GAUGE == 0)
lopsided(ex, X, Y, Z, dtSfx, dtSfx_rhs, betax, betay, betaz, Symmetry, ASS);
lopsided(ex, X, Y, Z, dtSfy, dtSfy_rhs, betax, betay, betaz, Symmetry, SAS);
lopsided(ex, X, Y, Z, dtSfz, dtSfz_rhs, betax, betay, betaz, Symmetry, SSA);
#endif
lopsided(ex, X, Y, Z, TZ, TZ_rhs, betax, betay, betaz, Symmetry, SSS);
} }
if (co == 0) if (co == 0)