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authorErik Schnetter <schnetter@cct.lsu.edu>2010-03-18 20:28:16 -0700
committerErik Schnetter <schnetter@cct.lsu.edu>2010-03-18 20:28:16 -0700
commitcb546d85228985472ddc13d1633d4f0eb689f872 (patch)
tree33db751f5f14ea2c3b7bfb8248762d73fa4db0c4 /ML_ADMConstraints
parent33479637cddfa24c0150cb691ee0bc1695f42866 (diff)
Use Ian's version of Kranc, which is found at
<git@github.com:ianhinder/Kranc.git>.
Diffstat (limited to 'ML_ADMConstraints')
-rw-r--r--ML_ADMConstraints/src/ML_ADMConstraints.c470
1 files changed, 225 insertions, 245 deletions
diff --git a/ML_ADMConstraints/src/ML_ADMConstraints.c b/ML_ADMConstraints/src/ML_ADMConstraints.c
index 6f97f28..ac8fd0a 100644
--- a/ML_ADMConstraints/src/ML_ADMConstraints.c
+++ b/ML_ADMConstraints/src/ML_ADMConstraints.c
@@ -28,20 +28,6 @@ void ML_ADMConstraints_Body(cGH const * restrict const cctkGH, int const dir, in
/* Declare finite differencing variables */
- /* Declare predefined quantities */
- // CCTK_REAL p1o12dx = INITVALUE;
- // CCTK_REAL p1o12dy = INITVALUE;
- // CCTK_REAL p1o12dz = INITVALUE;
- // CCTK_REAL p1o144dxdy = INITVALUE;
- // CCTK_REAL p1o144dxdz = INITVALUE;
- // CCTK_REAL p1o144dydz = INITVALUE;
- // CCTK_REAL p1odx = INITVALUE;
- // CCTK_REAL p1ody = INITVALUE;
- // CCTK_REAL p1odz = INITVALUE;
- // CCTK_REAL pm1o12dx2 = INITVALUE;
- // CCTK_REAL pm1o12dy2 = INITVALUE;
- // CCTK_REAL pm1o12dz2 = INITVALUE;
-
if (verbose > 1)
{
CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_ADMConstraints_Body");
@@ -94,55 +80,7 @@ void ML_ADMConstraints_Body(cGH const * restrict const cctkGH, int const dir, in
cctk_lsh[0],cctk_lsh[1],cctk_lsh[2])
{
// int index = INITVALUE;
- // int subblock_index = INITVALUE;
int const index = CCTK_GFINDEX3D(cctkGH,i,j,k);
- int const subblock_index = i - min[0] + (max[0] - min[0]) * (j - min[1] + (max[1]-min[1]) * (k - min[2]));
-
- /* Declare shorthands */
- // CCTK_REAL detg = INITVALUE;
- // CCTK_REAL G111 = INITVALUE, G112 = INITVALUE, G113 = INITVALUE, G122 = INITVALUE, G123 = INITVALUE, G133 = INITVALUE;
- // CCTK_REAL G211 = INITVALUE, G212 = INITVALUE, G213 = INITVALUE, G222 = INITVALUE, G223 = INITVALUE, G233 = INITVALUE;
- // CCTK_REAL G311 = INITVALUE, G312 = INITVALUE, G313 = INITVALUE, G322 = INITVALUE, G323 = INITVALUE, G333 = INITVALUE;
- // CCTK_REAL gu11 = INITVALUE, gu21 = INITVALUE, gu22 = INITVALUE, gu31 = INITVALUE, gu32 = INITVALUE, gu33 = INITVALUE;
- // CCTK_REAL Km11 = INITVALUE, Km12 = INITVALUE, Km13 = INITVALUE, Km21 = INITVALUE, Km22 = INITVALUE, Km23 = INITVALUE;
- // CCTK_REAL Km31 = INITVALUE, Km32 = INITVALUE, Km33 = INITVALUE;
- // CCTK_REAL R11 = INITVALUE, R12 = INITVALUE, R13 = INITVALUE, R22 = INITVALUE, R23 = INITVALUE, R33 = INITVALUE;
- // CCTK_REAL rho = INITVALUE;
- // CCTK_REAL S1 = INITVALUE, S2 = INITVALUE, S3 = INITVALUE;
- // CCTK_REAL trK = INITVALUE;
- // CCTK_REAL trR = INITVALUE;
-
- /* Declare local copies of grid functions */
- // CCTK_REAL alpL = INITVALUE;
- // CCTK_REAL betaxL = INITVALUE;
- // CCTK_REAL betayL = INITVALUE;
- // CCTK_REAL betazL = INITVALUE;
- // CCTK_REAL eTttL = INITVALUE;
- // CCTK_REAL eTtxL = INITVALUE;
- // CCTK_REAL eTtyL = INITVALUE;
- // CCTK_REAL eTtzL = INITVALUE;
- // CCTK_REAL eTxxL = INITVALUE;
- // CCTK_REAL eTxyL = INITVALUE;
- // CCTK_REAL eTxzL = INITVALUE;
- // CCTK_REAL eTyyL = INITVALUE;
- // CCTK_REAL eTyzL = INITVALUE;
- // CCTK_REAL eTzzL = INITVALUE;
- // CCTK_REAL gxxL = INITVALUE;
- // CCTK_REAL gxyL = INITVALUE;
- // CCTK_REAL gxzL = INITVALUE;
- // CCTK_REAL gyyL = INITVALUE;
- // CCTK_REAL gyzL = INITVALUE;
- // CCTK_REAL gzzL = INITVALUE;
- // CCTK_REAL HL = INITVALUE;
- // CCTK_REAL kxxL = INITVALUE;
- // CCTK_REAL kxyL = INITVALUE;
- // CCTK_REAL kxzL = INITVALUE;
- // CCTK_REAL kyyL = INITVALUE;
- // CCTK_REAL kyzL = INITVALUE;
- // CCTK_REAL kzzL = INITVALUE;
- // CCTK_REAL M1L = INITVALUE, M2L = INITVALUE, M3L = INITVALUE;
- /* Declare precomputed derivatives*/
-
/* Declare derivatives */
// CCTK_REAL PDstandardNth1gxx = INITVALUE;
// CCTK_REAL PDstandardNth2gxx = INITVALUE;
@@ -200,38 +138,36 @@ void ML_ADMConstraints_Body(cGH const * restrict const cctkGH, int const dir, in
// CCTK_REAL PDstandardNth2kzz = INITVALUE;
/* Assign local copies of grid functions */
- CCTK_REAL const alpL = alp[index];
- CCTK_REAL const betaxL = betax[index];
- CCTK_REAL const betayL = betay[index];
- CCTK_REAL const betazL = betaz[index];
- CCTK_REAL const eTttL = (*stress_energy_state) ? (eTtt[index]) : 0.0;
- CCTK_REAL const eTtxL = (*stress_energy_state) ? (eTtx[index]) : 0.0;
- CCTK_REAL const eTtyL = (*stress_energy_state) ? (eTty[index]) : 0.0;
- CCTK_REAL const eTtzL = (*stress_energy_state) ? (eTtz[index]) : 0.0;
- CCTK_REAL const eTxxL = (*stress_energy_state) ? (eTxx[index]) : 0.0;
- CCTK_REAL const eTxyL = (*stress_energy_state) ? (eTxy[index]) : 0.0;
- CCTK_REAL const eTxzL = (*stress_energy_state) ? (eTxz[index]) : 0.0;
- CCTK_REAL const eTyyL = (*stress_energy_state) ? (eTyy[index]) : 0.0;
- CCTK_REAL const eTyzL = (*stress_energy_state) ? (eTyz[index]) : 0.0;
- CCTK_REAL const eTzzL = (*stress_energy_state) ? (eTzz[index]) : 0.0;
- CCTK_REAL const gxxL = gxx[index];
- CCTK_REAL const gxyL = gxy[index];
- CCTK_REAL const gxzL = gxz[index];
- CCTK_REAL const gyyL = gyy[index];
- CCTK_REAL const gyzL = gyz[index];
- CCTK_REAL const gzzL = gzz[index];
- CCTK_REAL const kxxL = kxx[index];
- CCTK_REAL const kxyL = kxy[index];
- CCTK_REAL const kxzL = kxz[index];
- CCTK_REAL const kyyL = kyy[index];
- CCTK_REAL const kyzL = kyz[index];
- CCTK_REAL const kzzL = kzz[index];
-
- /* Assign local copies of subblock grid functions */
+ CCTK_REAL alpL = alp[index];
+ CCTK_REAL betaxL = betax[index];
+ CCTK_REAL betayL = betay[index];
+ CCTK_REAL betazL = betaz[index];
+ CCTK_REAL eTttL = (*stress_energy_state) ? (eTtt[index]) : 0.0;
+ CCTK_REAL eTtxL = (*stress_energy_state) ? (eTtx[index]) : 0.0;
+ CCTK_REAL eTtyL = (*stress_energy_state) ? (eTty[index]) : 0.0;
+ CCTK_REAL eTtzL = (*stress_energy_state) ? (eTtz[index]) : 0.0;
+ CCTK_REAL eTxxL = (*stress_energy_state) ? (eTxx[index]) : 0.0;
+ CCTK_REAL eTxyL = (*stress_energy_state) ? (eTxy[index]) : 0.0;
+ CCTK_REAL eTxzL = (*stress_energy_state) ? (eTxz[index]) : 0.0;
+ CCTK_REAL eTyyL = (*stress_energy_state) ? (eTyy[index]) : 0.0;
+ CCTK_REAL eTyzL = (*stress_energy_state) ? (eTyz[index]) : 0.0;
+ CCTK_REAL eTzzL = (*stress_energy_state) ? (eTzz[index]) : 0.0;
+ CCTK_REAL gxxL = gxx[index];
+ CCTK_REAL gxyL = gxy[index];
+ CCTK_REAL gxzL = gxz[index];
+ CCTK_REAL gyyL = gyy[index];
+ CCTK_REAL gyzL = gyz[index];
+ CCTK_REAL gzzL = gzz[index];
+ CCTK_REAL kxxL = kxx[index];
+ CCTK_REAL kxyL = kxy[index];
+ CCTK_REAL kxzL = kxz[index];
+ CCTK_REAL kyyL = kyy[index];
+ CCTK_REAL kyzL = kyz[index];
+ CCTK_REAL kzzL = kzz[index];
/* Include user supplied include files */
- /* Precompute derivatives (new style) */
+ /* Precompute derivatives */
CCTK_REAL const PDstandardNth1gxx = PDstandardNth1(gxx, i, j, k);
CCTK_REAL const PDstandardNth2gxx = PDstandardNth2(gxx, i, j, k);
CCTK_REAL const PDstandardNth3gxx = PDstandardNth3(gxx, i, j, k);
@@ -287,175 +223,221 @@ void ML_ADMConstraints_Body(cGH const * restrict const cctkGH, int const dir, in
CCTK_REAL const PDstandardNth1kzz = PDstandardNth1(kzz, i, j, k);
CCTK_REAL const PDstandardNth2kzz = PDstandardNth2(kzz, i, j, k);
- /* Precompute derivatives (old style) */
-
/* Calculate temporaries and grid functions */
- CCTK_REAL const detg = 2*gxyL*gxzL*gyzL + gzzL*(gxxL*gyyL - SQR(gxyL)) - gyyL*SQR(gxzL) - gxxL*SQR(gyzL);
-
- CCTK_REAL const gu11 = INV(detg)*(gyyL*gzzL - SQR(gyzL));
-
- CCTK_REAL const gu21 = (gxzL*gyzL - gxyL*gzzL)*INV(detg);
-
- CCTK_REAL const gu31 = (-(gxzL*gyyL) + gxyL*gyzL)*INV(detg);
-
- CCTK_REAL const gu22 = INV(detg)*(gxxL*gzzL - SQR(gxzL));
-
- CCTK_REAL const gu32 = (gxyL*gxzL - gxxL*gyzL)*INV(detg);
-
- CCTK_REAL const gu33 = INV(detg)*(gxxL*gyyL - SQR(gxyL));
-
- CCTK_REAL const G111 = khalf*(gu11*PDstandardNth1gxx + 2*(gu21*PDstandardNth1gxy + gu31*PDstandardNth1gxz) - gu21*PDstandardNth2gxx -
- gu31*PDstandardNth3gxx);
-
- CCTK_REAL const G211 = khalf*(gu21*PDstandardNth1gxx + 2*(gu22*PDstandardNth1gxy + gu32*PDstandardNth1gxz) - gu22*PDstandardNth2gxx -
- gu32*PDstandardNth3gxx);
-
- CCTK_REAL const G311 = khalf*(gu31*PDstandardNth1gxx + 2*(gu32*PDstandardNth1gxy + gu33*PDstandardNth1gxz) - gu32*PDstandardNth2gxx -
- gu33*PDstandardNth3gxx);
-
- CCTK_REAL const G112 = khalf*(gu21*PDstandardNth1gyy + gu11*PDstandardNth2gxx +
- gu31*(PDstandardNth1gyz + PDstandardNth2gxz - PDstandardNth3gxy));
-
- CCTK_REAL const G212 = khalf*(gu22*PDstandardNth1gyy + gu21*PDstandardNth2gxx +
- gu32*(PDstandardNth1gyz + PDstandardNth2gxz - PDstandardNth3gxy));
-
- CCTK_REAL const G312 = khalf*(gu32*PDstandardNth1gyy + gu31*PDstandardNth2gxx +
- gu33*(PDstandardNth1gyz + PDstandardNth2gxz - PDstandardNth3gxy));
-
- CCTK_REAL const G113 = khalf*(gu31*PDstandardNth1gzz + gu11*PDstandardNth3gxx +
- gu21*(PDstandardNth1gyz - PDstandardNth2gxz + PDstandardNth3gxy));
-
- CCTK_REAL const G213 = khalf*(gu32*PDstandardNth1gzz + gu21*PDstandardNth3gxx +
- gu22*(PDstandardNth1gyz - PDstandardNth2gxz + PDstandardNth3gxy));
-
- CCTK_REAL const G313 = khalf*(gu33*PDstandardNth1gzz + gu31*PDstandardNth3gxx +
- gu32*(PDstandardNth1gyz - PDstandardNth2gxz + PDstandardNth3gxy));
-
- CCTK_REAL const G122 = khalf*(gu11*(-PDstandardNth1gyy + 2*PDstandardNth2gxy) + gu21*PDstandardNth2gyy +
- gu31*(2*PDstandardNth2gyz - PDstandardNth3gyy));
+ CCTK_REAL detg = 2*gxyL*gxzL*gyzL + gzzL*(gxxL*gyyL - SQR(gxyL)) -
+ gyyL*SQR(gxzL) - gxxL*SQR(gyzL);
- CCTK_REAL const G222 = khalf*(gu21*(-PDstandardNth1gyy + 2*PDstandardNth2gxy) + gu22*PDstandardNth2gyy +
- gu32*(2*PDstandardNth2gyz - PDstandardNth3gyy));
+ CCTK_REAL gu11 = INV(detg)*(gyyL*gzzL - SQR(gyzL));
- CCTK_REAL const G322 = khalf*(gu31*(-PDstandardNth1gyy + 2*PDstandardNth2gxy) + gu32*PDstandardNth2gyy +
- gu33*(2*PDstandardNth2gyz - PDstandardNth3gyy));
+ CCTK_REAL gu21 = (gxzL*gyzL - gxyL*gzzL)*INV(detg);
- CCTK_REAL const G123 = khalf*(gu31*PDstandardNth2gzz + gu11*(-PDstandardNth1gyz + PDstandardNth2gxz + PDstandardNth3gxy) +
- gu21*PDstandardNth3gyy);
+ CCTK_REAL gu31 = (-(gxzL*gyyL) + gxyL*gyzL)*INV(detg);
- CCTK_REAL const G223 = khalf*(gu32*PDstandardNth2gzz + gu21*(-PDstandardNth1gyz + PDstandardNth2gxz + PDstandardNth3gxy) +
- gu22*PDstandardNth3gyy);
+ CCTK_REAL gu22 = INV(detg)*(gxxL*gzzL - SQR(gxzL));
- CCTK_REAL const G323 = khalf*(gu33*PDstandardNth2gzz + gu31*(-PDstandardNth1gyz + PDstandardNth2gxz + PDstandardNth3gxy) +
- gu32*PDstandardNth3gyy);
+ CCTK_REAL gu32 = (gxyL*gxzL - gxxL*gyzL)*INV(detg);
+
+ CCTK_REAL gu33 = INV(detg)*(gxxL*gyyL - SQR(gxyL));
- CCTK_REAL const G133 = khalf*(-(gu11*PDstandardNth1gzz) - gu21*PDstandardNth2gzz + 2*gu11*PDstandardNth3gxz +
- 2*gu21*PDstandardNth3gyz + gu31*PDstandardNth3gzz);
+ CCTK_REAL G111 = khalf*(gu11*PDstandardNth1gxx +
+ 2*(gu21*PDstandardNth1gxy + gu31*PDstandardNth1gxz) -
+ gu21*PDstandardNth2gxx - gu31*PDstandardNth3gxx);
+
+ CCTK_REAL G211 = khalf*(gu21*PDstandardNth1gxx +
+ 2*(gu22*PDstandardNth1gxy + gu32*PDstandardNth1gxz) -
+ gu22*PDstandardNth2gxx - gu32*PDstandardNth3gxx);
+
+ CCTK_REAL G311 = khalf*(gu31*PDstandardNth1gxx +
+ 2*(gu32*PDstandardNth1gxy + gu33*PDstandardNth1gxz) -
+ gu32*PDstandardNth2gxx - gu33*PDstandardNth3gxx);
+
+ CCTK_REAL G112 = khalf*(gu21*PDstandardNth1gyy +
+ gu11*PDstandardNth2gxx + gu31*(PDstandardNth1gyz + PDstandardNth2gxz -
+ PDstandardNth3gxy));
+
+ CCTK_REAL G212 = khalf*(gu22*PDstandardNth1gyy +
+ gu21*PDstandardNth2gxx + gu32*(PDstandardNth1gyz + PDstandardNth2gxz -
+ PDstandardNth3gxy));
+
+ CCTK_REAL G312 = khalf*(gu32*PDstandardNth1gyy +
+ gu31*PDstandardNth2gxx + gu33*(PDstandardNth1gyz + PDstandardNth2gxz -
+ PDstandardNth3gxy));
+
+ CCTK_REAL G113 = khalf*(gu31*PDstandardNth1gzz +
+ gu11*PDstandardNth3gxx + gu21*(PDstandardNth1gyz - PDstandardNth2gxz +
+ PDstandardNth3gxy));
+
+ CCTK_REAL G213 = khalf*(gu32*PDstandardNth1gzz +
+ gu21*PDstandardNth3gxx + gu22*(PDstandardNth1gyz - PDstandardNth2gxz +
+ PDstandardNth3gxy));
+
+ CCTK_REAL G313 = khalf*(gu33*PDstandardNth1gzz +
+ gu31*PDstandardNth3gxx + gu32*(PDstandardNth1gyz - PDstandardNth2gxz +
+ PDstandardNth3gxy));
- CCTK_REAL const G233 = khalf*(-(gu21*PDstandardNth1gzz) - gu22*PDstandardNth2gzz + 2*gu21*PDstandardNth3gxz +
- 2*gu22*PDstandardNth3gyz + gu32*PDstandardNth3gzz);
+ CCTK_REAL G122 = khalf*(gu11*(-PDstandardNth1gyy +
+ 2*PDstandardNth2gxy) + gu21*PDstandardNth2gyy +
+ gu31*(2*PDstandardNth2gyz - PDstandardNth3gyy));
- CCTK_REAL const G333 = khalf*(-(gu31*PDstandardNth1gzz) - gu32*PDstandardNth2gzz + 2*gu31*PDstandardNth3gxz +
- 2*gu32*PDstandardNth3gyz + gu33*PDstandardNth3gzz);
+ CCTK_REAL G222 = khalf*(gu21*(-PDstandardNth1gyy +
+ 2*PDstandardNth2gxy) + gu22*PDstandardNth2gyy +
+ gu32*(2*PDstandardNth2gyz - PDstandardNth3gyy));
- CCTK_REAL const R11 = khalf*(-(gu22*PDstandardNth11gyy) - 2*(G111*G122 + G111*G133 + G211*G222 + G211*G233 + G311*G322 + G311*G333 +
- gu32*PDstandardNth11gyz) - gu33*PDstandardNth11gzz + 2*gu22*PDstandardNth12gxy + 2*gu32*PDstandardNth12gxz +
- 2*gu32*PDstandardNth13gxy + 2*gu33*PDstandardNth13gxz - gu22*PDstandardNth22gxx - 2*gu32*PDstandardNth23gxx -
- gu33*PDstandardNth33gxx + 2*SQR(G112) + 2*SQR(G113) + 2*SQR(G212) + 2*SQR(G213) + 2*SQR(G312) + 2*SQR(G313));
+ CCTK_REAL G322 = khalf*(gu31*(-PDstandardNth1gyy +
+ 2*PDstandardNth2gxy) + gu32*PDstandardNth2gyy +
+ gu33*(2*PDstandardNth2gyz - PDstandardNth3gyy));
- CCTK_REAL const R12 = khalf*(2*(G113*G123 + G213*G223 + G313*G323) - 2*(G112*G133 + G212*G233 + G312*G333 + gu21*PDstandardNth12gxy) -
- gu32*PDstandardNth12gyz - gu33*PDstandardNth12gzz +
- gu31*(PDstandardNth11gyz - PDstandardNth12gxz - PDstandardNth13gxy) + gu32*PDstandardNth13gyy +
- gu33*PDstandardNth13gyz + gu21*(PDstandardNth11gyy + PDstandardNth22gxx) + gu32*PDstandardNth22gxz +
- gu31*PDstandardNth23gxx - gu32*PDstandardNth23gxy + gu33*PDstandardNth23gxz - gu33*PDstandardNth33gxy);
+ CCTK_REAL G123 = khalf*(gu31*PDstandardNth2gzz +
+ gu11*(-PDstandardNth1gyz + PDstandardNth2gxz + PDstandardNth3gxy) +
+ gu21*PDstandardNth3gyy);
- CCTK_REAL const R13 = khalf*(2*(G112*G123 + G212*G223 + G312*G323) - 2*(G113*G122 + G213*G222 + G313*G322 + gu31*PDstandardNth13gxz) +
- gu21*(PDstandardNth11gyz - PDstandardNth12gxz - PDstandardNth13gxy + PDstandardNth23gxx) +
- gu22*(PDstandardNth12gyz - PDstandardNth13gyy - PDstandardNth22gxz + PDstandardNth23gxy) +
- gu31*(PDstandardNth11gzz + PDstandardNth33gxx) +
- gu32*(PDstandardNth12gzz - PDstandardNth13gyz - PDstandardNth23gxz + PDstandardNth33gxy));
+ CCTK_REAL G223 = khalf*(gu32*PDstandardNth2gzz +
+ gu21*(-PDstandardNth1gyz + PDstandardNth2gxz + PDstandardNth3gxy) +
+ gu22*PDstandardNth3gyy);
- CCTK_REAL const R22 = khalf*(-2*(G122*(G111 + G133) + G222*(G211 + G233) + G322*(G311 + G333) + gu31*PDstandardNth13gyy) +
- gu11*(-PDstandardNth11gyy + 2*PDstandardNth12gxy - PDstandardNth22gxx) +
- gu31*(-2*PDstandardNth22gxz + 2*(PDstandardNth12gyz + PDstandardNth23gxy)) +
- gu33*(-PDstandardNth22gzz + 2*PDstandardNth23gyz - PDstandardNth33gyy) +
- 2*(SQR(G112) + SQR(G123) + SQR(G212) + SQR(G223) + SQR(G312) + SQR(G323)));
+ CCTK_REAL G323 = khalf*(gu33*PDstandardNth2gzz +
+ gu31*(-PDstandardNth1gyz + PDstandardNth2gxz + PDstandardNth3gxy) +
+ gu32*PDstandardNth3gyy);
- CCTK_REAL const R23 = khalf*(2*(G112*G113 + G212*G213 + G312*G313) +
- gu11*(-PDstandardNth11gyz + PDstandardNth12gxz + PDstandardNth13gxy - PDstandardNth23gxx) +
- gu21*(-PDstandardNth12gyz + PDstandardNth13gyy + PDstandardNth22gxz - PDstandardNth23gxy) -
- 2*(G111*G123 + G211*G223 + G311*G323 + gu32*PDstandardNth23gyz) +
- gu31*(PDstandardNth12gzz - PDstandardNth13gyz - PDstandardNth23gxz + PDstandardNth33gxy) +
- gu32*(PDstandardNth22gzz + PDstandardNth33gyy));
+ CCTK_REAL G133 = khalf*(-(gu11*PDstandardNth1gzz) -
+ gu21*PDstandardNth2gzz + 2*gu11*PDstandardNth3gxz +
+ 2*gu21*PDstandardNth3gyz + gu31*PDstandardNth3gzz);
- CCTK_REAL const R33 = khalf*(gu11*(-PDstandardNth11gzz + 2*PDstandardNth13gxz - PDstandardNth33gxx) -
- 2*((G111 + G122)*G133 + (G211 + G222)*G233 + (G311 + G322)*G333 +
- gu21*(PDstandardNth12gzz + PDstandardNth33gxy)) +
- gu22*(-PDstandardNth22gzz + 2*PDstandardNth23gyz - PDstandardNth33gyy) +
- 2*(gu21*(PDstandardNth13gyz + PDstandardNth23gxz) + SQR(G113) + SQR(G123) + SQR(G213) + SQR(G223) + SQR(G313) +
- SQR(G323)));
+ CCTK_REAL G233 = khalf*(-(gu21*PDstandardNth1gzz) -
+ gu22*PDstandardNth2gzz + 2*gu21*PDstandardNth3gxz +
+ 2*gu22*PDstandardNth3gyz + gu32*PDstandardNth3gzz);
- CCTK_REAL const trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 + gu32*R23) + gu33*R33;
+ CCTK_REAL G333 = khalf*(-(gu31*PDstandardNth1gzz) -
+ gu32*PDstandardNth2gzz + 2*gu31*PDstandardNth3gxz +
+ 2*gu32*PDstandardNth3gyz + gu33*PDstandardNth3gzz);
- CCTK_REAL const Km11 = gu11*kxxL + gu21*kxyL + gu31*kxzL;
-
- CCTK_REAL const Km21 = gu21*kxxL + gu22*kxyL + gu32*kxzL;
-
- CCTK_REAL const Km31 = gu31*kxxL + gu32*kxyL + gu33*kxzL;
-
- CCTK_REAL const Km12 = gu11*kxyL + gu21*kyyL + gu31*kyzL;
-
- CCTK_REAL const Km22 = gu21*kxyL + gu22*kyyL + gu32*kyzL;
-
- CCTK_REAL const Km32 = gu31*kxyL + gu32*kyyL + gu33*kyzL;
-
- CCTK_REAL const Km13 = gu11*kxzL + gu21*kyzL + gu31*kzzL;
-
- CCTK_REAL const Km23 = gu21*kxzL + gu22*kyzL + gu32*kzzL;
-
- CCTK_REAL const Km33 = gu31*kxzL + gu32*kyzL + gu33*kzzL;
-
- CCTK_REAL const trK = Km11 + Km22 + Km33;
-
- CCTK_REAL const rho = pow(alpL,-2)*(eTttL - 2*(betayL*eTtyL + betazL*eTtzL) +
- 2*(betaxL*(-eTtxL + betayL*eTxyL + betazL*eTxzL) + betayL*betazL*eTyzL) + eTxxL*SQR(betaxL) + eTyyL*SQR(betayL) +
- eTzzL*SQR(betazL));
-
- CCTK_REAL const S1 = (-eTtxL + betaxL*eTxxL + betayL*eTxyL + betazL*eTxzL)*INV(alpL);
-
- CCTK_REAL const S2 = (-eTtyL + betaxL*eTxyL + betayL*eTyyL + betazL*eTyzL)*INV(alpL);
-
- CCTK_REAL const S3 = (-eTtzL + betaxL*eTxzL + betayL*eTyzL + betazL*eTzzL)*INV(alpL);
-
- CCTK_REAL const HL = -2*(Km12*Km21 + Km13*Km31 + Km23*Km32) - 50.26548245743669181540229413247204614715*rho + trR - SQR(Km11) -
- SQR(Km22) - SQR(Km33) + SQR(trK);
-
- CCTK_REAL const M1L = gu21*(-(G112*kxxL) + G111*kxyL - G212*kxyL - G312*kxzL + G211*kyyL + G311*kyzL - PDstandardNth1kxy +
- PDstandardNth2kxx) + gu22*(-(G122*kxxL) + G112*kxyL - G222*kxyL - G322*kxzL + G212*kyyL + G312*kyzL -
- PDstandardNth1kyy + PDstandardNth2kxy) + gu31*
- (-(G113*kxxL) - G213*kxyL + G111*kxzL - G313*kxzL + G211*kyzL + G311*kzzL - PDstandardNth1kxz + PDstandardNth3kxx)\
- + gu32*(G113*kxyL + G112*kxzL + G213*kyyL + (G212 + G313)*kyzL + G312*kzzL -
- 2*(G123*kxxL + G223*kxyL + G323*kxzL + PDstandardNth1kyz) + PDstandardNth2kxz + PDstandardNth3kxy) +
- gu33*(-(G133*kxxL) - G233*kxyL + G113*kxzL - G333*kxzL + G213*kyzL + G313*kzzL - PDstandardNth1kzz +
- PDstandardNth3kxz) - 25.13274122871834590770114706623602307358*S1;
-
- CCTK_REAL const M2L = gu11*(G112*kxxL + (-G111 + G212)*kxyL + G312*kxzL - G211*kyyL - G311*kyzL + PDstandardNth1kxy -
- PDstandardNth2kxx) + gu21*(G122*kxxL + (-G112 + G222)*kxyL + G322*kxzL - G212*kyyL - G312*kyzL +
- PDstandardNth1kyy - PDstandardNth2kxy) + gu31*
- (G123*kxxL + (-2*G113 + G223)*kxyL + (G112 + G323)*kxzL + G212*kyzL + G312*kzzL + PDstandardNth1kyz -
- 2*(G213*kyyL + G313*kyzL + PDstandardNth2kxz) + PDstandardNth3kxy) +
- gu32*(-(G123*kxyL) + G122*kxzL - G223*kyyL + G222*kyzL - G323*kyzL + G322*kzzL - PDstandardNth2kyz +
- PDstandardNth3kyy) + gu33*(-(G133*kxyL) + G123*kxzL - G233*kyyL + G223*kyzL - G333*kyzL + G323*kzzL -
- PDstandardNth2kzz + PDstandardNth3kyz) - 25.13274122871834590770114706623602307358*S2;
-
- CCTK_REAL const M3L = gu11*(G113*kxxL + G213*kxyL + (-G111 + G313)*kxzL - G211*kyzL - G311*kzzL + PDstandardNth1kxz -
- PDstandardNth3kxx) + gu21*(G123*kxxL + (G113 + G223)*kxyL + (-2*G112 + G323)*kxzL + G213*kyyL +
- (-2*G212 + G313)*kyzL + PDstandardNth1kyz + PDstandardNth2kxz - 2*(G312*kzzL + PDstandardNth3kxy)) +
- gu31*(G133*kxxL + G233*kxyL + (-G113 + G333)*kxzL - G213*kyzL - G313*kzzL + PDstandardNth1kzz -
- PDstandardNth3kxz) + gu22*(G123*kxyL - G122*kxzL + G223*kyyL - G222*kyzL + G323*kyzL - G322*kzzL +
- PDstandardNth2kyz - PDstandardNth3kyy) + gu32*
- (G133*kxyL - G123*kxzL + G233*kyyL - G223*kyzL + G333*kyzL - G323*kzzL + PDstandardNth2kzz - PDstandardNth3kyz) -
- 25.13274122871834590770114706623602307358*S3;
+ CCTK_REAL R11 = khalf*(-(gu22*PDstandardNth11gyy) - 2*(G111*G122 +
+ G111*G133 + G211*G222 + G211*G233 + G311*G322 + G311*G333 +
+ gu32*PDstandardNth11gyz) - gu33*PDstandardNth11gzz +
+ 2*gu22*PDstandardNth12gxy + 2*gu32*PDstandardNth12gxz +
+ 2*gu32*PDstandardNth13gxy + 2*gu33*PDstandardNth13gxz -
+ gu22*PDstandardNth22gxx - 2*gu32*PDstandardNth23gxx -
+ gu33*PDstandardNth33gxx + 2*SQR(G112) + 2*SQR(G113) + 2*SQR(G212) +
+ 2*SQR(G213) + 2*SQR(G312) + 2*SQR(G313));
+
+ CCTK_REAL R12 = khalf*(2*(G113*G123 + G213*G223 + G313*G323) -
+ 2*(G112*G133 + G212*G233 + G312*G333 + gu21*PDstandardNth12gxy) -
+ gu32*PDstandardNth12gyz - gu33*PDstandardNth12gzz +
+ gu31*(PDstandardNth11gyz - PDstandardNth12gxz - PDstandardNth13gxy) +
+ gu32*PDstandardNth13gyy + gu33*PDstandardNth13gyz +
+ gu21*(PDstandardNth11gyy + PDstandardNth22gxx) +
+ gu32*PDstandardNth22gxz + gu31*PDstandardNth23gxx -
+ gu32*PDstandardNth23gxy + gu33*PDstandardNth23gxz -
+ gu33*PDstandardNth33gxy);
+
+ CCTK_REAL R13 = khalf*(2*(G112*G123 + G212*G223 + G312*G323) -
+ 2*(G113*G122 + G213*G222 + G313*G322 + gu31*PDstandardNth13gxz) +
+ gu21*(PDstandardNth11gyz - PDstandardNth12gxz - PDstandardNth13gxy +
+ PDstandardNth23gxx) + gu22*(PDstandardNth12gyz - PDstandardNth13gyy -
+ PDstandardNth22gxz + PDstandardNth23gxy) + gu31*(PDstandardNth11gzz +
+ PDstandardNth33gxx) + gu32*(PDstandardNth12gzz - PDstandardNth13gyz -
+ PDstandardNth23gxz + PDstandardNth33gxy));
+
+ CCTK_REAL R22 = khalf*(-2*(G122*(G111 + G133) + G222*(G211 + G233) +
+ G322*(G311 + G333) + gu31*PDstandardNth13gyy) +
+ gu11*(-PDstandardNth11gyy + 2*PDstandardNth12gxy - PDstandardNth22gxx)
+ + gu31*(-2*PDstandardNth22gxz + 2*(PDstandardNth12gyz +
+ PDstandardNth23gxy)) + gu33*(-PDstandardNth22gzz + 2*PDstandardNth23gyz
+ - PDstandardNth33gyy) + 2*(SQR(G112) + SQR(G123) + SQR(G212) +
+ SQR(G223) + SQR(G312) + SQR(G323)));
+
+ CCTK_REAL R23 = khalf*(2*(G112*G113 + G212*G213 + G312*G313) +
+ gu11*(-PDstandardNth11gyz + PDstandardNth12gxz + PDstandardNth13gxy -
+ PDstandardNth23gxx) + gu21*(-PDstandardNth12gyz + PDstandardNth13gyy +
+ PDstandardNth22gxz - PDstandardNth23gxy) - 2*(G111*G123 + G211*G223 +
+ G311*G323 + gu32*PDstandardNth23gyz) + gu31*(PDstandardNth12gzz -
+ PDstandardNth13gyz - PDstandardNth23gxz + PDstandardNth33gxy) +
+ gu32*(PDstandardNth22gzz + PDstandardNth33gyy));
+
+ CCTK_REAL R33 = khalf*(gu11*(-PDstandardNth11gzz +
+ 2*PDstandardNth13gxz - PDstandardNth33gxx) - 2*((G111 + G122)*G133 +
+ (G211 + G222)*G233 + (G311 + G322)*G333 + gu21*(PDstandardNth12gzz +
+ PDstandardNth33gxy)) + gu22*(-PDstandardNth22gzz + 2*PDstandardNth23gyz
+ - PDstandardNth33gyy) + 2*(gu21*(PDstandardNth13gyz +
+ PDstandardNth23gxz) + SQR(G113) + SQR(G123) + SQR(G213) + SQR(G223) +
+ SQR(G313) + SQR(G323)));
+
+ CCTK_REAL trR = gu11*R11 + gu22*R22 + 2*(gu21*R12 + gu31*R13 +
+ gu32*R23) + gu33*R33;
+
+ CCTK_REAL Km11 = gu11*kxxL + gu21*kxyL + gu31*kxzL;
+
+ CCTK_REAL Km21 = gu21*kxxL + gu22*kxyL + gu32*kxzL;
+
+ CCTK_REAL Km31 = gu31*kxxL + gu32*kxyL + gu33*kxzL;
+
+ CCTK_REAL Km12 = gu11*kxyL + gu21*kyyL + gu31*kyzL;
+
+ CCTK_REAL Km22 = gu21*kxyL + gu22*kyyL + gu32*kyzL;
+
+ CCTK_REAL Km32 = gu31*kxyL + gu32*kyyL + gu33*kyzL;
+
+ CCTK_REAL Km13 = gu11*kxzL + gu21*kyzL + gu31*kzzL;
+
+ CCTK_REAL Km23 = gu21*kxzL + gu22*kyzL + gu32*kzzL;
+
+ CCTK_REAL Km33 = gu31*kxzL + gu32*kyzL + gu33*kzzL;
+
+ CCTK_REAL trK = Km11 + Km22 + Km33;
+
+ CCTK_REAL rho = pow(alpL,-2)*(eTttL - 2*(betayL*eTtyL + betazL*eTtzL)
+ + 2*(betaxL*(-eTtxL + betayL*eTxyL + betazL*eTxzL) +
+ betayL*betazL*eTyzL) + eTxxL*SQR(betaxL) + eTyyL*SQR(betayL) +
+ eTzzL*SQR(betazL));
+
+ CCTK_REAL S1 = (-eTtxL + betaxL*eTxxL + betayL*eTxyL +
+ betazL*eTxzL)*INV(alpL);
+
+ CCTK_REAL S2 = (-eTtyL + betaxL*eTxyL + betayL*eTyyL +
+ betazL*eTyzL)*INV(alpL);
+
+ CCTK_REAL S3 = (-eTtzL + betaxL*eTxzL + betayL*eTyzL +
+ betazL*eTzzL)*INV(alpL);
+
+ CCTK_REAL HL = -2*(Km12*Km21 + Km13*Km31 + Km23*Km32) -
+ 50.26548245743669181540229413247204614715*rho + trR - SQR(Km11) -
+ SQR(Km22) - SQR(Km33) + SQR(trK);
+
+ CCTK_REAL M1L = gu21*(-(G112*kxxL) + G111*kxyL - G212*kxyL - G312*kxzL
+ + G211*kyyL + G311*kyzL - PDstandardNth1kxy + PDstandardNth2kxx) +
+ gu22*(-(G122*kxxL) + G112*kxyL - G222*kxyL - G322*kxzL + G212*kyyL +
+ G312*kyzL - PDstandardNth1kyy + PDstandardNth2kxy) + gu31*(-(G113*kxxL)
+ - G213*kxyL + G111*kxzL - G313*kxzL + G211*kyzL + G311*kzzL -
+ PDstandardNth1kxz + PDstandardNth3kxx) + gu32*(G113*kxyL + G112*kxzL +
+ G213*kyyL + (G212 + G313)*kyzL + G312*kzzL - 2*(G123*kxxL + G223*kxyL +
+ G323*kxzL + PDstandardNth1kyz) + PDstandardNth2kxz + PDstandardNth3kxy)
+ + gu33*(-(G133*kxxL) - G233*kxyL + G113*kxzL - G333*kxzL + G213*kyzL +
+ G313*kzzL - PDstandardNth1kzz + PDstandardNth3kxz) -
+ 25.13274122871834590770114706623602307358*S1;
+
+ CCTK_REAL M2L = gu11*(G112*kxxL + (-G111 + G212)*kxyL + G312*kxzL -
+ G211*kyyL - G311*kyzL + PDstandardNth1kxy - PDstandardNth2kxx) +
+ gu21*(G122*kxxL + (-G112 + G222)*kxyL + G322*kxzL - G212*kyyL -
+ G312*kyzL + PDstandardNth1kyy - PDstandardNth2kxy) + gu31*(G123*kxxL +
+ (-2*G113 + G223)*kxyL + (G112 + G323)*kxzL + G212*kyzL + G312*kzzL +
+ PDstandardNth1kyz - 2*(G213*kyyL + G313*kyzL + PDstandardNth2kxz) +
+ PDstandardNth3kxy) + gu32*(-(G123*kxyL) + G122*kxzL - G223*kyyL +
+ G222*kyzL - G323*kyzL + G322*kzzL - PDstandardNth2kyz +
+ PDstandardNth3kyy) + gu33*(-(G133*kxyL) + G123*kxzL - G233*kyyL +
+ G223*kyzL - G333*kyzL + G323*kzzL - PDstandardNth2kzz +
+ PDstandardNth3kyz) - 25.13274122871834590770114706623602307358*S2;
+
+ CCTK_REAL M3L = gu11*(G113*kxxL + G213*kxyL + (-G111 + G313)*kxzL -
+ G211*kyzL - G311*kzzL + PDstandardNth1kxz - PDstandardNth3kxx) +
+ gu21*(G123*kxxL + (G113 + G223)*kxyL + (-2*G112 + G323)*kxzL +
+ G213*kyyL + (-2*G212 + G313)*kyzL + PDstandardNth1kyz +
+ PDstandardNth2kxz - 2*(G312*kzzL + PDstandardNth3kxy)) +
+ gu31*(G133*kxxL + G233*kxyL + (-G113 + G333)*kxzL - G213*kyzL -
+ G313*kzzL + PDstandardNth1kzz - PDstandardNth3kxz) + gu22*(G123*kxyL -
+ G122*kxzL + G223*kyyL - G222*kyzL + G323*kyzL - G322*kzzL +
+ PDstandardNth2kyz - PDstandardNth3kyy) + gu32*(G133*kxyL - G123*kxzL +
+ G233*kyyL - G223*kyzL + G333*kyzL - G323*kzzL + PDstandardNth2kzz -
+ PDstandardNth3kyz) - 25.13274122871834590770114706623602307358*S3;
/* Copy local copies back to grid functions */
@@ -463,8 +445,6 @@ void ML_ADMConstraints_Body(cGH const * restrict const cctkGH, int const dir, in
M1[index] = M1L;
M2[index] = M2L;
M3[index] = M3L;
-
- /* Copy local copies back to subblock grid functions */
}
LC_ENDLOOP3 (ML_ADMConstraints);
}