1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
|
/* File produced by Kranc */
#define KRANC_C
#include <assert.h>
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#include "GenericFD.h"
#include "Differencing.h"
#include "loopcontrol.h"
#include "vectors.h"
/* Define macros used in calculations */
#define INITVALUE (42)
#define QAD(x) (SQR(SQR(x)))
#define INV(x) (kdiv(ToReal(1.0),x))
#define SQR(x) (kmul(x,x))
#define CUB(x) (kmul(x,SQR(x)))
extern "C" void ML_BSSN_convertToADMBaseDtLapseShift_SelectBCs(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS;
DECLARE_CCTK_PARAMETERS;
CCTK_INT ierr = 0;
ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ADMBase::dtlapse","flat");
if (ierr < 0)
CCTK_WARN(1, "Failed to register flat BC for ADMBase::dtlapse.");
ierr = Boundary_SelectGroupForBC(cctkGH, CCTK_ALL_FACES, GenericFD_GetBoundaryWidth(cctkGH), -1 /* no table */, "ADMBase::dtshift","flat");
if (ierr < 0)
CCTK_WARN(1, "Failed to register flat BC for ADMBase::dtshift.");
return;
}
static void ML_BSSN_convertToADMBaseDtLapseShift_Body(cGH const * restrict const cctkGH, int const dir, int const face, CCTK_REAL const normal[3], CCTK_REAL const tangentA[3], CCTK_REAL const tangentB[3], int const min[3], int const max[3], int const n_subblock_gfs, CCTK_REAL * restrict const subblock_gfs[])
{
DECLARE_CCTK_ARGUMENTS;
DECLARE_CCTK_PARAMETERS;
/* Declare finite differencing variables */
if (verbose > 1)
{
CCTK_VInfo(CCTK_THORNSTRING,"Entering ML_BSSN_convertToADMBaseDtLapseShift_Body");
}
if (cctk_iteration % ML_BSSN_convertToADMBaseDtLapseShift_calc_every != ML_BSSN_convertToADMBaseDtLapseShift_calc_offset)
{
return;
}
const char *groups[] = {"ADMBase::dtlapse","ADMBase::dtshift","grid::coordinates","Grid::coordinates","ML_BSSN::ML_dtlapse","ML_BSSN::ML_dtshift","ML_BSSN::ML_Gamma","ML_BSSN::ML_lapse","ML_BSSN::ML_shift","ML_BSSN::ML_trace_curv"};
GenericFD_AssertGroupStorage(cctkGH, "ML_BSSN_convertToADMBaseDtLapseShift", 10, groups);
GenericFD_EnsureStencilFits(cctkGH, "ML_BSSN_convertToADMBaseDtLapseShift", 3, 3, 3);
/* Include user-supplied include files */
/* Initialise finite differencing variables */
ptrdiff_t const di = 1;
ptrdiff_t const dj = CCTK_GFINDEX3D(cctkGH,0,1,0) - CCTK_GFINDEX3D(cctkGH,0,0,0);
ptrdiff_t const dk = CCTK_GFINDEX3D(cctkGH,0,0,1) - CCTK_GFINDEX3D(cctkGH,0,0,0);
ptrdiff_t const cdi = sizeof(CCTK_REAL) * di;
ptrdiff_t const cdj = sizeof(CCTK_REAL) * dj;
ptrdiff_t const cdk = sizeof(CCTK_REAL) * dk;
CCTK_REAL_VEC const dx = ToReal(CCTK_DELTA_SPACE(0));
CCTK_REAL_VEC const dy = ToReal(CCTK_DELTA_SPACE(1));
CCTK_REAL_VEC const dz = ToReal(CCTK_DELTA_SPACE(2));
CCTK_REAL_VEC const dt = ToReal(CCTK_DELTA_TIME);
CCTK_REAL_VEC const dxi = INV(dx);
CCTK_REAL_VEC const dyi = INV(dy);
CCTK_REAL_VEC const dzi = INV(dz);
CCTK_REAL_VEC const khalf = ToReal(0.5);
CCTK_REAL_VEC const kthird = ToReal(1.0/3.0);
CCTK_REAL_VEC const ktwothird = ToReal(2.0/3.0);
CCTK_REAL_VEC const kfourthird = ToReal(4.0/3.0);
CCTK_REAL_VEC const keightthird = ToReal(8.0/3.0);
CCTK_REAL_VEC const hdxi = kmul(ToReal(0.5), dxi);
CCTK_REAL_VEC const hdyi = kmul(ToReal(0.5), dyi);
CCTK_REAL_VEC const hdzi = kmul(ToReal(0.5), dzi);
/* Initialize predefined quantities */
CCTK_REAL_VEC const p1o12dx = kmul(INV(dx),ToReal(0.0833333333333333333333333333333));
CCTK_REAL_VEC const p1o12dy = kmul(INV(dy),ToReal(0.0833333333333333333333333333333));
CCTK_REAL_VEC const p1o12dz = kmul(INV(dz),ToReal(0.0833333333333333333333333333333));
CCTK_REAL_VEC const p1o144dxdy = kmul(INV(dx),kmul(INV(dy),ToReal(0.00694444444444444444444444444444)));
CCTK_REAL_VEC const p1o144dxdz = kmul(INV(dx),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
CCTK_REAL_VEC const p1o144dydz = kmul(INV(dy),kmul(INV(dz),ToReal(0.00694444444444444444444444444444)));
CCTK_REAL_VEC const p1o24dx = kmul(INV(dx),ToReal(0.0416666666666666666666666666667));
CCTK_REAL_VEC const p1o24dy = kmul(INV(dy),ToReal(0.0416666666666666666666666666667));
CCTK_REAL_VEC const p1o24dz = kmul(INV(dz),ToReal(0.0416666666666666666666666666667));
CCTK_REAL_VEC const p1o64dx = kmul(INV(dx),ToReal(0.015625));
CCTK_REAL_VEC const p1o64dy = kmul(INV(dy),ToReal(0.015625));
CCTK_REAL_VEC const p1o64dz = kmul(INV(dz),ToReal(0.015625));
CCTK_REAL_VEC const p1odx = INV(dx);
CCTK_REAL_VEC const p1ody = INV(dy);
CCTK_REAL_VEC const p1odz = INV(dz);
CCTK_REAL_VEC const pm1o12dx2 = kmul(INV(SQR(dx)),ToReal(-0.0833333333333333333333333333333));
CCTK_REAL_VEC const pm1o12dy2 = kmul(INV(SQR(dy)),ToReal(-0.0833333333333333333333333333333));
CCTK_REAL_VEC const pm1o12dz2 = kmul(INV(SQR(dz)),ToReal(-0.0833333333333333333333333333333));
/* Loop over the grid points */
#pragma omp parallel
LC_LOOP3VEC (ML_BSSN_convertToADMBaseDtLapseShift,
i,j,k, min[0],min[1],min[2], max[0],max[1],max[2],
cctk_lsh[0],cctk_lsh[1],cctk_lsh[2],
CCTK_REAL_VEC_SIZE)
{
ptrdiff_t const index = di*i + dj*j + dk*k;
/* Assign local copies of grid functions */
CCTK_REAL_VEC AL = vec_load(A[index]);
CCTK_REAL_VEC alphaL = vec_load(alpha[index]);
CCTK_REAL_VEC B1L = vec_load(B1[index]);
CCTK_REAL_VEC B2L = vec_load(B2[index]);
CCTK_REAL_VEC B3L = vec_load(B3[index]);
CCTK_REAL_VEC beta1L = vec_load(beta1[index]);
CCTK_REAL_VEC beta2L = vec_load(beta2[index]);
CCTK_REAL_VEC beta3L = vec_load(beta3[index]);
CCTK_REAL_VEC rL = vec_load(r[index]);
CCTK_REAL_VEC trKL = vec_load(trK[index]);
CCTK_REAL_VEC Xt1L = vec_load(Xt1[index]);
CCTK_REAL_VEC Xt2L = vec_load(Xt2[index]);
CCTK_REAL_VEC Xt3L = vec_load(Xt3[index]);
/* Include user supplied include files */
/* Precompute derivatives */
CCTK_REAL_VEC const PDupwindNthAnti1alpha = PDupwindNthAnti1(&alpha[index]);
CCTK_REAL_VEC const PDupwindNthSymm1alpha = PDupwindNthSymm1(&alpha[index]);
CCTK_REAL_VEC const PDupwindNthAnti2alpha = PDupwindNthAnti2(&alpha[index]);
CCTK_REAL_VEC const PDupwindNthSymm2alpha = PDupwindNthSymm2(&alpha[index]);
CCTK_REAL_VEC const PDupwindNthAnti3alpha = PDupwindNthAnti3(&alpha[index]);
CCTK_REAL_VEC const PDupwindNthSymm3alpha = PDupwindNthSymm3(&alpha[index]);
CCTK_REAL_VEC const PDupwindNthAnti1beta1 = PDupwindNthAnti1(&beta1[index]);
CCTK_REAL_VEC const PDupwindNthSymm1beta1 = PDupwindNthSymm1(&beta1[index]);
CCTK_REAL_VEC const PDupwindNthAnti2beta1 = PDupwindNthAnti2(&beta1[index]);
CCTK_REAL_VEC const PDupwindNthSymm2beta1 = PDupwindNthSymm2(&beta1[index]);
CCTK_REAL_VEC const PDupwindNthAnti3beta1 = PDupwindNthAnti3(&beta1[index]);
CCTK_REAL_VEC const PDupwindNthSymm3beta1 = PDupwindNthSymm3(&beta1[index]);
CCTK_REAL_VEC const PDupwindNthAnti1beta2 = PDupwindNthAnti1(&beta2[index]);
CCTK_REAL_VEC const PDupwindNthSymm1beta2 = PDupwindNthSymm1(&beta2[index]);
CCTK_REAL_VEC const PDupwindNthAnti2beta2 = PDupwindNthAnti2(&beta2[index]);
CCTK_REAL_VEC const PDupwindNthSymm2beta2 = PDupwindNthSymm2(&beta2[index]);
CCTK_REAL_VEC const PDupwindNthAnti3beta2 = PDupwindNthAnti3(&beta2[index]);
CCTK_REAL_VEC const PDupwindNthSymm3beta2 = PDupwindNthSymm3(&beta2[index]);
CCTK_REAL_VEC const PDupwindNthAnti1beta3 = PDupwindNthAnti1(&beta3[index]);
CCTK_REAL_VEC const PDupwindNthSymm1beta3 = PDupwindNthSymm1(&beta3[index]);
CCTK_REAL_VEC const PDupwindNthAnti2beta3 = PDupwindNthAnti2(&beta3[index]);
CCTK_REAL_VEC const PDupwindNthSymm2beta3 = PDupwindNthSymm2(&beta3[index]);
CCTK_REAL_VEC const PDupwindNthAnti3beta3 = PDupwindNthAnti3(&beta3[index]);
CCTK_REAL_VEC const PDupwindNthSymm3beta3 = PDupwindNthSymm3(&beta3[index]);
/* Calculate temporaries and grid functions */
ptrdiff_t dir1 = Sign(beta1L);
ptrdiff_t dir2 = Sign(beta2L);
ptrdiff_t dir3 = Sign(beta3L);
CCTK_REAL_VEC eta =
kfmin(ToReal(1),kmul(INV(rL),ToReal(SpatialBetaDriverRadius)));
CCTK_REAL_VEC theta =
kfmin(ToReal(1),kexp(knmsub(rL,INV(ToReal(SpatialShiftGammaCoeffRadius)),ToReal(1))));
CCTK_REAL_VEC dtalpL =
kmsub(kmadd(beta1L,PDupwindNthAnti1alpha,kmadd(beta2L,PDupwindNthAnti2alpha,kmadd(beta3L,PDupwindNthAnti3alpha,kmadd(PDupwindNthSymm1alpha,kfabs(beta1L),kmadd(PDupwindNthSymm2alpha,kfabs(beta2L),kmul(PDupwindNthSymm3alpha,kfabs(beta3L))))))),ToReal(LapseAdvectionCoeff),kmul(kpow(alphaL,harmonicN),kmul(ToReal(harmonicF),kmadd(ksub(AL,trKL),ToReal(LapseACoeff),trKL))));
CCTK_REAL_VEC dtbetaxL =
kmadd(kmadd(beta1L,PDupwindNthAnti1beta1,kmadd(beta2L,PDupwindNthAnti2beta1,kmadd(beta3L,PDupwindNthAnti3beta1,kmadd(PDupwindNthSymm1beta1,kfabs(beta1L),kmadd(PDupwindNthSymm2beta1,kfabs(beta2L),kmul(PDupwindNthSymm3beta1,kfabs(beta3L))))))),ToReal(ShiftAdvectionCoeff),kmul(theta,kmul(kadd(Xt1L,kmadd(beta1L,kmul(eta,ToReal(BetaDriver*(-1
+
ShiftBCoeff))),kmul(ksub(B1L,Xt1L),ToReal(ShiftBCoeff)))),ToReal(ShiftGammaCoeff))));
CCTK_REAL_VEC dtbetayL =
kmadd(kmadd(beta1L,PDupwindNthAnti1beta2,kmadd(beta2L,PDupwindNthAnti2beta2,kmadd(beta3L,PDupwindNthAnti3beta2,kmadd(PDupwindNthSymm1beta2,kfabs(beta1L),kmadd(PDupwindNthSymm2beta2,kfabs(beta2L),kmul(PDupwindNthSymm3beta2,kfabs(beta3L))))))),ToReal(ShiftAdvectionCoeff),kmul(theta,kmul(kadd(Xt2L,kmadd(beta2L,kmul(eta,ToReal(BetaDriver*(-1
+
ShiftBCoeff))),kmul(ksub(B2L,Xt2L),ToReal(ShiftBCoeff)))),ToReal(ShiftGammaCoeff))));
CCTK_REAL_VEC dtbetazL =
kmadd(kmadd(beta1L,PDupwindNthAnti1beta3,kmadd(beta2L,PDupwindNthAnti2beta3,kmadd(beta3L,PDupwindNthAnti3beta3,kmadd(PDupwindNthSymm1beta3,kfabs(beta1L),kmadd(PDupwindNthSymm2beta3,kfabs(beta2L),kmul(PDupwindNthSymm3beta3,kfabs(beta3L))))))),ToReal(ShiftAdvectionCoeff),kmul(theta,kmul(kadd(Xt3L,kmadd(beta3L,kmul(eta,ToReal(BetaDriver*(-1
+
ShiftBCoeff))),kmul(ksub(B3L,Xt3L),ToReal(ShiftBCoeff)))),ToReal(ShiftGammaCoeff))));
/* If necessary, store only partial vectors after the first iteration */
if (CCTK_REAL_VEC_SIZE > 2 && CCTK_BUILTIN_EXPECT(i < lc_imin && i+CCTK_REAL_VEC_SIZE > lc_imax, 0))
{
ptrdiff_t const elt_count_lo = lc_imin-i;
ptrdiff_t const elt_count_hi = lc_imax-i;
vec_store_nta_partial_mid(dtalp[index],dtalpL,elt_count_lo,elt_count_hi);
vec_store_nta_partial_mid(dtbetax[index],dtbetaxL,elt_count_lo,elt_count_hi);
vec_store_nta_partial_mid(dtbetay[index],dtbetayL,elt_count_lo,elt_count_hi);
vec_store_nta_partial_mid(dtbetaz[index],dtbetazL,elt_count_lo,elt_count_hi);
break;
}
/* If necessary, store only partial vectors after the first iteration */
if (CCTK_REAL_VEC_SIZE > 1 && CCTK_BUILTIN_EXPECT(i < lc_imin, 0))
{
ptrdiff_t const elt_count = lc_imin-i;
vec_store_nta_partial_hi(dtalp[index],dtalpL,elt_count);
vec_store_nta_partial_hi(dtbetax[index],dtbetaxL,elt_count);
vec_store_nta_partial_hi(dtbetay[index],dtbetayL,elt_count);
vec_store_nta_partial_hi(dtbetaz[index],dtbetazL,elt_count);
continue;
}
/* If necessary, store only partial vectors after the last iteration */
if (CCTK_REAL_VEC_SIZE > 1 && CCTK_BUILTIN_EXPECT(i+CCTK_REAL_VEC_SIZE > lc_imax, 0))
{
ptrdiff_t const elt_count = lc_imax-i;
vec_store_nta_partial_lo(dtalp[index],dtalpL,elt_count);
vec_store_nta_partial_lo(dtbetax[index],dtbetaxL,elt_count);
vec_store_nta_partial_lo(dtbetay[index],dtbetayL,elt_count);
vec_store_nta_partial_lo(dtbetaz[index],dtbetazL,elt_count);
break;
}
/* Copy local copies back to grid functions */
vec_store_nta(dtalp[index],dtalpL);
vec_store_nta(dtbetax[index],dtbetaxL);
vec_store_nta(dtbetay[index],dtbetayL);
vec_store_nta(dtbetaz[index],dtbetazL);
}
LC_ENDLOOP3VEC (ML_BSSN_convertToADMBaseDtLapseShift);
}
extern "C" void ML_BSSN_convertToADMBaseDtLapseShift(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS;
DECLARE_CCTK_PARAMETERS;
GenericFD_LoopOverInterior(cctkGH, &ML_BSSN_convertToADMBaseDtLapseShift_Body);
}
|
