1 // Copyright (c) 2017-2026, Lawrence Livermore National Security, LLC and other CEED contributors.
2 // All Rights Reserved. See the top-level LICENSE and NOTICE files for details.
3 //
4 // SPDX-License-Identifier: BSD-2-Clause
5 //
6 // This file is part of CEED: http://github.com/ceed
7
8 /// @file
9 /// libCEED QFunctions for diffusion operator example using PETSc
10
11 #include <ceed/types.h>
12 #ifndef CEED_RUNNING_JIT_PASS
13 #include <math.h>
14 #endif
15
16 // -----------------------------------------------------------------------------
17 // This QFunction sets up the rhs and true solution for the problem
18 // -----------------------------------------------------------------------------
SetupMassDiffRhs3(void * ctx,CeedInt Q,const CeedScalar * const * in,CeedScalar * const * out)19 CEED_QFUNCTION(SetupMassDiffRhs3)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) {
20 #ifndef M_PI
21 #define M_PI 3.14159265358979323846
22 #endif
23 const CeedScalar *x = in[0], *w = in[1];
24 CeedScalar *true_soln = out[0], *rhs = out[1];
25
26 // Quadrature Point Loop
27 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) {
28 const CeedScalar c[3] = {0, 1., 2.};
29 const CeedScalar k[3] = {1., 2., 3.};
30
31 // Component 1
32 true_soln[i + 0 * Q] =
33 sin(M_PI * (c[0] + k[0] * x[i + Q * 0])) * sin(M_PI * (c[1] + k[1] * x[i + Q * 1])) * sin(M_PI * (c[2] + k[2] * x[i + Q * 2]));
34 // Component 2
35 true_soln[i + 1 * Q] = 2 * true_soln[i + 0 * Q];
36 // Component 3
37 true_soln[i + 2 * Q] = 3 * true_soln[i + 0 * Q];
38
39 // Component 1
40 rhs[i + 0 * Q] = w[i + Q * 0] * (M_PI * M_PI * (k[0] * k[0] + k[1] * k[1] + k[2] * k[2]) + 1.0) * true_soln[i + 0 * Q];
41 // Component 2
42 rhs[i + 1 * Q] = 2 * rhs[i + 0 * Q];
43 // Component 3
44 rhs[i + 2 * Q] = 3 * rhs[i + 0 * Q];
45 } // End of Quadrature Point Loop
46 return 0;
47 }
48
49 // -----------------------------------------------------------------------------
50 // This QFunction applies the mass + diffusion operator for a vector field of 3 components.
51 //
52 // Inputs:
53 // u - Input vector at quadrature points
54 // ug - Input vector Jacobian at quadrature points
55 // q_data - Geometric factors
56 //
57 // Output:
58 // v - Output vector (test functions) at quadrature points
59 // vJ - Output vector (test functions) Jacobian at quadrature points
60 // -----------------------------------------------------------------------------
MassDiff3(void * ctx,CeedInt Q,const CeedScalar * const * in,CeedScalar * const * out)61 CEED_QFUNCTION(MassDiff3)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) {
62 const CeedScalar *u = in[0], *ug = in[1], *q_data = in[2];
63 CeedScalar *v = out[0], *vg = out[1];
64
65 // Quadrature Point Loop
66 CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) {
67 // Read spatial derivatives of u components
68 const CeedScalar uJ[3][3] = {
69 {ug[i + (0 + 0 * 3) * Q], ug[i + (0 + 1 * 3) * Q], ug[i + (0 + 2 * 3) * Q]},
70 {ug[i + (1 + 0 * 3) * Q], ug[i + (1 + 1 * 3) * Q], ug[i + (1 + 2 * 3) * Q]},
71 {ug[i + (2 + 0 * 3) * Q], ug[i + (2 + 1 * 3) * Q], ug[i + (2 + 2 * 3) * Q]}
72 };
73 // Read q_data (dXdxdXdx_T symmetric matrix)
74 const CeedScalar dXdxdXdx_T[3][3] = {
75 {q_data[i + 1 * Q], q_data[i + 2 * Q], q_data[i + 3 * Q]},
76 {q_data[i + 2 * Q], q_data[i + 4 * Q], q_data[i + 5 * Q]},
77 {q_data[i + 3 * Q], q_data[i + 5 * Q], q_data[i + 6 * Q]}
78 };
79
80 for (int k = 0; k < 3; k++) { // k = component
81 // Mass
82 v[i + k * Q] = q_data[i + 0 * Q] * u[i + k * Q];
83 // Diff
84 for (int j = 0; j < 3; j++) { // j = direction of vg
85 vg[i + (k + j * 3) * Q] = (uJ[k][0] * dXdxdXdx_T[0][j] + uJ[k][1] * dXdxdXdx_T[1][j] + uJ[k][2] * dXdxdXdx_T[2][j]);
86 }
87 }
88 } // End of Quadrature Point Loop
89
90 return 0;
91 }
92 // -----------------------------------------------------------------------------
93