xref: /libCEED/examples/petsc/qfunctions/bps/bp2sphere.h (revision fd831f258b694b9857c348ebef72fcfdbf8a8f6b)
1 // Copyright (c) 2017-2024, 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 mass operator example for a vector field on the sphere 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 // -----------------------------------------------------------------------------
19 CEED_QFUNCTION(SetupMassRhs3)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) {
20   // Inputs
21   const CeedScalar *X = in[0], *q_data = in[1];
22   // Outputs
23   CeedScalar *true_soln = out[0], *rhs = out[1];
24 
25   // Context
26   const CeedScalar *context = (const CeedScalar *)ctx;
27   const CeedScalar  R       = context[0];
28 
29   // Quadrature Point Loop
30   CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) {
31     // Compute latitude
32     const CeedScalar theta = asin(X[i + 2 * Q] / R);
33 
34     // Use absolute value of latitude for true solution
35     // Component 1
36     true_soln[i + 0 * Q] = fabs(theta);
37     // Component 2
38     true_soln[i + 1 * Q] = 2 * true_soln[i + 0 * Q];
39     // Component 3
40     true_soln[i + 2 * Q] = 3 * true_soln[i + 0 * Q];
41 
42     // Component 1
43     rhs[i + 0 * Q] = q_data[i] * true_soln[i];
44     // Component 2
45     rhs[i + 1 * Q] = 2 * rhs[i + 0 * Q];
46     // Component 3
47     rhs[i + 2 * Q] = 3 * rhs[i + 0 * Q];
48   }  // End of Quadrature Point Loop
49 
50   return 0;
51 }
52 
53 // -----------------------------------------------------------------------------
54 // This QFunction applies the mass operator for a vector field of 3 components.
55 //
56 // Inputs:
57 //   u      - Input vector at quadrature points
58 //   q_data - Geometric factors
59 //
60 // Output:
61 //   v     - Output vector (test functions) at quadrature points
62 // -----------------------------------------------------------------------------
63 CEED_QFUNCTION(Mass3)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) {
64   const CeedScalar *u = in[0], *q_data = in[1];
65   CeedScalar       *v = out[0];
66 
67   // Quadrature Point Loop
68   CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) {
69     // Component 1
70     v[i + 0 * Q] = q_data[i] * u[i + 0 * Q];
71     // Component 2
72     v[i + 1 * Q] = q_data[i] * u[i + 1 * Q];
73     // Component 3
74     v[i + 2 * Q] = q_data[i] * u[i + 2 * Q];
75   }  // End of Quadrature Point Loop
76 
77   return 0;
78 }
79 // -----------------------------------------------------------------------------
80