1 // Copyright (c) 2017-2022, 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 #ifndef bp2sphere_h 12 #define bp2sphere_h 13 14 #include <ceed.h> 15 #include <math.h> 16 17 // ----------------------------------------------------------------------------- 18 // This QFunction sets up the rhs and true solution for the problem 19 // ----------------------------------------------------------------------------- 20 CEED_QFUNCTION(SetupMassRhs3)(void *ctx, const CeedInt Q, 21 const CeedScalar *const *in, 22 CeedScalar *const *out) { 23 // Inputs 24 const CeedScalar *X = in[0], *q_data = in[1]; 25 // Outputs 26 CeedScalar *true_soln = out[0], *rhs = out[1]; 27 28 // Context 29 const CeedScalar *context = (const CeedScalar*)ctx; 30 const CeedScalar R = context[0]; 31 32 // Quadrature Point Loop 33 CeedPragmaSIMD 34 for (CeedInt i=0; i<Q; i++) { 35 // Compute latitude 36 const CeedScalar theta = asin(X[i+2*Q] / R); 37 38 // Use absolute value of latitude for true solution 39 // Component 1 40 true_soln[i+0*Q] = fabs(theta); 41 // Component 2 42 true_soln[i+1*Q] = 2 * true_soln[i+0*Q]; 43 // Component 3 44 true_soln[i+2*Q] = 3 * true_soln[i+0*Q]; 45 46 // Component 1 47 rhs[i+0*Q] = q_data[i] * true_soln[i]; 48 // Component 2 49 rhs[i+1*Q] = 2 * rhs[i+0*Q]; 50 // Component 3 51 rhs[i+2*Q] = 3 * rhs[i+0*Q]; 52 } // End of Quadrature Point Loop 53 54 return 0; 55 } 56 57 // ----------------------------------------------------------------------------- 58 // This QFunction applies the mass operator for a vector field of 3 components. 59 // 60 // Inputs: 61 // u - Input vector at quadrature points 62 // q_data - Geometric factors 63 // 64 // Output: 65 // v - Output vector (test functions) at quadrature points 66 // 67 // ----------------------------------------------------------------------------- 68 CEED_QFUNCTION(Mass3)(void *ctx, const CeedInt Q, 69 const CeedScalar *const *in, CeedScalar *const *out) { 70 const CeedScalar *u = in[0], *q_data = in[1]; 71 CeedScalar *v = out[0]; 72 73 // Quadrature Point Loop 74 CeedPragmaSIMD 75 for (CeedInt i=0; i<Q; i++) { 76 // Component 1 77 v[i+0*Q] = q_data[i] * u[i+0*Q]; 78 // Component 2 79 v[i+1*Q] = q_data[i] * u[i+1*Q]; 80 // Component 3 81 v[i+2*Q] = q_data[i] * u[i+2*Q]; 82 } // End of Quadrature Point Loop 83 84 return 0; 85 } 86 // ----------------------------------------------------------------------------- 87 88 #endif // bp2sphere_h 89