1 // Copyright (c) 2017, Lawrence Livermore National Security, LLC. Produced at 2 // the Lawrence Livermore National Laboratory. LLNL-CODE-734707. All Rights 3 // reserved. See files LICENSE and NOTICE for details. 4 // 5 // This file is part of CEED, a collection of benchmarks, miniapps, software 6 // libraries and APIs for efficient high-order finite element and spectral 7 // element discretizations for exascale applications. For more information and 8 // source code availability see http://github.com/ceed. 9 // 10 // The CEED research is supported by the Exascale Computing Project 17-SC-20-SC, 11 // a collaborative effort of two U.S. Department of Energy organizations (Office 12 // of Science and the National Nuclear Security Administration) responsible for 13 // the planning and preparation of a capable exascale ecosystem, including 14 // software, applications, hardware, advanced system engineering and early 15 // testbed platforms, in support of the nation's exascale computing imperative. 16 17 /// @file 18 /// libCEED QFunctions for mass operator example for a vector field on the sphere using PETSc 19 20 #ifndef bp2sphere_h 21 #define bp2sphere_h 22 23 #include <math.h> 24 25 // ----------------------------------------------------------------------------- 26 // This QFunction sets up the rhs and true solution for the problem 27 // ----------------------------------------------------------------------------- 28 CEED_QFUNCTION(SetupMassRhs3)(void *ctx, const CeedInt Q, 29 const CeedScalar *const *in, 30 CeedScalar *const *out) { 31 // Inputs 32 const CeedScalar *X = in[0], *q_data = in[1]; 33 // Outputs 34 CeedScalar *true_soln = out[0], *rhs = out[1]; 35 36 // Context 37 const CeedScalar *context = (const CeedScalar*)ctx; 38 const CeedScalar R = context[0]; 39 40 // Quadrature Point Loop 41 CeedPragmaSIMD 42 for (CeedInt i=0; i<Q; i++) { 43 // Compute latitude 44 const CeedScalar theta = asin(X[i+2*Q] / R); 45 46 // Use absolute value of latitude for true solution 47 // Component 1 48 true_soln[i+0*Q] = fabs(theta); 49 // Component 2 50 true_soln[i+1*Q] = 2 * true_soln[i+0*Q]; 51 // Component 3 52 true_soln[i+2*Q] = 3 * true_soln[i+0*Q]; 53 54 // Component 1 55 rhs[i+0*Q] = q_data[i] * true_soln[i]; 56 // Component 2 57 rhs[i+1*Q] = 2 * rhs[i+0*Q]; 58 // Component 3 59 rhs[i+2*Q] = 3 * rhs[i+0*Q]; 60 } // End of Quadrature Point Loop 61 62 return 0; 63 } 64 65 // ----------------------------------------------------------------------------- 66 // This QFunction applies the mass operator for a vector field of 3 components. 67 // 68 // Inputs: 69 // u - Input vector at quadrature points 70 // q_data - Geometric factors 71 // 72 // Output: 73 // v - Output vector (test functions) at quadrature points 74 // 75 // ----------------------------------------------------------------------------- 76 CEED_QFUNCTION(Mass3)(void *ctx, const CeedInt Q, 77 const CeedScalar *const *in, CeedScalar *const *out) { 78 const CeedScalar *u = in[0], *q_data = in[1]; 79 CeedScalar *v = out[0]; 80 81 // Quadrature Point Loop 82 CeedPragmaSIMD 83 for (CeedInt i=0; i<Q; i++) { 84 // Component 1 85 v[i+0*Q] = q_data[i] * u[i+0*Q]; 86 // Component 2 87 v[i+1*Q] = q_data[i] * u[i+1*Q]; 88 // Component 3 89 v[i+2*Q] = q_data[i] * u[i+2*Q]; 90 } // End of Quadrature Point Loop 91 92 return 0; 93 } 94 // ----------------------------------------------------------------------------- 95 96 #endif // bp2sphere_h 97