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 #ifndef __CUDACC__ 24 # include <math.h> 25 #endif 26 27 // ----------------------------------------------------------------------------- 28 // This QFunction sets up the rhs and true solution for the problem 29 // ----------------------------------------------------------------------------- 30 CEED_QFUNCTION(SetupMassRhs3)(void *ctx, const CeedInt Q, 31 const CeedScalar *const *in, 32 CeedScalar *const *out) { 33 // Inputs 34 const CeedScalar *X = in[0], *q_data = in[1]; 35 // Outputs 36 CeedScalar *true_soln = out[0], *rhs = out[1]; 37 38 // Context 39 const CeedScalar *context = (const CeedScalar*)ctx; 40 const CeedScalar R = context[0]; 41 42 // Quadrature Point Loop 43 CeedPragmaSIMD 44 for (CeedInt i=0; i<Q; i++) { 45 // Compute latitude 46 const CeedScalar theta = asin(X[i+2*Q] / R); 47 48 // Use absolute value of latitude for true solution 49 // Component 1 50 true_soln[i+0*Q] = fabs(theta); 51 // Component 2 52 true_soln[i+1*Q] = 2 * true_soln[i+0*Q]; 53 // Component 3 54 true_soln[i+2*Q] = 3 * true_soln[i+0*Q]; 55 56 // Component 1 57 rhs[i+0*Q] = q_data[i] * true_soln[i]; 58 // Component 2 59 rhs[i+1*Q] = 2 * rhs[i+0*Q]; 60 // Component 3 61 rhs[i+2*Q] = 3 * rhs[i+0*Q]; 62 } // End of Quadrature Point Loop 63 64 return 0; 65 } 66 67 // ----------------------------------------------------------------------------- 68 // This QFunction applies the mass operator for a vector field of 3 components. 69 // 70 // Inputs: 71 // u - Input vector at quadrature points 72 // q_data - Geometric factors 73 // 74 // Output: 75 // v - Output vector (test functions) at quadrature points 76 // 77 // ----------------------------------------------------------------------------- 78 CEED_QFUNCTION(Mass3)(void *ctx, const CeedInt Q, 79 const CeedScalar *const *in, CeedScalar *const *out) { 80 const CeedScalar *u = in[0], *q_data = in[1]; 81 CeedScalar *v = out[0]; 82 83 // Quadrature Point Loop 84 CeedPragmaSIMD 85 for (CeedInt i=0; i<Q; i++) { 86 // Component 1 87 v[i+0*Q] = q_data[i] * u[i+0*Q]; 88 // Component 2 89 v[i+1*Q] = q_data[i] * u[i+1*Q]; 90 // Component 3 91 v[i+2*Q] = q_data[i] * u[i+2*Q]; 92 } // End of Quadrature Point Loop 93 94 return 0; 95 } 96 // ----------------------------------------------------------------------------- 97 98 #endif // bp2sphere_h 99