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 31 // ----------------------------------------------------------------------------- 32 CEED_QFUNCTION(SetupMassRhs3)(void *ctx, const CeedInt Q, 33 const CeedScalar *const *in, 34 CeedScalar *const *out) { 35 // Inputs 36 const CeedScalar *X = in[0], *qdata = in[1]; 37 // Outputs 38 CeedScalar *true_soln = out[0], *rhs = out[1]; 39 40 // Context 41 const CeedScalar *context = (const CeedScalar*)ctx; 42 const CeedScalar R = context[0]; 43 44 // Quadrature Point Loop 45 CeedPragmaSIMD 46 for (CeedInt i=0; i<Q; i++) { 47 // Compute latitude 48 const CeedScalar theta = asin(X[i+2*Q] / R); 49 50 // Use absolute value of latitute for true solution 51 // Component 1 52 true_soln[i+0*Q] = fabs(theta); 53 // Component 2 54 true_soln[i+1*Q] = 2 * true_soln[i+0*Q]; 55 // Component 3 56 true_soln[i+2*Q] = 3 * true_soln[i+0*Q]; 57 58 // Component 1 59 rhs[i+0*Q] = qdata[i] * true_soln[i]; 60 // Component 2 61 rhs[i+1*Q] = 2 * rhs[i+0*Q]; 62 // Component 3 63 rhs[i+2*Q] = 3 * rhs[i+0*Q]; 64 } // End of Quadrature Point Loop 65 66 return 0; 67 } 68 69 // ***************************************************************************** 70 // This QFunction applies the mass operator for a vector field of 3 components. 71 // 72 // Inputs: 73 // u - Input vector at quadrature points 74 // qdata - Geometric factors 75 // 76 // Output: 77 // v - Output vector (test functions) at quadrature points 78 // 79 // ***************************************************************************** 80 81 // ----------------------------------------------------------------------------- 82 CEED_QFUNCTION(Mass3)(void *ctx, const CeedInt Q, 83 const CeedScalar *const *in, CeedScalar *const *out) { 84 const CeedScalar *u = in[0], *qdata = in[1]; 85 CeedScalar *v = out[0]; 86 87 // Quadrature Point Loop 88 CeedPragmaSIMD 89 for (CeedInt i=0; i<Q; i++) { 90 const CeedScalar r = qdata[i]; 91 // Component 1 92 v[i+0*Q] = r * u[i+0*Q]; 93 // Component 2 94 v[i+1*Q] = r * u[i+1*Q]; 95 // Component 3 96 v[i+2*Q] = r * u[i+2*Q]; 97 } // End of Quadrature Point Loop 98 99 return 0; 100 } 101 // ----------------------------------------------------------------------------- 102 103 #endif // bp2sphere_h 104