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 using PETSc 19 20 #ifndef bp1_h 21 #define bp1_h 22 #include <ceed.h> 23 24 #ifndef __CUDACC__ 25 # include <math.h> 26 #endif 27 28 // ***************************************************************************** 29 // This QFunction sets up the geometric factors required to apply the 30 // mass operator 31 // 32 // The quadrature data is stored in the array qdata. 33 // 34 // We require the determinant of the Jacobian to properly compute integrals of 35 // the form: int( u v ) 36 // 37 // Qdata: detJ * w 38 // 39 // ***************************************************************************** 40 41 // ----------------------------------------------------------------------------- 42 CEED_QFUNCTION(SetupMassGeo)(void *ctx, const CeedInt Q, 43 const CeedScalar *const *in, 44 CeedScalar *const *out) { 45 const CeedScalar *J = in[0], *w = in[1]; 46 CeedScalar *qdata = out[0]; 47 48 // Quadrature Point Loop 49 CeedPragmaSIMD 50 for (CeedInt i=0; i<Q; i++) { 51 const CeedScalar detJ = (J[i+Q*0]*(J[i+Q*4]*J[i+Q*8] - J[i+Q*5]*J[i+Q*7]) - 52 J[i+Q*1]*(J[i+Q*3]*J[i+Q*8] - J[i+Q*5]*J[i+Q*6]) + 53 J[i+Q*2]*(J[i+Q*3]*J[i+Q*7] - J[i+Q*4]*J[i+Q*6])); 54 qdata[i] = detJ * w[i]; 55 } // End of Quadrature Point Loop 56 return 0; 57 } 58 59 // ***************************************************************************** 60 // This QFunction sets up the rhs and true solution for the problem 61 // ***************************************************************************** 62 63 // ----------------------------------------------------------------------------- 64 CEED_QFUNCTION(SetupMassRhs)(void *ctx, const CeedInt Q, 65 const CeedScalar *const *in, 66 CeedScalar *const *out) { 67 const CeedScalar *x = in[0], *J = in[1], *w = in[2]; 68 CeedScalar *true_soln = out[0], *rhs = out[1]; 69 70 // Quadrature Point Loop 71 CeedPragmaSIMD 72 for (CeedInt i=0; i<Q; i++) { 73 const CeedScalar det = (J[i+Q*0]*(J[i+Q*4]*J[i+Q*8] - J[i+Q*5]*J[i+Q*7]) - 74 J[i+Q*1]*(J[i+Q*3]*J[i+Q*8] - J[i+Q*5]*J[i+Q*6]) + 75 J[i+Q*2]*(J[i+Q*3]*J[i+Q*7] - J[i+Q*4]*J[i+Q*6])); 76 77 true_soln[i] = sqrt(x[i]*x[i] + x[i+Q]*x[i+Q] + x[i+2*Q]*x[i+2*Q]); 78 79 rhs[i] = det * w[i] * true_soln[i]; 80 } // End of Quadrature Point Loop 81 return 0; 82 } 83 84 85 // ***************************************************************************** 86 // This QFunction applies the mass operator for a scalar field. 87 // 88 // Inputs: 89 // u - Input vector at quadrature points 90 // qdata - Geometric factors 91 // 92 // Output: 93 // v - Output vector (test functions) at quadrature points 94 // 95 // ***************************************************************************** 96 97 // ----------------------------------------------------------------------------- 98 CEED_QFUNCTION(Mass)(void *ctx, const CeedInt Q, 99 const CeedScalar *const *in, CeedScalar *const *out) { 100 const CeedScalar *u = in[0], *qdata = in[1]; 101 CeedScalar *v = out[0]; 102 103 // Quadrature Point Loop 104 CeedPragmaSIMD 105 for (CeedInt i=0; i<Q; i++) 106 v[i] = qdata[i] * u[i]; 107 108 return 0; 109 } 110 // ----------------------------------------------------------------------------- 111 112 #endif // bp1_h 113