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