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