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 rhs and true solution for the problem 26 // ***************************************************************************** 27 28 // ----------------------------------------------------------------------------- 29 CEED_QFUNCTION(SetupMassRhs3)(void *ctx, const CeedInt Q, 30 const CeedScalar *const *in, 31 CeedScalar *const *out) { 32 const CeedScalar *x = in[0], *J = in[1], *w = in[2]; 33 CeedScalar *true_soln = out[0], *rhs = out[1]; 34 35 // Quadrature Point Loop 36 CeedPragmaSIMD 37 for (CeedInt i=0; i<Q; i++) { 38 const CeedScalar detJ = (J[i+Q*0]*(J[i+Q*4]*J[i+Q*8] - J[i+Q*5]*J[i+Q*7]) - 39 J[i+Q*1]*(J[i+Q*3]*J[i+Q*8] - J[i+Q*5]*J[i+Q*6]) + 40 J[i+Q*2]*(J[i+Q*3]*J[i+Q*7] - J[i+Q*4]*J[i+Q*6])); 41 42 // Component 1 43 true_soln[i+0*Q] = sqrt(x[i]*x[i] + x[i+Q]*x[i+Q] + x[i+2*Q]*x[i+2*Q]); 44 // Component 2 45 true_soln[i+1*Q] = 2 * true_soln[i+0*Q]; 46 // Component 3 47 true_soln[i+2*Q] = 3 * true_soln[i+0*Q]; 48 49 // Component 1 50 rhs[i+0*Q] = detJ * w[i] * true_soln[i+0*Q]; 51 // Component 2 52 rhs[i+1*Q] = 2 * rhs[i+0*Q]; 53 // Component 3 54 rhs[i+2*Q] = 3 * rhs[i+0*Q]; 55 } // End of Quadrature Point Loop 56 return 0; 57 } 58 59 // ***************************************************************************** 60 // This QFunction applies the mass operator for a vector field of 3 components. 61 // 62 // Inputs: 63 // u - Input vector at quadrature points 64 // qdata - Geometric factors 65 // 66 // Output: 67 // v - Output vector (test functions) at quadrature points 68 // 69 // ***************************************************************************** 70 71 // ----------------------------------------------------------------------------- 72 CEED_QFUNCTION(Mass3)(void *ctx, const CeedInt Q, 73 const CeedScalar *const *in, CeedScalar *const *out) { 74 const CeedScalar *u = in[0], *qdata = in[1]; 75 CeedScalar *v = out[0]; 76 77 // Quadrature Point Loop 78 CeedPragmaSIMD 79 for (CeedInt i=0; i<Q; i++) { 80 const CeedScalar r = qdata[i]; 81 // Component 1 82 v[i+0*Q] = r * u[i+0*Q]; 83 // Component 2 84 v[i+1*Q] = r * u[i+1*Q]; 85 // Component 3 86 v[i+2*Q] = r * u[i+2*Q]; 87 } // End of Quadrature Point Loop 88 return 0; 89 } 90 // ----------------------------------------------------------------------------- 91