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 diffusion operator example using PETSc 19 20 // ***************************************************************************** 21 // This QFunction sets up the rhs and true solution for the problem 22 // ***************************************************************************** 23 24 #ifndef bp4_h 25 #define bp4_h 26 #include <ceed.h> 27 28 #ifndef __CUDACC__ 29 # include <math.h> 30 #endif 31 32 // ----------------------------------------------------------------------------- 33 CEED_QFUNCTION(SetupDiffRhs3)(void *ctx, CeedInt Q, 34 const CeedScalar *const *in, 35 CeedScalar *const *out) { 36 #ifndef M_PI 37 # define M_PI 3.14159265358979323846 38 #endif 39 const CeedScalar *x = in[0], *J = in[1], *w = in[2]; 40 CeedScalar *true_soln = out[0], *rhs = out[1]; 41 42 // Quadrature Point Loop 43 CeedPragmaSIMD 44 for (CeedInt i=0; i<Q; i++) { 45 const CeedScalar J11 = J[i+Q*0]; 46 const CeedScalar J21 = J[i+Q*1]; 47 const CeedScalar J31 = J[i+Q*2]; 48 const CeedScalar J12 = J[i+Q*3]; 49 const CeedScalar J22 = J[i+Q*4]; 50 const CeedScalar J32 = J[i+Q*5]; 51 const CeedScalar J13 = J[i+Q*6]; 52 const CeedScalar J23 = J[i+Q*7]; 53 const CeedScalar J33 = J[i+Q*8]; 54 const CeedScalar A11 = J22*J33 - J23*J32; 55 const CeedScalar A12 = J13*J32 - J12*J33; 56 const CeedScalar A13 = J12*J23 - J13*J22; 57 58 const CeedScalar c[3] = { 0, 1., 2. }; 59 const CeedScalar k[3] = { 1., 2., 3. }; 60 61 // Component 1 62 true_soln[i+0*Q] = sin(M_PI*(c[0] + k[0]*x[i+Q*0])) * 63 sin(M_PI*(c[1] + k[1]*x[i+Q*1])) * 64 sin(M_PI*(c[2] + k[2]*x[i+Q*2])); 65 // Component 2 66 true_soln[i+1*Q] = 2 * true_soln[i+0*Q]; 67 // Component 3 68 true_soln[i+2*Q] = 3 * true_soln[i+0*Q]; 69 70 const CeedScalar rho = w[i] * (J11*A11 + J21*A12 + J31*A13); 71 // Component 1 72 rhs[i+0*Q] = rho * M_PI*M_PI * (k[0]*k[0] + k[1]*k[1] + k[2]*k[2]) * 73 true_soln[i+0*Q]; 74 // Component 2 75 rhs[i+1*Q] = 2 * rhs[i+0*Q]; 76 // Component 3 77 rhs[i+2*Q] = 3 * rhs[i+0*Q]; 78 } // End of Quadrature Point Loop 79 80 return 0; 81 } 82 83 // ***************************************************************************** 84 // This QFunction applies the diffusion operator for a vector field of 3 components. 85 // 86 // Inputs: 87 // ug - Input vector Jacobian at quadrature points 88 // qdata - Geometric factors 89 // 90 // Output: 91 // vJ - Output vector (test functions) Jacobian at quadrature points 92 // 93 // ***************************************************************************** 94 95 // ----------------------------------------------------------------------------- 96 CEED_QFUNCTION(Diff3)(void *ctx, CeedInt Q, 97 const CeedScalar *const *in, CeedScalar *const *out) { 98 const CeedScalar *ug = in[0], *qd = in[1]; 99 CeedScalar *vg = out[0]; 100 101 // Quadrature Point Loop 102 CeedPragmaSIMD 103 for (CeedInt i=0; i<Q; i++) { 104 // Read spatial derivatives of u components 105 const CeedScalar uJ[3][3] = {{ug[i+(0+0*3)*Q], 106 ug[i+(0+1*3)*Q], 107 ug[i+(0+2*3)*Q]}, 108 {ug[i+(1+0*3)*Q], 109 ug[i+(1+1*3)*Q], 110 ug[i+(1+2*3)*Q]}, 111 {ug[i+(2+0*3)*Q], 112 ug[i+(2+1*3)*Q], 113 ug[i+(2+2*3)*Q]} 114 }; 115 // Read qdata (dXdxdXdxT symmetric matrix) 116 const CeedScalar dXdxdXdxT[3][3] = {{qd[i+0*Q], 117 qd[i+1*Q], 118 qd[i+2*Q]}, 119 {qd[i+1*Q], 120 qd[i+3*Q], 121 qd[i+4*Q]}, 122 {qd[i+2*Q], 123 qd[i+4*Q], 124 qd[i+5*Q]} 125 }; 126 127 for (int k=0; k<3; k++) // k = component 128 for (int j=0; j<3; j++) // j = direction of vg 129 vg[i+(k+j*3)*Q] = (uJ[k][0] * dXdxdXdxT[0][j] + 130 uJ[k][1] * dXdxdXdxT[1][j] + 131 uJ[k][2] * dXdxdXdxT[2][j]); 132 } // End of Quadrature Point Loop 133 134 return 0; 135 } 136 // ----------------------------------------------------------------------------- 137 138 #endif // bp4_h 139