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 /// Geometric factors for solid mechanics example using PETSc 19 20 #ifndef COMMON_H 21 #define COMMON_H 22 #include <ceed.h> 23 24 // ----------------------------------------------------------------------------- 25 // This QFunction sets up the geometric factors required for integration and 26 // coordinate transformations 27 // 28 // Reference (parent) coordinates: X 29 // Physical (current) coordinates: x 30 // Change of coordinate matrix: dxdX_{i,j} = x_{i,j} (indicial notation) 31 // Inverse of change of coordinate matrix: dXdx_{i,j} = (detJ^-1) * X_{i,j} 32 // 33 // All quadrature data is stored in 10 field vector of quadrature data. 34 // 35 // We require the transpose of the inverse of the Jacobian to properly compute 36 // integrals of the form: int( gradv u ) 37 // 38 // Inverse of Jacobian: 39 // dXdx_i,j = Aij / detJ 40 // 41 // Stored: Aij / detJ 42 // in qdata[1:9] as 43 // [A11 A12 A13] 44 // (detJ^-1) * [A21 A22 A23] 45 // [A31 A32 A33] 46 // 47 // ----------------------------------------------------------------------------- 48 CEED_QFUNCTION(SetupGeo)(void *ctx, CeedInt Q, const CeedScalar *const *in, 49 CeedScalar *const *out) { 50 // *INDENT-OFF* 51 // Inputs 52 const CeedScalar (*J)[3][CEED_Q_VLA] = (const CeedScalar(*)[3][CEED_Q_VLA])in[0], 53 (*w) = in[1]; 54 55 // Outputs 56 CeedScalar (*qdata)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 57 // *INDENT-ON* 58 59 CeedPragmaSIMD 60 // Quadrature Point Loop 61 for (CeedInt i=0; i<Q; i++) { 62 // Setup 63 const CeedScalar J11 = J[0][0][i]; 64 const CeedScalar J21 = J[0][1][i]; 65 const CeedScalar J31 = J[0][2][i]; 66 const CeedScalar J12 = J[1][0][i]; 67 const CeedScalar J22 = J[1][1][i]; 68 const CeedScalar J32 = J[1][2][i]; 69 const CeedScalar J13 = J[2][0][i]; 70 const CeedScalar J23 = J[2][1][i]; 71 const CeedScalar J33 = J[2][2][i]; 72 const CeedScalar A11 = J22*J33 - J23*J32; 73 const CeedScalar A12 = J13*J32 - J12*J33; 74 const CeedScalar A13 = J12*J23 - J13*J22; 75 const CeedScalar A21 = J23*J31 - J21*J33; 76 const CeedScalar A22 = J11*J33 - J13*J31; 77 const CeedScalar A23 = J13*J21 - J11*J23; 78 const CeedScalar A31 = J21*J32 - J22*J31; 79 const CeedScalar A32 = J12*J31 - J11*J32; 80 const CeedScalar A33 = J11*J22 - J12*J21; 81 const CeedScalar detJ = J11*A11 + J21*A12 + J31*A13; 82 83 // Qdata 84 // -- Interp-to-Interp qdata 85 qdata[0][i] = w[i] * detJ; 86 87 // -- Interp-to-Grad qdata 88 // Inverse of change of coordinate matrix: X_i,j 89 qdata[1][i] = A11 / detJ; 90 qdata[2][i] = A12 / detJ; 91 qdata[3][i] = A13 / detJ; 92 qdata[4][i] = A21 / detJ; 93 qdata[5][i] = A22 / detJ; 94 qdata[6][i] = A23 / detJ; 95 qdata[7][i] = A31 / detJ; 96 qdata[8][i] = A32 / detJ; 97 qdata[9][i] = A33 / detJ; 98 99 } // End of Quadrature Point Loop 100 101 return 0; 102 } 103 // ----------------------------------------------------------------------------- 104 105 #endif // End of COMMON_H 106