1 // Copyright (c) 2017-2022, Lawrence Livermore National Security, LLC and other CEED contributors. 2 // All Rights Reserved. See the top-level LICENSE and NOTICE files for details. 3 // 4 // SPDX-License-Identifier: BSD-2-Clause 5 // 6 // This file is part of CEED: http://github.com/ceed 7 8 /// @file 9 /// Geometric factors for solid mechanics example using PETSc 10 11 #ifndef COMMON_H 12 #define COMMON_H 13 14 #include <ceed.h> 15 16 // ----------------------------------------------------------------------------- 17 // This QFunction sets up the geometric factors required for integration and coordinate transformations 18 // 19 // Reference (parent) coordinates: X 20 // Physical (current) coordinates: x 21 // Change of coordinate matrix: dxdX_{i,j} = x_{i,j} (indicial notation) 22 // Inverse of change of coordinate matrix: dXdx_{i,j} = (detJ^-1) * X_{i,j} 23 // 24 // All quadrature data is stored in 10 field vector of quadrature data. 25 // 26 // We require the transpose of the inverse of the Jacobian to properly compute integrals of the form: int( gradv u ) 27 // 28 // Inverse of Jacobian: 29 // dXdx_i,j = Aij / detJ 30 // 31 // Stored: Aij / detJ 32 // in q_data[1:9] as 33 // [A11 A12 A13] 34 // (detJ^-1) * [A21 A22 A23] 35 // [A31 A32 A33] 36 // ----------------------------------------------------------------------------- 37 CEED_QFUNCTION(SetupGeo)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 38 // Inputs 39 const CeedScalar(*J)[3][CEED_Q_VLA] = (const CeedScalar(*)[3][CEED_Q_VLA])in[0], (*w) = in[1]; 40 41 // Outputs 42 CeedScalar(*q_data)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 43 44 CeedPragmaSIMD 45 // Quadrature Point Loop 46 for (CeedInt i = 0; i < Q; i++) { 47 // Setup 48 const CeedScalar J11 = J[0][0][i]; 49 const CeedScalar J21 = J[0][1][i]; 50 const CeedScalar J31 = J[0][2][i]; 51 const CeedScalar J12 = J[1][0][i]; 52 const CeedScalar J22 = J[1][1][i]; 53 const CeedScalar J32 = J[1][2][i]; 54 const CeedScalar J13 = J[2][0][i]; 55 const CeedScalar J23 = J[2][1][i]; 56 const CeedScalar J33 = J[2][2][i]; 57 const CeedScalar A11 = J22 * J33 - J23 * J32; 58 const CeedScalar A12 = J13 * J32 - J12 * J33; 59 const CeedScalar A13 = J12 * J23 - J13 * J22; 60 const CeedScalar A21 = J23 * J31 - J21 * J33; 61 const CeedScalar A22 = J11 * J33 - J13 * J31; 62 const CeedScalar A23 = J13 * J21 - J11 * J23; 63 const CeedScalar A31 = J21 * J32 - J22 * J31; 64 const CeedScalar A32 = J12 * J31 - J11 * J32; 65 const CeedScalar A33 = J11 * J22 - J12 * J21; 66 const CeedScalar detJ = J11 * A11 + J21 * A12 + J31 * A13; 67 68 // Qdata 69 // -- Interp-to-Interp q_data 70 q_data[0][i] = w[i] * detJ; 71 72 // -- Interp-to-Grad q_data 73 // Inverse of change of coordinate matrix: X_i,j 74 q_data[1][i] = A11 / detJ; 75 q_data[2][i] = A12 / detJ; 76 q_data[3][i] = A13 / detJ; 77 q_data[4][i] = A21 / detJ; 78 q_data[5][i] = A22 / detJ; 79 q_data[6][i] = A23 / detJ; 80 q_data[7][i] = A31 / detJ; 81 q_data[8][i] = A32 / detJ; 82 q_data[9][i] = A33 / detJ; 83 84 } // End of Quadrature Point Loop 85 86 return 0; 87 } 88 // ----------------------------------------------------------------------------- 89 90 #endif // End of COMMON_H 91