1a0154adeSJed Brown // Copyright (c) 2017-2022, Lawrence Livermore National Security, LLC and other CEED contributors. 2a0154adeSJed Brown // All Rights Reserved. See the top-level LICENSE and NOTICE files for details. 3a0154adeSJed Brown // 4a0154adeSJed Brown // SPDX-License-Identifier: BSD-2-Clause 5a0154adeSJed Brown // 6a0154adeSJed Brown // This file is part of CEED: http://github.com/ceed 7a0154adeSJed Brown 8a0154adeSJed Brown /** 9a0154adeSJed Brown @brief Ceed QFunction for building the geometric data for the 3D Poisson 10a0154adeSJed Brown operator 11a0154adeSJed Brown **/ 12a0154adeSJed Brown 13a0154adeSJed Brown #ifndef poisson3dbuild_h 14a0154adeSJed Brown #define poisson3dbuild_h 15a0154adeSJed Brown 16a0154adeSJed Brown CEED_QFUNCTION(Poisson3DBuild)(void *ctx, const CeedInt Q, 17a0154adeSJed Brown const CeedScalar *const *in, 18a0154adeSJed Brown CeedScalar *const *out) { 19a0154adeSJed Brown // At every quadrature point, compute w/det(J).adj(J).adj(J)^T and store 20a0154adeSJed Brown // the symmetric part of the result. 21a0154adeSJed Brown // *INDENT-OFF* 22a0154adeSJed Brown // in[0] is Jacobians with shape [3, nc=3, Q] 23a0154adeSJed Brown // in[1] is quadrature weights, size (Q) 24a0154adeSJed Brown const CeedScalar (*J)[3][CEED_Q_VLA] = (const CeedScalar(*)[3][CEED_Q_VLA])in[0], 25a0154adeSJed Brown *w = in[1]; 26a0154adeSJed Brown // out[0] is qdata, size (6*Q) 27a0154adeSJed Brown CeedScalar (*q_data)[CEED_Q_VLA] = (CeedScalar(*)[CEED_Q_VLA])out[0]; 28a0154adeSJed Brown // *INDENT-ON* 29a0154adeSJed Brown 30a0154adeSJed Brown const CeedInt dim = 3; 31a0154adeSJed Brown 32a0154adeSJed Brown // Quadrature point loop 33a0154adeSJed Brown CeedPragmaSIMD 34a0154adeSJed Brown for (CeedInt i=0; i<Q; i++) { 35a0154adeSJed Brown // Compute the adjoint 36a0154adeSJed Brown CeedScalar A[3][3]; 37a0154adeSJed Brown for (CeedInt j=0; j<dim; j++) 38a0154adeSJed Brown for (CeedInt k=0; k<dim; k++) 39a0154adeSJed Brown // Equivalent code with no mod operations: 40a0154adeSJed Brown // A[k][j] = J[k+1][j+1]*J[k+2][j+2] - J[k+2][j+1]*J[k+1][j+2] 41a0154adeSJed Brown A[k][j] = J[(k+1)%dim][(j+1)%dim][i]*J[(k+2)%dim][(j+2)%dim][i] - 42a0154adeSJed Brown J[(k+2)%dim][(j+1)%dim][i]*J[(k+1)%dim][(j+2)%dim][i]; 43a0154adeSJed Brown 44a0154adeSJed Brown // Compute quadrature weight / det(J) 45*121d4b7fSJeremy L Thompson const CeedScalar qw = w[i] / (J[0][0][i]*A[0][0] + J[0][1][i]*A[0][1] + 46*121d4b7fSJeremy L Thompson J[0][2][i]*A[0][2]); 47a0154adeSJed Brown 48a0154adeSJed Brown // Compute geometric factors 49a0154adeSJed Brown // Stored in Voigt convention 50a0154adeSJed Brown // 0 5 4 51a0154adeSJed Brown // 5 1 3 52a0154adeSJed Brown // 4 3 2 53a0154adeSJed Brown q_data[0][i] = qw * (A[0][0]*A[0][0] + A[0][1]*A[0][1] + A[0][2]*A[0][2]); 54a0154adeSJed Brown q_data[1][i] = qw * (A[1][0]*A[1][0] + A[1][1]*A[1][1] + A[1][2]*A[1][2]); 55a0154adeSJed Brown q_data[2][i] = qw * (A[2][0]*A[2][0] + A[2][1]*A[2][1] + A[2][2]*A[2][2]); 56a0154adeSJed Brown q_data[3][i] = qw * (A[1][0]*A[2][0] + A[1][1]*A[2][1] + A[1][2]*A[2][2]); 57a0154adeSJed Brown q_data[4][i] = qw * (A[0][0]*A[2][0] + A[0][1]*A[2][1] + A[0][2]*A[2][2]); 58a0154adeSJed Brown q_data[5][i] = qw * (A[0][0]*A[1][0] + A[0][1]*A[1][1] + A[0][2]*A[1][2]); 59a0154adeSJed Brown } // End of Quadrature Point Loop 60a0154adeSJed Brown 61a0154adeSJed Brown return CEED_ERROR_SUCCESS; 62a0154adeSJed Brown } 63a0154adeSJed Brown 64a0154adeSJed Brown #endif // poisson3dbuild_h 65