1*9ba83ac0SJeremy L Thompson // Copyright (c) 2017-2026, Lawrence Livermore National Security, LLC and other CEED contributors. 23c11f1fcSJeremy L Thompson // All Rights Reserved. See the top-level LICENSE and NOTICE files for details. 33c11f1fcSJeremy L Thompson // 43c11f1fcSJeremy L Thompson // SPDX-License-Identifier: BSD-2-Clause 53c11f1fcSJeremy L Thompson // 63c11f1fcSJeremy L Thompson // This file is part of CEED: http://github.com/ceed 73c11f1fcSJeremy L Thompson 83c11f1fcSJeremy L Thompson /// @file 93c11f1fcSJeremy L Thompson /// libCEED QFunctions for diffusion operator example using PETSc 103c11f1fcSJeremy L Thompson 113c11f1fcSJeremy L Thompson #include <ceed/types.h> 123c11f1fcSJeremy L Thompson #ifndef CEED_RUNNING_JIT_PASS 133c11f1fcSJeremy L Thompson #include <math.h> 143c11f1fcSJeremy L Thompson #endif 153c11f1fcSJeremy L Thompson 163c11f1fcSJeremy L Thompson // ----------------------------------------------------------------------------- 173c11f1fcSJeremy L Thompson // This QFunction sets up the rhs and true solution for the problem 183c11f1fcSJeremy L Thompson // ----------------------------------------------------------------------------- 193c11f1fcSJeremy L Thompson CEED_QFUNCTION(SetupMassDiffRhs)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 203c11f1fcSJeremy L Thompson #ifndef M_PI 213c11f1fcSJeremy L Thompson #define M_PI 3.14159265358979323846 223c11f1fcSJeremy L Thompson #endif 233c11f1fcSJeremy L Thompson const CeedScalar *x = in[0], *w = in[1]; 243c11f1fcSJeremy L Thompson CeedScalar *true_soln = out[0], *rhs = out[1]; 253c11f1fcSJeremy L Thompson 263c11f1fcSJeremy L Thompson // Quadrature Point Loop 273c11f1fcSJeremy L Thompson CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 283c11f1fcSJeremy L Thompson const CeedScalar c[3] = {0, 1., 2.}; 293c11f1fcSJeremy L Thompson const CeedScalar k[3] = {1., 2., 3.}; 303c11f1fcSJeremy L Thompson 313c11f1fcSJeremy L Thompson true_soln[i] = sin(M_PI * (c[0] + k[0] * x[i + Q * 0])) * sin(M_PI * (c[1] + k[1] * x[i + Q * 1])) * sin(M_PI * (c[2] + k[2] * x[i + Q * 2])); 323c11f1fcSJeremy L Thompson 333c11f1fcSJeremy L Thompson rhs[i] = w[i + Q * 0] * (M_PI * M_PI * (k[0] * k[0] + k[1] * k[1] + k[2] * k[2]) + 1.0) * true_soln[i]; 343c11f1fcSJeremy L Thompson } // End of Quadrature Point Loop 353c11f1fcSJeremy L Thompson return 0; 363c11f1fcSJeremy L Thompson } 373c11f1fcSJeremy L Thompson 383c11f1fcSJeremy L Thompson // ----------------------------------------------------------------------------- 393c11f1fcSJeremy L Thompson // This QFunction applies the mass + diffusion operator for a scalar field. 403c11f1fcSJeremy L Thompson // 413c11f1fcSJeremy L Thompson // Inputs: 423c11f1fcSJeremy L Thompson // u - Input vector at quadrature points 433c11f1fcSJeremy L Thompson // ug - Input vector gradient at quadrature points 443c11f1fcSJeremy L Thompson // q_data - Geometric factors 453c11f1fcSJeremy L Thompson // 463c11f1fcSJeremy L Thompson // Output: 473c11f1fcSJeremy L Thompson // v - Output vector (test functions) at quadrature points 483c11f1fcSJeremy L Thompson // vg - Output vector (test functions) gradient at quadrature points 493c11f1fcSJeremy L Thompson // ----------------------------------------------------------------------------- 503c11f1fcSJeremy L Thompson CEED_QFUNCTION(MassDiff)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 513c11f1fcSJeremy L Thompson const CeedScalar *u = in[0], *ug = in[1], *q_data = in[2]; 523c11f1fcSJeremy L Thompson CeedScalar *v = out[0], *vg = out[1]; 533c11f1fcSJeremy L Thompson 543c11f1fcSJeremy L Thompson // Quadrature Point Loop 553c11f1fcSJeremy L Thompson CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 563c11f1fcSJeremy L Thompson // Read spatial derivatives of u 573c11f1fcSJeremy L Thompson const CeedScalar du[3] = {ug[i + Q * 0], ug[i + Q * 1], ug[i + Q * 2]}; 583c11f1fcSJeremy L Thompson // Read q_data (dXdxdXdx_T symmetric matrix) 593c11f1fcSJeremy L Thompson const CeedScalar dXdxdXdx_T[3][3] = { 603c11f1fcSJeremy L Thompson {q_data[i + 1 * Q], q_data[i + 2 * Q], q_data[i + 3 * Q]}, 613c11f1fcSJeremy L Thompson {q_data[i + 2 * Q], q_data[i + 4 * Q], q_data[i + 5 * Q]}, 623c11f1fcSJeremy L Thompson {q_data[i + 3 * Q], q_data[i + 5 * Q], q_data[i + 6 * Q]} 633c11f1fcSJeremy L Thompson }; 643c11f1fcSJeremy L Thompson 653c11f1fcSJeremy L Thompson // Mass 663c11f1fcSJeremy L Thompson v[i] = q_data[i + 0 * Q] * u[i]; 673c11f1fcSJeremy L Thompson // Diff 683c11f1fcSJeremy L Thompson for (int j = 0; j < 3; j++) { // j = direction of vg 693c11f1fcSJeremy L Thompson vg[i + j * Q] = (du[0] * dXdxdXdx_T[0][j] + du[1] * dXdxdXdx_T[1][j] + du[2] * dXdxdXdx_T[2][j]); 703c11f1fcSJeremy L Thompson } 713c11f1fcSJeremy L Thompson } // End of Quadrature Point Loop 723c11f1fcSJeremy L Thompson return 0; 733c11f1fcSJeremy L Thompson } 743c11f1fcSJeremy L Thompson // ----------------------------------------------------------------------------- 75