1*3c11f1fcSJeremy L Thompson // Copyright (c) 2017-2025, Lawrence Livermore National Security, LLC and other CEED contributors. 2*3c11f1fcSJeremy L Thompson // All Rights Reserved. See the top-level LICENSE and NOTICE files for details. 3*3c11f1fcSJeremy L Thompson // 4*3c11f1fcSJeremy L Thompson // SPDX-License-Identifier: BSD-2-Clause 5*3c11f1fcSJeremy L Thompson // 6*3c11f1fcSJeremy L Thompson // This file is part of CEED: http://github.com/ceed 7*3c11f1fcSJeremy L Thompson 8*3c11f1fcSJeremy L Thompson /// @file 9*3c11f1fcSJeremy L Thompson /// libCEED QFunctions for diffusion operator example using PETSc 10*3c11f1fcSJeremy L Thompson 11*3c11f1fcSJeremy L Thompson #include <ceed/types.h> 12*3c11f1fcSJeremy L Thompson #ifndef CEED_RUNNING_JIT_PASS 13*3c11f1fcSJeremy L Thompson #include <math.h> 14*3c11f1fcSJeremy L Thompson #endif 15*3c11f1fcSJeremy L Thompson 16*3c11f1fcSJeremy L Thompson // ----------------------------------------------------------------------------- 17*3c11f1fcSJeremy L Thompson // This QFunction sets up the rhs and true solution for the problem 18*3c11f1fcSJeremy L Thompson // ----------------------------------------------------------------------------- 19*3c11f1fcSJeremy L Thompson CEED_QFUNCTION(SetupMassDiffRhs)(void *ctx, const CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 20*3c11f1fcSJeremy L Thompson #ifndef M_PI 21*3c11f1fcSJeremy L Thompson #define M_PI 3.14159265358979323846 22*3c11f1fcSJeremy L Thompson #endif 23*3c11f1fcSJeremy L Thompson const CeedScalar *x = in[0], *w = in[1]; 24*3c11f1fcSJeremy L Thompson CeedScalar *true_soln = out[0], *rhs = out[1]; 25*3c11f1fcSJeremy L Thompson 26*3c11f1fcSJeremy L Thompson // Quadrature Point Loop 27*3c11f1fcSJeremy L Thompson CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 28*3c11f1fcSJeremy L Thompson const CeedScalar c[3] = {0, 1., 2.}; 29*3c11f1fcSJeremy L Thompson const CeedScalar k[3] = {1., 2., 3.}; 30*3c11f1fcSJeremy L Thompson 31*3c11f1fcSJeremy 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])); 32*3c11f1fcSJeremy L Thompson 33*3c11f1fcSJeremy 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]; 34*3c11f1fcSJeremy L Thompson } // End of Quadrature Point Loop 35*3c11f1fcSJeremy L Thompson return 0; 36*3c11f1fcSJeremy L Thompson } 37*3c11f1fcSJeremy L Thompson 38*3c11f1fcSJeremy L Thompson // ----------------------------------------------------------------------------- 39*3c11f1fcSJeremy L Thompson // This QFunction applies the mass + diffusion operator for a scalar field. 40*3c11f1fcSJeremy L Thompson // 41*3c11f1fcSJeremy L Thompson // Inputs: 42*3c11f1fcSJeremy L Thompson // u - Input vector at quadrature points 43*3c11f1fcSJeremy L Thompson // ug - Input vector gradient at quadrature points 44*3c11f1fcSJeremy L Thompson // q_data - Geometric factors 45*3c11f1fcSJeremy L Thompson // 46*3c11f1fcSJeremy L Thompson // Output: 47*3c11f1fcSJeremy L Thompson // v - Output vector (test functions) at quadrature points 48*3c11f1fcSJeremy L Thompson // vg - Output vector (test functions) gradient at quadrature points 49*3c11f1fcSJeremy L Thompson // ----------------------------------------------------------------------------- 50*3c11f1fcSJeremy L Thompson CEED_QFUNCTION(MassDiff)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 51*3c11f1fcSJeremy L Thompson const CeedScalar *u = in[0], *ug = in[1], *q_data = in[2]; 52*3c11f1fcSJeremy L Thompson CeedScalar *v = out[0], *vg = out[1]; 53*3c11f1fcSJeremy L Thompson 54*3c11f1fcSJeremy L Thompson // Quadrature Point Loop 55*3c11f1fcSJeremy L Thompson CeedPragmaSIMD for (CeedInt i = 0; i < Q; i++) { 56*3c11f1fcSJeremy L Thompson // Read spatial derivatives of u 57*3c11f1fcSJeremy L Thompson const CeedScalar du[3] = {ug[i + Q * 0], ug[i + Q * 1], ug[i + Q * 2]}; 58*3c11f1fcSJeremy L Thompson // Read q_data (dXdxdXdx_T symmetric matrix) 59*3c11f1fcSJeremy L Thompson const CeedScalar dXdxdXdx_T[3][3] = { 60*3c11f1fcSJeremy L Thompson {q_data[i + 1 * Q], q_data[i + 2 * Q], q_data[i + 3 * Q]}, 61*3c11f1fcSJeremy L Thompson {q_data[i + 2 * Q], q_data[i + 4 * Q], q_data[i + 5 * Q]}, 62*3c11f1fcSJeremy L Thompson {q_data[i + 3 * Q], q_data[i + 5 * Q], q_data[i + 6 * Q]} 63*3c11f1fcSJeremy L Thompson }; 64*3c11f1fcSJeremy L Thompson 65*3c11f1fcSJeremy L Thompson // Mass 66*3c11f1fcSJeremy L Thompson v[i] = q_data[i + 0 * Q] * u[i]; 67*3c11f1fcSJeremy L Thompson // Diff 68*3c11f1fcSJeremy L Thompson for (int j = 0; j < 3; j++) { // j = direction of vg 69*3c11f1fcSJeremy L Thompson vg[i + j * Q] = (du[0] * dXdxdXdx_T[0][j] + du[1] * dXdxdXdx_T[1][j] + du[2] * dXdxdXdx_T[2][j]); 70*3c11f1fcSJeremy L Thompson } 71*3c11f1fcSJeremy L Thompson } // End of Quadrature Point Loop 72*3c11f1fcSJeremy L Thompson return 0; 73*3c11f1fcSJeremy L Thompson } 74*3c11f1fcSJeremy L Thompson // ----------------------------------------------------------------------------- 75