1*b6faaefaSjeremylt // Copyright (c) 2017-2018, Lawrence Livermore National Security, LLC. 2*b6faaefaSjeremylt // Produced at the Lawrence Livermore National Laboratory. LLNL-CODE-734707. 3*b6faaefaSjeremylt // All Rights reserved. See files LICENSE and NOTICE for details. 4*b6faaefaSjeremylt // 5*b6faaefaSjeremylt // This file is part of CEED, a collection of benchmarks, miniapps, software 6*b6faaefaSjeremylt // libraries and APIs for efficient high-order finite element and spectral 7*b6faaefaSjeremylt // element discretizations for exascale applications. For more information and 8*b6faaefaSjeremylt // source code availability see http://github.com/ceed. 9*b6faaefaSjeremylt // 10*b6faaefaSjeremylt // The CEED research is supported by the Exascale Computing Project 17-SC-20-SC, 11*b6faaefaSjeremylt // a collaborative effort of two U.S. Department of Energy organizations (Office 12*b6faaefaSjeremylt // of Science and the National Nuclear Security Administration) responsible for 13*b6faaefaSjeremylt // the planning and preparation of a capable exascale ecosystem, including 14*b6faaefaSjeremylt // software, applications, hardware, advanced system engineering and early 15*b6faaefaSjeremylt // testbed platforms, in support of the nation's exascale computing imperative. 16*b6faaefaSjeremylt 17*b6faaefaSjeremylt CEED_QFUNCTION(setup)(void *ctx, const CeedInt Q, 18*b6faaefaSjeremylt const CeedScalar *const *in, 19*b6faaefaSjeremylt CeedScalar *const *out) { 20*b6faaefaSjeremylt const CeedScalar *qw = in[0], *J = in[1]; 21*b6faaefaSjeremylt CeedScalar *qd = out[0]; 22*b6faaefaSjeremylt 23*b6faaefaSjeremylt for (CeedInt i=0; i<Q; i++) { 24*b6faaefaSjeremylt // Stored in Voigt convention 25*b6faaefaSjeremylt // J: 0 2 qd: 0 2 adj(J): J22 -J12 26*b6faaefaSjeremylt // 1 3 2 1 -J21 J11 27*b6faaefaSjeremylt const CeedScalar J11 = J[i+Q*0]; 28*b6faaefaSjeremylt const CeedScalar J21 = J[i+Q*1]; 29*b6faaefaSjeremylt const CeedScalar J12 = J[i+Q*2]; 30*b6faaefaSjeremylt const CeedScalar J22 = J[i+Q*3]; 31*b6faaefaSjeremylt const CeedScalar w = qw[i] / (J11*J22 - J21*J12); 32*b6faaefaSjeremylt qd[i+Q*0] = w * (J12*J12 + J22*J22); 33*b6faaefaSjeremylt qd[i+Q*1] = w * (J11*J11 + J21*J21); 34*b6faaefaSjeremylt qd[i+Q*2] = - w * (J11*J12 + J21*J22); 35*b6faaefaSjeremylt } // End of Quadrature Point Loop 36*b6faaefaSjeremylt return 0; 37*b6faaefaSjeremylt } 38*b6faaefaSjeremylt 39*b6faaefaSjeremylt CEED_QFUNCTION(diff)(void *ctx, const CeedInt Q, const CeedScalar *const *in, 40*b6faaefaSjeremylt CeedScalar *const *out) { 41*b6faaefaSjeremylt const CeedScalar *qd = in[0], *ug = in[1]; 42*b6faaefaSjeremylt CeedScalar *vg = out[0]; 43*b6faaefaSjeremylt 44*b6faaefaSjeremylt for (CeedInt i=0; i<Q; i++) { 45*b6faaefaSjeremylt // Read spatial derivatives of u 46*b6faaefaSjeremylt const CeedScalar du[2] = {ug[i+Q*0], 47*b6faaefaSjeremylt ug[i+Q*1] 48*b6faaefaSjeremylt }; 49*b6faaefaSjeremylt 50*b6faaefaSjeremylt // Read qdata (dXdxdXdxT symmetric matrix) 51*b6faaefaSjeremylt // Stored in Voigt convention 52*b6faaefaSjeremylt // 0 2 53*b6faaefaSjeremylt // 2 1 54*b6faaefaSjeremylt const CeedScalar dXdxdXdxT[2][2] = {{qd[i+0*Q], 55*b6faaefaSjeremylt qd[i+2*Q]}, 56*b6faaefaSjeremylt {qd[i+2*Q], 57*b6faaefaSjeremylt qd[i+1*Q]} 58*b6faaefaSjeremylt }; 59*b6faaefaSjeremylt // j = direction of vg 60*b6faaefaSjeremylt for (int j=0; j<2; j++) 61*b6faaefaSjeremylt vg[i+j*Q] = (du[0] * dXdxdXdxT[0][j] + 62*b6faaefaSjeremylt du[1] * dXdxdXdxT[1][j]); 63*b6faaefaSjeremylt } 64*b6faaefaSjeremylt return 0; 65*b6faaefaSjeremylt } 66