1 // Copyright (c) 2017-2018, Lawrence Livermore National Security, LLC. 2 // Produced at the Lawrence Livermore National Laboratory. LLNL-CODE-734707. 3 // All Rights reserved. See files LICENSE and NOTICE for details. 4 // 5 // This file is part of CEED, a collection of benchmarks, miniapps, software 6 // libraries and APIs for efficient high-order finite element and spectral 7 // element discretizations for exascale applications. For more information and 8 // source code availability see http://github.com/ceed. 9 // 10 // The CEED research is supported by the Exascale Computing Project 17-SC-20-SC, 11 // a collaborative effort of two U.S. Department of Energy organizations (Office 12 // of Science and the National Nuclear Security Administration) responsible for 13 // the planning and preparation of a capable exascale ecosystem, including 14 // software, applications, hardware, advanced system engineering and early 15 // testbed platforms, in support of the nation's exascale computing imperative. 16 17 #ifndef __CUDACC__ 18 # include <math.h> 19 #endif 20 21 // ***************************************************************************** 22 // BP 1 23 // ***************************************************************************** 24 CEED_QFUNCTION(masssetupf)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 25 CeedScalar *rho = out[0], *rhs = out[1]; 26 const CeedScalar *x = in[0]; 27 const CeedScalar *J = in[1]; 28 const CeedScalar *w = in[2]; 29 for (CeedInt i=0; i<Q; i++) { 30 CeedScalar det = (J[i+Q*0]*(J[i+Q*4]*J[i+Q*8] - J[i+Q*5]*J[i+Q*7]) - 31 J[i+Q*1]*(J[i+Q*3]*J[i+Q*8] - J[i+Q*5]*J[i+Q*6]) + 32 J[i+Q*2]*(J[i+Q*3]*J[i+Q*7] - J[i+Q*4]*J[i+Q*6])); 33 rho[i] = det * w[i]; 34 rhs[i] = rho[i] * w[i] * 35 sqrt(x[i]*x[i] + x[i+Q]*x[i+Q] + x[i+2*Q]*x[i+2*Q]); 36 } 37 return 0; 38 } 39 40 CEED_QFUNCTION int massf(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 41 const CeedScalar *u = in[0]; 42 const CeedScalar *rho = in[1]; 43 CeedScalar *v = out[0]; 44 for (CeedInt i=0; i<Q; i++) { 45 v[i] = rho[i] * u[i]; 46 } 47 return 0; 48 } 49 // ***************************************************************************** 50 // BP 3 51 // ***************************************************************************** 52 CEED_QFUNCTION(diffsetupf)(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 53 #ifndef M_PI 54 #define M_PI 3.14159265358979323846 55 #endif 56 const CeedScalar *x = in[0]; 57 const CeedScalar *J = in[1]; 58 const CeedScalar *w = in[2]; 59 CeedScalar *qd = out[0], *rhs = out[1]; 60 for (CeedInt i=0; i<Q; i++) { 61 const CeedScalar J11 = J[i+Q*0]; 62 const CeedScalar J21 = J[i+Q*1]; 63 const CeedScalar J31 = J[i+Q*2]; 64 const CeedScalar J12 = J[i+Q*3]; 65 const CeedScalar J22 = J[i+Q*4]; 66 const CeedScalar J32 = J[i+Q*5]; 67 const CeedScalar J13 = J[i+Q*6]; 68 const CeedScalar J23 = J[i+Q*7]; 69 const CeedScalar J33 = J[i+Q*8]; 70 const CeedScalar A11 = J22*J33 - J23*J32; 71 const CeedScalar A12 = J13*J32 - J12*J33; 72 const CeedScalar A13 = J12*J23 - J13*J22; 73 const CeedScalar A21 = J23*J31 - J21*J33; 74 const CeedScalar A22 = J11*J33 - J13*J31; 75 const CeedScalar A23 = J13*J21 - J11*J23; 76 const CeedScalar A31 = J21*J32 - J22*J31; 77 const CeedScalar A32 = J12*J31 - J11*J32; 78 const CeedScalar A33 = J11*J22 - J12*J21; 79 const CeedScalar qw = w[i] / (J11*A11 + J21*A12 + J31*A13); 80 qd[i+Q*0] = qw * (A11*A11 + A12*A12 + A13*A13); 81 qd[i+Q*1] = qw * (A11*A21 + A12*A22 + A13*A23); 82 qd[i+Q*2] = qw * (A11*A31 + A12*A32 + A13*A33); 83 qd[i+Q*3] = qw * (A21*A21 + A22*A22 + A23*A23); 84 qd[i+Q*4] = qw * (A21*A31 + A22*A32 + A23*A33); 85 qd[i+Q*5] = qw * (A31*A31 + A32*A32 + A33*A33); 86 const CeedScalar c[3] = { 0, 1., 2. }; 87 const CeedScalar k[3] = { 1., 2., 3. }; 88 const CeedScalar rho = w[i] * (J11*A11 + J21*A12 + J31*A13); 89 rhs[i] = rho * M_PI*M_PI * (k[0]*k[0] + k[1]*k[1] + k[2]*k[2]) * 90 sin(M_PI*(c[0] + k[0]*x[i+Q*0])) * 91 sin(M_PI*(c[1] + k[1]*x[i+Q*1])) * 92 sin(M_PI*(c[2] + k[2]*x[i+Q*2])); 93 } 94 return 0; 95 } 96 97 CEED_QFUNCTION int diffusionf(void *ctx, CeedInt Q, const CeedScalar *const *in, CeedScalar *const *out) { 98 const CeedScalar *ug = in[0]; 99 const CeedScalar *qd = in[1]; 100 CeedScalar *vg = out[0]; 101 for (CeedInt i=0; i<Q; i++) { 102 const CeedScalar ug0 = ug[i+Q*0]; 103 const CeedScalar ug1 = ug[i+Q*1]; 104 const CeedScalar ug2 = ug[i+Q*2]; 105 vg[i+Q*0] = qd[i+Q*0]*ug0 + qd[i+Q*1]*ug1 + qd[i+Q*2]*ug2; 106 vg[i+Q*1] = qd[i+Q*1]*ug0 + qd[i+Q*3]*ug1 + qd[i+Q*4]*ug2; 107 vg[i+Q*2] = qd[i+Q*2]*ug0 + qd[i+Q*4]*ug1 + qd[i+Q*5]*ug2; 108 } 109 return 0; 110 } 111