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/libCEED/examples/petsc/qfunctions/bps/
H A Dbp4sphere.h27 const CeedScalar R = context[0]; in SetupDiffRhs3() local
35 x *= R / rad; in SetupDiffRhs3()
36 y *= R / rad; in SetupDiffRhs3()
37 z *= R / rad; in SetupDiffRhs3()
39 const CeedScalar theta = asin(z / R); // latitude in SetupDiffRhs3()
51 rhs[i + 0 * Q] = q_data[i + Q * 0] * 2 * sin(lambda) * cos(theta) / (R * R); in SetupDiffRhs3()
H A Dbp3sphere.h150 const CeedScalar R = context[0]; in SetupDiffRhs() local
158 x *= R / rad; in SetupDiffRhs()
159 y *= R / rad; in SetupDiffRhs()
160 z *= R / rad; in SetupDiffRhs()
162 const CeedScalar theta = asin(z / R); // latitude in SetupDiffRhs()
167 rhs[i + Q * 0] = q_data[i + Q * 0] * 2 * sin(lambda) * cos(theta) / (R * R); in SetupDiffRhs()
H A Dbp2sphere.h27 const CeedScalar R = context[0]; in SetupMassRhs3() local
32 const CeedScalar theta = asin(X[i + 2 * Q] / R); in SetupMassRhs3()
H A Dbp1sphere.h114 const CeedScalar R = context[0]; in SetupMassRhs() local
119 const CeedScalar theta = asin(X[i + 2 * Q] / R); in SetupMassRhs()
/libCEED/backends/sycl/
H A Dceed-sycl-common.hpp26 template <typename R, class... Args>
27 int CeedSetBackendFunctionCpp(Ceed ceed, const char *type, void *object, const char *fname, R (*f)(… in CeedSetBackendFunctionCpp()
28 static_assert(std::is_same_v<int, R>, "Ceed backend functions must return int"); in CeedSetBackendFunctionCpp()
/libCEED/examples/fluids/qfunctions/
H A Dtaylorgreen.h24 CeedScalar R = GasConstant(gas); in ICsTaylorGreen() local
27 const CeedScalar density0 = reference.pressure / (reference.temperature * R); in ICsTaylorGreen()
H A Dnewtonian_state.h271 StateConservative R = {0}; in StateConservativeMult() local
273 R.density += a[i] * X[i].density; in StateConservativeMult()
274 for (int j = 0; j < 3; j++) R.momentum[j] += a[i] * X[i].momentum[j]; in StateConservativeMult()
275 R.E_total += a[i] * X[i].E_total; in StateConservativeMult()
277 return R; in StateConservativeMult()
282 StateConservative R; in StateConservativeAXPBYPCZ() local
283 R.density = a * X.density + b * Y.density + c * Z.density; in StateConservativeAXPBYPCZ()
284 …for (int i = 0; i < 3; i++) R.momentum[i] = a * X.momentum[i] + b * Y.momentum[i] + c * Z.momentum… in StateConservativeAXPBYPCZ()
285 R.E_total = a * X.E_total + b * Y.E_total + c * Z.E_total; in StateConservativeAXPBYPCZ()
286 return R; in StateConservativeAXPBYPCZ()
H A Deulervortex.h74 const CeedScalar R = 1.; in Exact_Euler() local
137 rho = P / (R * T); in Exact_Euler()
150 rho = P / (R * T); in Exact_Euler()
164 rho = P / (R * T); in Exact_Euler()
537 const CeedScalar R = 1.; in TravelingVortex_Inflow() local
564 const CeedScalar rho_inlet = P_inlet / (R * T_inlet); in TravelingVortex_Inflow()
/libCEED/
H A DAUTHORS2 Zachary R. Atkins
/libCEED/doc/sphinx/source/
H A Dreferences.bib53 author = {Hughes, Thomas J R and Scovazzi, Guglielmo and Tezduyar, Tayfun E},
93 …author = {Straka, Jerry M and Wilhelmson, Robert B and Wicker, Louis J and Anderson, John R and…
196 …author = {Shur, Michael L. and Spalart, Philippe R. and Strelets, Michael K. and Travin, Andrey K…
287 author = {Bull, Jonathan R. and Jameson, Antony},
298 author = {Van Driest, E. R.},
H A DlibCEEDapi.md21 where $\bm{x} \in \mathbb{R}^d \supset \Omega$.
31 …-component problems in $d$ dimensions, $\bm f_0 \in \mathbb{R}^n$ and $\bm f_1 \in \mathbb{R}^{nd}…
/libCEED/examples/petsc/src/
H A Dlibceedsetup.c55 CeedScalar R = 1; // radius of the sphere in SetupLibceedByDegree() local
170 CeedScalar rhs_setup_data[2] = {R, l}; in SetupLibceedByDegree()
253 CeedScalar R = 1; // radius of the sphere in SetupErrorOperator() local
322 CeedScalar rhs_setup_data[2] = {R, l}; in SetupErrorOperator()
H A Dswarmutils.c593 CeedScalar R = 1; // radius of the sphere in SetupProblemSwarm() local
744 CeedScalar rhs_setup_data[2] = {R, l}; in SetupProblemSwarm()
/libCEED/examples/
H A Dnotation.md7 We discretize the domain, $\Omega \subset \mathbb{R}^d$ (with $d=1,2,3$, typically) by letting $\Om…
/libCEED/doc/papers/joss/
H A Dpaper.bib155 journal={SIAM {R}eview},
218 author = {R. Anderson and J. Andrej and A. Barker and J. Bramwell and J.-S. Camier and
251 author = {Charles R. Harris and K. Jarrod Millman and St{'{e}}fan J.
257 R{'{\i}}o and Mark Wiebe and Pearu Peterson and Pierre
325 …author={Straka, Jerry M and Wilhelmson, Robert B and Wicker, Louis J and Anderson, John R and Droe…
/libCEED/examples/fluids/problems/
H A Dblasius.c20 PetscErrorCode CompressibleBlasiusResidual(SNES snes, Vec X, Vec R, void *ctx) { in CompressibleBlasiusResidual() argument
34 PetscCall(VecGetArray(R, &r)); in CompressibleBlasiusResidual()
72 PetscCall(VecRestoreArray(R, &r)); in CompressibleBlasiusResidual()
/libCEED/examples/solids/
H A Delasticity.c55 Vec R, R_loc, F, F_loc; // g: global, loc: local in main() local
204 PetscCall(VecDuplicate(U_g[fine_level], &R)); in main()
410 PetscCall(SNESSetFunction(snes, R, FormResidual_Ceed, res_ctx)); in main()
849 PetscCall(VecDestroy(&R)); in main()
H A Dindex.md83 Here, we define a strain energy density functional $\Phi(\bm \epsilon) \in \mathbb R$ and obtain th…
/libCEED/examples/petsc/
H A Dindex.md10 …at the physical coordinates for this problem are $\bm{x}=(x,y,z)\in \mathbb{R}^3$, while the coord…
125 … a two-dimensional closed surface embedded in the three-dimensional Euclidean space $\mathbb{R}^3$.
/libCEED/examples/fluids/
H A Dindex.md206 In both {eq}`eq-weak-vector-ns-su` and {eq}`eq-weak-vector-ns-supg`, $\bm\tau \in \mathbb R^{5\time…
437 …overline \phi$ the filtered scalar solution field, $\bm{\Delta} \in \mathbb{R}^{3 \times 3}$ a sym…
567 …for this problem is $\rho=1$, $P=1$, $T=P/\rho= 1$ (Specific Gas Constant, $R$, is 1), and $\bm{u}…
733 tensor $\bm{C}$ (such that $\bm{R} = \bm{CC}^T$ ), bulk velocity $U_0$,
859 | $\bm{R}$ | R_ij | Yes | No |
916 \rho &= \frac{p}{R T_0} \\
/libCEED/examples/python/
H A Dtutorial-6-shell.ipynb27 "We discretize the domain, $\\Omega \\subset \\mathbb{R}^d$ (with $d=1,2,3$,\n",