Line data Source code
1 0 : // Distributed under the MIT License.
2 : // See LICENSE.txt for details.
3 :
4 : #pragma once
5 :
6 : #include <array>
7 : #include <cstddef>
8 : #include <cstdint>
9 : #include <optional>
10 : #include <type_traits>
11 :
12 : #include "DataStructures/DataBox/AsAccess.hpp"
13 : #include "DataStructures/DataBox/DataBox.hpp"
14 : #include "DataStructures/DataBox/PrefixHelpers.hpp"
15 : #include "DataStructures/DataBox/Prefixes.hpp"
16 : #include "DataStructures/DataVector.hpp"
17 : #include "DataStructures/TaggedContainers.hpp"
18 : #include "DataStructures/Tensor/Tensor.hpp"
19 : #include "DataStructures/Variables.hpp"
20 : #include "Domain/Structure/Element.hpp"
21 : #include "Domain/Tags.hpp"
22 : #include "Evolution/BoundaryCorrectionTags.hpp"
23 : #include "Evolution/DgSubcell/CartesianFluxDivergence.hpp"
24 : #include "Evolution/DgSubcell/ComputeBoundaryTerms.hpp"
25 : #include "Evolution/DgSubcell/CorrectPackagedData.hpp"
26 : #include "Evolution/DgSubcell/Projection.hpp"
27 : #include "Evolution/DgSubcell/ReconstructionOrder.hpp"
28 : #include "Evolution/DgSubcell/SubcellOptions.hpp"
29 : #include "Evolution/DgSubcell/Tags/CellCenteredFlux.hpp"
30 : #include "Evolution/DgSubcell/Tags/Coordinates.hpp"
31 : #include "Evolution/DgSubcell/Tags/Jacobians.hpp"
32 : #include "Evolution/DgSubcell/Tags/Mesh.hpp"
33 : #include "Evolution/DgSubcell/Tags/OnSubcellFaces.hpp"
34 : #include "Evolution/DgSubcell/Tags/SubcellOptions.hpp"
35 : #include "Evolution/DiscontinuousGalerkin/Actions/NormalCovectorAndMagnitude.hpp"
36 : #include "Evolution/DiscontinuousGalerkin/Actions/PackageDataImpl.hpp"
37 : #include "Evolution/DiscontinuousGalerkin/MortarTags.hpp"
38 : #include "Evolution/Systems/GrMhd/ValenciaDivClean/BoundaryCorrections/BoundaryCorrection.hpp"
39 : #include "Evolution/Systems/GrMhd/ValenciaDivClean/FiniteDifference/BoundaryConditionGhostData.hpp"
40 : #include "Evolution/Systems/GrMhd/ValenciaDivClean/FiniteDifference/Reconstructor.hpp"
41 : #include "Evolution/Systems/GrMhd/ValenciaDivClean/FiniteDifference/Tag.hpp"
42 : #include "Evolution/Systems/GrMhd/ValenciaDivClean/Fluxes.hpp"
43 : #include "Evolution/Systems/GrMhd/ValenciaDivClean/Sources.hpp"
44 : #include "Evolution/Systems/GrMhd/ValenciaDivClean/Subcell/ComputeFluxes.hpp"
45 : #include "Evolution/Systems/GrMhd/ValenciaDivClean/System.hpp"
46 : #include "NumericalAlgorithms/FiniteDifference/DerivativeOrder.hpp"
47 : #include "NumericalAlgorithms/FiniteDifference/HighOrderFluxCorrection.hpp"
48 : #include "NumericalAlgorithms/Spectral/Mesh.hpp"
49 : #include "Parallel/Tags/Metavariables.hpp"
50 : #include "PointwiseFunctions/Hydro/Tags.hpp"
51 : #include "Utilities/CallWithDynamicType.hpp"
52 : #include "Utilities/ErrorHandling/Assert.hpp"
53 : #include "Utilities/Gsl.hpp"
54 : #include "Utilities/TMPL.hpp"
55 :
56 : namespace grmhd::ValenciaDivClean::subcell {
57 : /*!
58 : * \brief Compute the time derivative on the subcell grid using FD
59 : * reconstruction.
60 : */
61 1 : struct TimeDerivative {
62 : template <typename DbTagsList>
63 0 : static void apply(const gsl::not_null<db::DataBox<DbTagsList>*> box) {
64 : using evolved_vars_tag = typename System::variables_tag;
65 : using evolved_vars_tags = typename evolved_vars_tag::tags_list;
66 : using prim_tags = typename System::primitive_variables_tag::tags_list;
67 : using recons_prim_tags = tmpl::push_back<
68 : prim_tags,
69 : hydro::Tags::LorentzFactorTimesSpatialVelocity<DataVector, 3>>;
70 : using fluxes_tags = db::wrap_tags_in<::Tags::Flux, evolved_vars_tags,
71 : tmpl::size_t<3>, Frame::Inertial>;
72 :
73 : ASSERT(
74 : (db::get<::domain::CoordinateMaps::Tags::CoordinateMap<
75 : 3, Frame::Grid, Frame::Inertial>>(*box))
76 : .is_identity(),
77 : "Moving mesh is only partly implemented in ValenciaDivClean. If you "
78 : "need this look at the complete implementation in GhValenciaDivClean. "
79 : "You will at least need to update the high-order boundary correction "
80 : "code to include the right normal vectors/Jacobians.");
81 :
82 : const Mesh<3>& subcell_mesh =
83 : db::get<evolution::dg::subcell::Tags::Mesh<3>>(*box);
84 : const Mesh<3>& dg_mesh = db::get<domain::Tags::Mesh<3>>(*box);
85 : ASSERT(
86 : is_isotropic(subcell_mesh),
87 : "The subcell/FD mesh must be isotropic for the FD time derivative but "
88 : "got "
89 : << subcell_mesh);
90 : const size_t reconstructed_num_pts =
91 : (subcell_mesh.extents(0) + 1) *
92 : subcell_mesh.extents().slice_away(0).product();
93 :
94 : const tnsr::I<DataVector, 3, Frame::ElementLogical>&
95 : cell_centered_logical_coords =
96 : db::get<evolution::dg::subcell::Tags::Coordinates<
97 : 3, Frame::ElementLogical>>(*box);
98 : std::array<double, 3> one_over_delta_xi{};
99 : for (size_t i = 0; i < 3; ++i) {
100 : // Note: assumes isotropic extents
101 : gsl::at(one_over_delta_xi, i) =
102 : 1.0 / (get<0>(cell_centered_logical_coords)[1] -
103 : get<0>(cell_centered_logical_coords)[0]);
104 : }
105 :
106 : // Inverse jacobian, to be projected on faces
107 : const auto& inv_jacobian_dg =
108 : db::get<domain::Tags::InverseJacobian<3, Frame::ElementLogical,
109 : Frame::Inertial>>(*box);
110 : const auto& det_inv_jacobian_dg = db::get<
111 : domain::Tags::DetInvJacobian<Frame::ElementLogical, Frame::Inertial>>(
112 : *box);
113 :
114 : // Velocity of the moving mesh on the DG grid, if applicable.
115 : const std::optional<tnsr::I<DataVector, 3, Frame::Inertial>>&
116 : mesh_velocity_dg = db::get<domain::Tags::MeshVelocity<3>>(*box);
117 : const std::optional<Scalar<DataVector>>& div_mesh_velocity =
118 : db::get<domain::Tags::DivMeshVelocity>(*box);
119 :
120 : const grmhd::ValenciaDivClean::fd::Reconstructor& recons =
121 : db::get<grmhd::ValenciaDivClean::fd::Tags::Reconstructor>(*box);
122 :
123 : const Element<3>& element = db::get<domain::Tags::Element<3>>(*box);
124 : const auto fd_derivative_order =
125 : db::get<evolution::dg::subcell::Tags::SubcellOptions<3>>(*box)
126 : .finite_difference_derivative_order();
127 : std::optional<std::array<std::vector<std::uint8_t>, 3>>
128 : reconstruction_order_data{};
129 : std::optional<std::array<gsl::span<std::uint8_t>, 3>>
130 : reconstruction_order{};
131 : if (static_cast<int>(fd_derivative_order) < 0) {
132 : reconstruction_order_data = make_array<3>(std::vector<std::uint8_t>(
133 : (subcell_mesh.extents(0) + 2) * subcell_mesh.extents(1) *
134 : subcell_mesh.extents(2),
135 : std::numeric_limits<std::uint8_t>::max()));
136 : reconstruction_order = std::array<gsl::span<std::uint8_t>, 3>{};
137 : for (size_t i = 0; i < 3; ++i) {
138 : gsl::at(reconstruction_order.value(), i) = gsl::make_span(
139 : gsl::at(reconstruction_order_data.value(), i).data(),
140 : gsl::at(reconstruction_order_data.value(), i).size());
141 : }
142 : }
143 :
144 : const bool element_is_interior = element.external_boundaries().empty();
145 : constexpr bool subcell_enabled_at_external_boundary =
146 : std::decay_t<decltype(db::get<Parallel::Tags::Metavariables>(
147 : *box))>::SubcellOptions::subcell_enabled_at_external_boundary;
148 :
149 : ASSERT(element_is_interior or subcell_enabled_at_external_boundary,
150 : "Subcell time derivative is called at a boundary element while "
151 : "using subcell is disabled at external boundaries."
152 : "ElementID "
153 : << element.id());
154 :
155 : // Now package the data and compute the correction
156 : const auto& boundary_correction =
157 : db::get<evolution::Tags::BoundaryCorrection<System>>(*box);
158 : using derived_boundary_corrections =
159 : typename std::decay_t<decltype(boundary_correction)>::creatable_classes;
160 : std::array<Variables<evolved_vars_tags>, 3> boundary_corrections{};
161 :
162 : // If the element has external boundaries and subcell is enabled for
163 : // boundary elements, compute FD ghost data with a given boundary condition.
164 : if constexpr (subcell_enabled_at_external_boundary) {
165 : if (not element.external_boundaries().empty()) {
166 : fd::BoundaryConditionGhostData::apply(box, element, recons);
167 : }
168 : }
169 :
170 : call_with_dynamic_type<void, derived_boundary_corrections>(
171 : &boundary_correction, [&](const auto* derived_correction) {
172 : using DerivedCorrection = std::decay_t<decltype(*derived_correction)>;
173 : using dg_package_data_temporary_tags =
174 : typename DerivedCorrection::dg_package_data_temporary_tags;
175 : using dg_package_data_argument_tags = tmpl::append<
176 : evolved_vars_tags, recons_prim_tags, fluxes_tags,
177 : tmpl::remove_duplicates<tmpl::push_back<
178 : dg_package_data_temporary_tags,
179 : gr::Tags::SpatialMetric<DataVector, 3>,
180 : gr::Tags::SqrtDetSpatialMetric<DataVector>,
181 : gr::Tags::InverseSpatialMetric<DataVector, 3>,
182 : evolution::dg::Actions::detail::NormalVector<3>>>>;
183 : // Computed prims and cons on face via reconstruction
184 : auto package_data_argvars_lower_face = make_array<3>(
185 : Variables<dg_package_data_argument_tags>(reconstructed_num_pts));
186 : auto package_data_argvars_upper_face = make_array<3>(
187 : Variables<dg_package_data_argument_tags>(reconstructed_num_pts));
188 : // Copy over the face values of the metric quantities.
189 : using spacetime_vars_to_copy =
190 : tmpl::list<gr::Tags::Lapse<DataVector>,
191 : gr::Tags::Shift<DataVector, 3>,
192 : gr::Tags::SpatialMetric<DataVector, 3>,
193 : gr::Tags::SqrtDetSpatialMetric<DataVector>,
194 : gr::Tags::InverseSpatialMetric<DataVector, 3>>;
195 : tmpl::for_each<spacetime_vars_to_copy>(
196 : [&package_data_argvars_lower_face,
197 : &package_data_argvars_upper_face,
198 : &spacetime_vars_on_face =
199 : db::get<evolution::dg::subcell::Tags::OnSubcellFaces<
200 : typename System::flux_spacetime_variables_tag, 3>>(
201 : *box)](auto tag_v) {
202 : using tag = tmpl::type_from<decltype(tag_v)>;
203 : for (size_t d = 0; d < 3; ++d) {
204 : get<tag>(gsl::at(package_data_argvars_lower_face, d)) =
205 : get<tag>(gsl::at(spacetime_vars_on_face, d));
206 : get<tag>(gsl::at(package_data_argvars_upper_face, d)) =
207 : get<tag>(gsl::at(spacetime_vars_on_face, d));
208 : }
209 : });
210 :
211 : // Reconstruct data to the face
212 : call_with_dynamic_type<void, typename grmhd::ValenciaDivClean::fd::
213 : Reconstructor::creatable_classes>(
214 : &recons, [&box, &package_data_argvars_lower_face,
215 : &package_data_argvars_upper_face,
216 : &reconstruction_order](const auto& reconstructor) {
217 : using ReconstructorType =
218 : std::decay_t<decltype(*reconstructor)>;
219 : db::apply<
220 : typename ReconstructorType::reconstruction_argument_tags>(
221 : [&package_data_argvars_lower_face,
222 : &package_data_argvars_upper_face, &reconstructor,
223 : &reconstruction_order](const auto&... args) {
224 : if constexpr (ReconstructorType::use_adaptive_order) {
225 : reconstructor->reconstruct(
226 : make_not_null(&package_data_argvars_lower_face),
227 : make_not_null(&package_data_argvars_upper_face),
228 : make_not_null(&reconstruction_order), args...);
229 : } else {
230 : (void)reconstruction_order;
231 : reconstructor->reconstruct(
232 : make_not_null(&package_data_argvars_lower_face),
233 : make_not_null(&package_data_argvars_upper_face),
234 : args...);
235 : }
236 : },
237 : *box);
238 : });
239 :
240 : using dg_package_field_tags =
241 : typename DerivedCorrection::dg_package_field_tags;
242 : // Allocated outside for loop to reduce allocations
243 : Variables<dg_package_field_tags> upper_packaged_data{
244 : reconstructed_num_pts};
245 : Variables<dg_package_field_tags> lower_packaged_data{
246 : reconstructed_num_pts};
247 :
248 : // Compute fluxes on faces
249 : for (size_t i = 0; i < 3; ++i) {
250 : // Build extents of mesh shifted by half a grid cell in direction i
251 : const unsigned long& num_subcells_1d = subcell_mesh.extents(0);
252 : Index<3> face_mesh_extents(std::array<size_t, 3>{
253 : num_subcells_1d, num_subcells_1d, num_subcells_1d});
254 : face_mesh_extents[i] = num_subcells_1d + 1;
255 :
256 : auto& vars_upper_face = gsl::at(package_data_argvars_upper_face, i);
257 : auto& vars_lower_face = gsl::at(package_data_argvars_lower_face, i);
258 : grmhd::ValenciaDivClean::subcell::compute_fluxes(
259 : make_not_null(&vars_upper_face));
260 : grmhd::ValenciaDivClean::subcell::compute_fluxes(
261 : make_not_null(&vars_lower_face));
262 :
263 : // Add moving mesh corrections to the fluxes, if needed
264 : std::optional<tnsr::I<DataVector, 3, Frame::Inertial>>
265 : mesh_velocity_on_face = {};
266 : if (mesh_velocity_dg.has_value()) {
267 : // Project mesh velocity on face mesh.
268 : // Can we get away with only doing the normal component? It
269 : // is also used in the packaged data...
270 : mesh_velocity_on_face = tnsr::I<DataVector, 3, Frame::Inertial>{
271 : reconstructed_num_pts};
272 : for (size_t j = 0; j < 3; j++) {
273 : // j^th component of the velocity on the i^th directed face
274 : mesh_velocity_on_face.value().get(j) =
275 : evolution::dg::subcell::fd::project_to_faces(
276 : mesh_velocity_dg.value().get(j), dg_mesh,
277 : face_mesh_extents, i);
278 : }
279 : tmpl::for_each<evolved_vars_tags>([&vars_upper_face,
280 : &vars_lower_face,
281 : &mesh_velocity_on_face](
282 : auto tag_v) {
283 : using tag = tmpl::type_from<decltype(tag_v)>;
284 : using flux_tag =
285 : ::Tags::Flux<tag, tmpl::size_t<3>, Frame::Inertial>;
286 : using FluxTensor = typename flux_tag::type;
287 : const auto& var_upper = get<tag>(vars_upper_face);
288 : const auto& var_lower = get<tag>(vars_lower_face);
289 : auto& flux_upper = get<flux_tag>(vars_upper_face);
290 : auto& flux_lower = get<flux_tag>(vars_lower_face);
291 : for (size_t storage_index = 0; storage_index < var_upper.size();
292 : ++storage_index) {
293 : const auto tensor_index =
294 : var_upper.get_tensor_index(storage_index);
295 : for (size_t j = 0; j < 3; j++) {
296 : const auto flux_storage_index =
297 : FluxTensor::get_storage_index(prepend(tensor_index, j));
298 : flux_upper[flux_storage_index] -=
299 : mesh_velocity_on_face.value().get(j) *
300 : var_upper[storage_index];
301 : flux_lower[flux_storage_index] -=
302 : mesh_velocity_on_face.value().get(j) *
303 : var_lower[storage_index];
304 : }
305 : }
306 : });
307 : }
308 :
309 : // Normal vectors in curved spacetime normalized by inverse
310 : // spatial metric. Note that we use the sign convention on
311 : // the normal vectors to be compatible with DG.
312 : //
313 : // Note that these normal vectors are on all faces inside the DG
314 : // element since there are a bunch of subcells. We don't use the
315 : // NormalCovectorAndMagnitude tag in the DataBox right now to avoid
316 : // conflicts with the DG solver. We can explore in the future if
317 : // it's possible to reuse that allocation.
318 : //
319 : // The unnormalized normal vector is
320 : // n_j = d \xi^{\hat i}/dx^j
321 : // with "i" the current face.
322 : tnsr::i<DataVector, 3, Frame::Inertial> lower_outward_conormal{
323 : reconstructed_num_pts, 0.0};
324 : for (size_t j = 0; j < 3; j++) {
325 : lower_outward_conormal.get(j) =
326 : evolution::dg::subcell::fd::project_to_faces(
327 : inv_jacobian_dg.get(i, j), dg_mesh, face_mesh_extents, i);
328 : }
329 : const auto det_inv_jacobian_face =
330 : evolution::dg::subcell::fd::project_to_faces(
331 : get(det_inv_jacobian_dg), dg_mesh, face_mesh_extents, i);
332 :
333 : const Scalar<DataVector> normalization{sqrt(get(
334 : dot_product(lower_outward_conormal, lower_outward_conormal,
335 : get<gr::Tags::InverseSpatialMetric<DataVector, 3>>(
336 : vars_upper_face))))};
337 : for (size_t j = 0; j < 3; j++) {
338 : lower_outward_conormal.get(j) =
339 : lower_outward_conormal.get(j) / get(normalization);
340 : }
341 :
342 : tnsr::i<DataVector, 3, Frame::Inertial> upper_outward_conormal{
343 : reconstructed_num_pts, 0.0};
344 : for (size_t j = 0; j < 3; j++) {
345 : upper_outward_conormal.get(j) = -lower_outward_conormal.get(j);
346 : }
347 : // Note: we probably should compute the normal vector in addition to
348 : // the co-vector. Not a huge issue since we'll get an FPE right now
349 : // if it's used by a Riemann solver.
350 :
351 : // Compute the packaged data
352 : using dg_package_data_projected_tags = tmpl::append<
353 : evolved_vars_tags, fluxes_tags, dg_package_data_temporary_tags,
354 : typename DerivedCorrection::dg_package_data_primitive_tags>;
355 : evolution::dg::Actions::detail::dg_package_data<System>(
356 : make_not_null(&upper_packaged_data), *derived_correction,
357 : vars_upper_face, upper_outward_conormal, mesh_velocity_on_face,
358 : *box, typename DerivedCorrection::dg_package_data_volume_tags{},
359 : dg_package_data_projected_tags{});
360 :
361 : evolution::dg::Actions::detail::dg_package_data<System>(
362 : make_not_null(&lower_packaged_data), *derived_correction,
363 : vars_lower_face, lower_outward_conormal, mesh_velocity_on_face,
364 : *box, typename DerivedCorrection::dg_package_data_volume_tags{},
365 : dg_package_data_projected_tags{});
366 :
367 : // Now need to check if any of our neighbors are doing DG,
368 : // because if so then we need to use whatever boundary data
369 : // they sent instead of what we computed locally.
370 : //
371 : // Note: We could check this beforehand to avoid the extra
372 : // work of reconstruction and flux computations at the
373 : // boundaries.
374 : evolution::dg::subcell::correct_package_data<true>(
375 : make_not_null(&lower_packaged_data),
376 : make_not_null(&upper_packaged_data), i, element, subcell_mesh,
377 : db::get<evolution::dg::Tags::MortarData<3>>(*box), 0);
378 :
379 : // Compute the corrections on the faces. We only need to
380 : // compute this once because we can just flip the normal
381 : // vectors then
382 : gsl::at(boundary_corrections, i).initialize(reconstructed_num_pts);
383 : evolution::dg::subcell::compute_boundary_terms(
384 : make_not_null(&gsl::at(boundary_corrections, i)),
385 : *derived_correction, upper_packaged_data, lower_packaged_data,
386 : db::as_access(*box),
387 : typename DerivedCorrection::dg_boundary_terms_volume_tags{});
388 : // We need to multiply by the normal vector normalization
389 : gsl::at(boundary_corrections, i) *= get(normalization);
390 : // Also multiply by determinant of Jacobian, following Eq.(34)
391 : // of 2109.11645
392 : gsl::at(boundary_corrections, i) *= 1.0 / det_inv_jacobian_face;
393 : }
394 : });
395 :
396 : // Now compute the actual time derivatives.
397 : using variables_tag = typename System::variables_tag;
398 : using dt_variables_tag = db::add_tag_prefix<::Tags::dt, variables_tag>;
399 : const gsl::not_null<typename dt_variables_tag::type*> dt_vars_ptr =
400 : db::mutate<dt_variables_tag>(
401 : [](const auto local_dt_vars_ptr) { return local_dt_vars_ptr; },
402 : box);
403 : dt_vars_ptr->initialize(subcell_mesh.number_of_grid_points());
404 :
405 : using grmhd_source_tags =
406 : tmpl::transform<ValenciaDivClean::ComputeSources::return_tags,
407 : tmpl::bind<db::remove_tag_prefix, tmpl::_1>>;
408 : sources_impl(
409 : dt_vars_ptr, *box, grmhd_source_tags{},
410 : typename grmhd::ValenciaDivClean::ComputeSources::argument_tags{});
411 :
412 : // Zero GRMHD tags that don't have sources.
413 : tmpl::for_each<typename variables_tag::tags_list>(
414 : [&dt_vars_ptr](auto evolved_var_tag_v) {
415 : using evolved_var_tag = tmpl::type_from<decltype(evolved_var_tag_v)>;
416 : using dt_tag = ::Tags::dt<evolved_var_tag>;
417 : auto& dt_var = get<dt_tag>(*dt_vars_ptr);
418 : for (size_t i = 0; i < dt_var.size(); ++i) {
419 : if constexpr (not tmpl::list_contains_v<grmhd_source_tags,
420 : evolved_var_tag>) {
421 : dt_var[i] = 0.0;
422 : }
423 : }
424 : });
425 :
426 : // Correction to source terms due to moving mesh
427 : if (div_mesh_velocity.has_value()) {
428 : const DataVector div_mesh_velocity_subcell =
429 : evolution::dg::subcell::fd::project(div_mesh_velocity.value().get(),
430 : dg_mesh, subcell_mesh.extents());
431 : const auto& evolved_vars = db::get<evolved_vars_tag>(*box);
432 :
433 : tmpl::for_each<typename variables_tag::tags_list>(
434 : [&dt_vars_ptr, &div_mesh_velocity_subcell,
435 : &evolved_vars](auto evolved_var_tag_v) {
436 : using evolved_var_tag =
437 : tmpl::type_from<decltype(evolved_var_tag_v)>;
438 : using dt_tag = ::Tags::dt<evolved_var_tag>;
439 : auto& dt_var = get<dt_tag>(*dt_vars_ptr);
440 : const auto& evolved_var = get<evolved_var_tag>(evolved_vars);
441 : for (size_t i = 0; i < dt_var.size(); ++i) {
442 : dt_var[i] -= div_mesh_velocity_subcell * evolved_var[i];
443 : }
444 : });
445 : }
446 :
447 : if (UNLIKELY(fd_derivative_order != ::fd::DerivativeOrder::Two)) {
448 : ERROR(
449 : "We don't yet have high-order flux corrections for curved/moving "
450 : "meshes and the implementation assumes curved/moving meshes. We need "
451 : "to dot the Cartesian fluxes into the cell-centered "
452 : "J inv(J)^{hat{i}}_j to get JF^{hat{i}} = J inv(J)^{hat{i}}_j F^j."
453 : " Some care needs to be taken since we also get F^j from our "
454 : "neighbors, which leaves the question as to whether to interpolate "
455 : "the _inertial fluxes_ and then transform or whether to transform "
456 : "and then interpolate the _densitized logical fluxes_.");
457 : }
458 : std::optional<std::array<Variables<evolved_vars_tags>, 3>>
459 : high_order_corrections{};
460 : ::fd::cartesian_high_order_flux_corrections(
461 : make_not_null(&high_order_corrections),
462 :
463 : db::get<evolution::dg::subcell::Tags::CellCenteredFlux<
464 : evolved_vars_tags, 3>>(*box),
465 : boundary_corrections, fd_derivative_order,
466 : db::get<evolution::dg::subcell::Tags::GhostDataForReconstruction<3>>(
467 : *box),
468 : subcell_mesh, recons.ghost_zone_size(),
469 : reconstruction_order.value_or(
470 : std::array<gsl::span<std::uint8_t>, 3>{}));
471 :
472 : const auto& cell_centered_det_inv_jacobian = db::get<
473 : evolution::dg::subcell::fd::Tags::DetInverseJacobianLogicalToInertial>(
474 : *box);
475 : for (size_t dim = 0; dim < 3; ++dim) {
476 : const auto& boundary_correction_in_axis =
477 : high_order_corrections.has_value()
478 : ? gsl::at(high_order_corrections.value(), dim)
479 : : gsl::at(boundary_corrections, dim);
480 : const double inverse_delta = gsl::at(one_over_delta_xi, dim);
481 : tmpl::for_each<typename variables_tag::tags_list>(
482 : [&dt_vars_ptr, &boundary_correction_in_axis,
483 : &cell_centered_det_inv_jacobian, dim, inverse_delta,
484 : &subcell_mesh](auto evolved_var_tag_v) {
485 : using evolved_var_tag =
486 : tmpl::type_from<decltype(evolved_var_tag_v)>;
487 : using dt_tag = ::Tags::dt<evolved_var_tag>;
488 : auto& dt_var = get<dt_tag>(*dt_vars_ptr);
489 : const auto& var_correction =
490 : get<evolved_var_tag>(boundary_correction_in_axis);
491 : for (size_t i = 0; i < dt_var.size(); ++i) {
492 : evolution::dg::subcell::add_cartesian_flux_divergence(
493 : make_not_null(&dt_var[i]), inverse_delta,
494 : get(cell_centered_det_inv_jacobian), var_correction[i],
495 : subcell_mesh.extents(), dim);
496 : }
497 : });
498 : }
499 :
500 : evolution::dg::subcell::store_reconstruction_order_in_databox(
501 : box, reconstruction_order);
502 : }
503 :
504 : private:
505 : template <typename DtVarsList, typename DbTagsList, typename... SourcedTags,
506 : typename... ArgsTags>
507 0 : static void sources_impl(
508 : const gsl::not_null<Variables<DtVarsList>*> dt_vars_ptr,
509 : const db::DataBox<DbTagsList>& box, tmpl::list<SourcedTags...> /*meta*/,
510 : tmpl::list<ArgsTags...> /*meta*/) {
511 : grmhd::ValenciaDivClean::ComputeSources::apply(
512 : get<::Tags::dt<SourcedTags>>(dt_vars_ptr)..., get<ArgsTags>(box)...);
513 : }
514 : };
515 : } // namespace grmhd::ValenciaDivClean::subcell
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