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/MetavariablesTag.hpp"
15 : #include "DataStructures/DataBox/PrefixHelpers.hpp"
16 : #include "DataStructures/DataBox/Prefixes.hpp"
17 : #include "DataStructures/DataVector.hpp"
18 : #include "DataStructures/TaggedContainers.hpp"
19 : #include "DataStructures/Tensor/Tensor.hpp"
20 : #include "DataStructures/Variables.hpp"
21 : #include "Domain/Structure/Element.hpp"
22 : #include "Domain/Tags.hpp"
23 : #include "Evolution/BoundaryCorrection.hpp"
24 : #include "Evolution/BoundaryCorrectionTags.hpp"
25 : #include "Evolution/DgSubcell/CartesianFluxDivergence.hpp"
26 : #include "Evolution/DgSubcell/ComputeBoundaryTerms.hpp"
27 : #include "Evolution/DgSubcell/CorrectPackagedData.hpp"
28 : #include "Evolution/DgSubcell/Projection.hpp"
29 : #include "Evolution/DgSubcell/ReconstructionOrder.hpp"
30 : #include "Evolution/DgSubcell/SubcellOptions.hpp"
31 : #include "Evolution/DgSubcell/Tags/CellCenteredFlux.hpp"
32 : #include "Evolution/DgSubcell/Tags/Coordinates.hpp"
33 : #include "Evolution/DgSubcell/Tags/Jacobians.hpp"
34 : #include "Evolution/DgSubcell/Tags/Mesh.hpp"
35 : #include "Evolution/DgSubcell/Tags/OnSubcellFaces.hpp"
36 : #include "Evolution/DgSubcell/Tags/SubcellOptions.hpp"
37 : #include "Evolution/DiscontinuousGalerkin/Actions/NormalCovectorAndMagnitude.hpp"
38 : #include "Evolution/DiscontinuousGalerkin/Actions/PackageDataImpl.hpp"
39 : #include "Evolution/DiscontinuousGalerkin/MortarTags.hpp"
40 : #include "Evolution/Systems/GrMhd/ValenciaDivClean/FiniteDifference/BoundaryConditionGhostData.hpp"
41 : #include "Evolution/Systems/GrMhd/ValenciaDivClean/FiniteDifference/Reconstructor.hpp"
42 : #include "Evolution/Systems/GrMhd/ValenciaDivClean/FiniteDifference/Tag.hpp"
43 : #include "Evolution/Systems/GrMhd/ValenciaDivClean/Fluxes.hpp"
44 : #include "Evolution/Systems/GrMhd/ValenciaDivClean/Sources.hpp"
45 : #include "Evolution/Systems/GrMhd/ValenciaDivClean/Subcell/ComputeFluxes.hpp"
46 : #include "Evolution/Systems/GrMhd/ValenciaDivClean/System.hpp"
47 : #include "NumericalAlgorithms/FiniteDifference/DerivativeOrder.hpp"
48 : #include "NumericalAlgorithms/FiniteDifference/HighOrderFluxCorrection.hpp"
49 : #include "NumericalAlgorithms/Spectral/Mesh.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 metavariables =
65 : typename std::decay_t<decltype(db::get<Parallel::Tags::Metavariables>(
66 : *box))>;
67 : using evolved_vars_tag = typename System::variables_tag;
68 : using evolved_vars_tags = typename evolved_vars_tag::tags_list;
69 : using prim_tags = typename System::primitive_variables_tag::tags_list;
70 : using recons_prim_tags = tmpl::push_back<
71 : prim_tags,
72 : hydro::Tags::LorentzFactorTimesSpatialVelocity<DataVector, 3>>;
73 : using fluxes_tags = db::wrap_tags_in<::Tags::Flux, evolved_vars_tags,
74 : tmpl::size_t<3>, Frame::Inertial>;
75 :
76 : ASSERT(
77 : (db::get<::domain::CoordinateMaps::Tags::CoordinateMap<
78 : 3, Frame::Grid, Frame::Inertial>>(*box))
79 : .is_identity(),
80 : "Moving mesh is only partly implemented in ValenciaDivClean. If you "
81 : "need this look at the complete implementation in GhValenciaDivClean. "
82 : "You will at least need to update the high-order boundary correction "
83 : "code to include the right normal vectors/Jacobians.");
84 :
85 : const Mesh<3>& subcell_mesh =
86 : db::get<evolution::dg::subcell::Tags::Mesh<3>>(*box);
87 : const Mesh<3>& dg_mesh = db::get<domain::Tags::Mesh<3>>(*box);
88 : ASSERT(
89 : is_isotropic(subcell_mesh),
90 : "The subcell/FD mesh must be isotropic for the FD time derivative but "
91 : "got "
92 : << subcell_mesh);
93 : const size_t reconstructed_num_pts =
94 : (subcell_mesh.extents(0) + 1) *
95 : subcell_mesh.extents().slice_away(0).product();
96 :
97 : const tnsr::I<DataVector, 3, Frame::ElementLogical>&
98 : cell_centered_logical_coords =
99 : db::get<evolution::dg::subcell::Tags::Coordinates<
100 : 3, Frame::ElementLogical>>(*box);
101 : std::array<double, 3> one_over_delta_xi{};
102 : for (size_t i = 0; i < 3; ++i) {
103 : // Note: assumes isotropic extents
104 : gsl::at(one_over_delta_xi, i) =
105 : 1.0 / (get<0>(cell_centered_logical_coords)[1] -
106 : get<0>(cell_centered_logical_coords)[0]);
107 : }
108 :
109 : // Inverse jacobian, to be projected on faces
110 : const auto& inv_jacobian_dg =
111 : db::get<domain::Tags::InverseJacobian<3, Frame::ElementLogical,
112 : Frame::Inertial>>(*box);
113 : const auto& det_inv_jacobian_dg = db::get<
114 : domain::Tags::DetInvJacobian<Frame::ElementLogical, Frame::Inertial>>(
115 : *box);
116 :
117 : // Velocity of the moving mesh on the DG grid, if applicable.
118 : const std::optional<tnsr::I<DataVector, 3, Frame::Inertial>>&
119 : mesh_velocity_dg = db::get<domain::Tags::MeshVelocity<3>>(*box);
120 : const std::optional<Scalar<DataVector>>& div_mesh_velocity =
121 : db::get<domain::Tags::DivMeshVelocity>(*box);
122 :
123 : const grmhd::ValenciaDivClean::fd::Reconstructor& recons =
124 : db::get<grmhd::ValenciaDivClean::fd::Tags::Reconstructor>(*box);
125 :
126 : const Element<3>& element = db::get<domain::Tags::Element<3>>(*box);
127 : const auto fd_derivative_order =
128 : db::get<evolution::dg::subcell::Tags::SubcellOptions<3>>(*box)
129 : .finite_difference_derivative_order();
130 : std::optional<std::array<std::vector<std::uint8_t>, 3>>
131 : reconstruction_order_data{};
132 : std::optional<std::array<gsl::span<std::uint8_t>, 3>>
133 : reconstruction_order{};
134 : if (static_cast<int>(fd_derivative_order) < 0) {
135 : reconstruction_order_data = make_array<3>(std::vector<std::uint8_t>(
136 : (subcell_mesh.extents(0) + 2) * subcell_mesh.extents(1) *
137 : subcell_mesh.extents(2),
138 : std::numeric_limits<std::uint8_t>::max()));
139 : reconstruction_order = std::array<gsl::span<std::uint8_t>, 3>{};
140 : for (size_t i = 0; i < 3; ++i) {
141 : gsl::at(reconstruction_order.value(), i) = gsl::make_span(
142 : gsl::at(reconstruction_order_data.value(), i).data(),
143 : gsl::at(reconstruction_order_data.value(), i).size());
144 : }
145 : }
146 :
147 : const bool element_is_interior = element.external_boundaries().empty();
148 : constexpr bool subcell_enabled_at_external_boundary =
149 : metavariables::SubcellOptions::subcell_enabled_at_external_boundary;
150 :
151 : ASSERT(element_is_interior or subcell_enabled_at_external_boundary,
152 : "Subcell time derivative is called at a boundary element while "
153 : "using subcell is disabled at external boundaries."
154 : "ElementID "
155 : << element.id());
156 :
157 : // Now package the data and compute the correction
158 : const auto& boundary_correction =
159 : db::get<evolution::Tags::BoundaryCorrection>(*box);
160 : using derived_boundary_corrections =
161 : tmpl::at<typename metavariables::factory_creation::factory_classes,
162 : evolution::BoundaryCorrection>;
163 : std::array<Variables<evolved_vars_tags>, 3> boundary_corrections{};
164 :
165 : // If the element has external boundaries and subcell is enabled for
166 : // boundary elements, compute FD ghost data with a given boundary condition.
167 : if constexpr (subcell_enabled_at_external_boundary) {
168 : if (not element.external_boundaries().empty()) {
169 : fd::BoundaryConditionGhostData::apply(box, element, recons);
170 : }
171 : }
172 :
173 : call_with_dynamic_type<void, derived_boundary_corrections>(
174 : &boundary_correction, [&](const auto* derived_correction) {
175 : using DerivedCorrection = std::decay_t<decltype(*derived_correction)>;
176 : using dg_package_data_temporary_tags =
177 : typename DerivedCorrection::dg_package_data_temporary_tags;
178 : using dg_package_data_argument_tags = tmpl::append<
179 : evolved_vars_tags, recons_prim_tags, fluxes_tags,
180 : tmpl::remove_duplicates<tmpl::push_back<
181 : dg_package_data_temporary_tags,
182 : gr::Tags::SpatialMetric<DataVector, 3>,
183 : gr::Tags::SqrtDetSpatialMetric<DataVector>,
184 : gr::Tags::InverseSpatialMetric<DataVector, 3>,
185 : evolution::dg::Actions::detail::NormalVector<3>>>>;
186 : // Computed prims and cons on face via reconstruction
187 : auto package_data_argvars_lower_face = make_array<3>(
188 : Variables<dg_package_data_argument_tags>(reconstructed_num_pts));
189 : auto package_data_argvars_upper_face = make_array<3>(
190 : Variables<dg_package_data_argument_tags>(reconstructed_num_pts));
191 : // Copy over the face values of the metric quantities.
192 : using spacetime_vars_to_copy =
193 : tmpl::list<gr::Tags::Lapse<DataVector>,
194 : gr::Tags::Shift<DataVector, 3>,
195 : gr::Tags::SpatialMetric<DataVector, 3>,
196 : gr::Tags::SqrtDetSpatialMetric<DataVector>,
197 : gr::Tags::InverseSpatialMetric<DataVector, 3>>;
198 : tmpl::for_each<spacetime_vars_to_copy>(
199 : [&package_data_argvars_lower_face,
200 : &package_data_argvars_upper_face,
201 : &spacetime_vars_on_face =
202 : db::get<evolution::dg::subcell::Tags::OnSubcellFaces<
203 : typename System::flux_spacetime_variables_tag, 3>>(
204 : *box)](auto tag_v) {
205 : using tag = tmpl::type_from<decltype(tag_v)>;
206 : for (size_t d = 0; d < 3; ++d) {
207 : get<tag>(gsl::at(package_data_argvars_lower_face, d)) =
208 : get<tag>(gsl::at(spacetime_vars_on_face, d));
209 : get<tag>(gsl::at(package_data_argvars_upper_face, d)) =
210 : get<tag>(gsl::at(spacetime_vars_on_face, d));
211 : }
212 : });
213 :
214 : // Reconstruct data to the face
215 : call_with_dynamic_type<void, typename grmhd::ValenciaDivClean::fd::
216 : Reconstructor::creatable_classes>(
217 : &recons, [&box, &package_data_argvars_lower_face,
218 : &package_data_argvars_upper_face,
219 : &reconstruction_order](const auto& reconstructor) {
220 : using ReconstructorType =
221 : std::decay_t<decltype(*reconstructor)>;
222 : db::apply<
223 : typename ReconstructorType::reconstruction_argument_tags>(
224 : [&package_data_argvars_lower_face,
225 : &package_data_argvars_upper_face, &reconstructor,
226 : &reconstruction_order](const auto&... args) {
227 : if constexpr (ReconstructorType::use_adaptive_order) {
228 : reconstructor->reconstruct(
229 : make_not_null(&package_data_argvars_lower_face),
230 : make_not_null(&package_data_argvars_upper_face),
231 : make_not_null(&reconstruction_order), args...);
232 : } else {
233 : (void)reconstruction_order;
234 : reconstructor->reconstruct(
235 : make_not_null(&package_data_argvars_lower_face),
236 : make_not_null(&package_data_argvars_upper_face),
237 : args...);
238 : }
239 : },
240 : *box);
241 : });
242 :
243 : using dg_package_field_tags =
244 : typename DerivedCorrection::dg_package_field_tags;
245 : // Allocated outside for loop to reduce allocations
246 : Variables<dg_package_field_tags> upper_packaged_data{
247 : reconstructed_num_pts};
248 : Variables<dg_package_field_tags> lower_packaged_data{
249 : reconstructed_num_pts};
250 :
251 : // Compute fluxes on faces
252 : for (size_t i = 0; i < 3; ++i) {
253 : // Build extents of mesh shifted by half a grid cell in direction i
254 : const unsigned long& num_subcells_1d = subcell_mesh.extents(0);
255 : Index<3> face_mesh_extents(std::array<size_t, 3>{
256 : num_subcells_1d, num_subcells_1d, num_subcells_1d});
257 : face_mesh_extents[i] = num_subcells_1d + 1;
258 :
259 : auto& vars_upper_face = gsl::at(package_data_argvars_upper_face, i);
260 : auto& vars_lower_face = gsl::at(package_data_argvars_lower_face, i);
261 : grmhd::ValenciaDivClean::subcell::compute_fluxes(
262 : make_not_null(&vars_upper_face));
263 : grmhd::ValenciaDivClean::subcell::compute_fluxes(
264 : make_not_null(&vars_lower_face));
265 :
266 : // Add moving mesh corrections to the fluxes, if needed
267 : std::optional<tnsr::I<DataVector, 3, Frame::Inertial>>
268 : mesh_velocity_on_face = {};
269 : if (mesh_velocity_dg.has_value()) {
270 : // Project mesh velocity on face mesh.
271 : // Can we get away with only doing the normal component? It
272 : // is also used in the packaged data...
273 : mesh_velocity_on_face = tnsr::I<DataVector, 3, Frame::Inertial>{
274 : reconstructed_num_pts};
275 : for (size_t j = 0; j < 3; j++) {
276 : // j^th component of the velocity on the i^th directed face
277 : mesh_velocity_on_face.value().get(j) =
278 : evolution::dg::subcell::fd::project_to_faces(
279 : mesh_velocity_dg.value().get(j), dg_mesh,
280 : face_mesh_extents, i);
281 : }
282 : tmpl::for_each<evolved_vars_tags>([&vars_upper_face,
283 : &vars_lower_face,
284 : &mesh_velocity_on_face](
285 : auto tag_v) {
286 : using tag = tmpl::type_from<decltype(tag_v)>;
287 : using flux_tag =
288 : ::Tags::Flux<tag, tmpl::size_t<3>, Frame::Inertial>;
289 : using FluxTensor = typename flux_tag::type;
290 : const auto& var_upper = get<tag>(vars_upper_face);
291 : const auto& var_lower = get<tag>(vars_lower_face);
292 : auto& flux_upper = get<flux_tag>(vars_upper_face);
293 : auto& flux_lower = get<flux_tag>(vars_lower_face);
294 : for (size_t storage_index = 0; storage_index < var_upper.size();
295 : ++storage_index) {
296 : const auto tensor_index =
297 : var_upper.get_tensor_index(storage_index);
298 : for (size_t j = 0; j < 3; j++) {
299 : const auto flux_storage_index =
300 : FluxTensor::get_storage_index(prepend(tensor_index, j));
301 : flux_upper[flux_storage_index] -=
302 : mesh_velocity_on_face.value().get(j) *
303 : var_upper[storage_index];
304 : flux_lower[flux_storage_index] -=
305 : mesh_velocity_on_face.value().get(j) *
306 : var_lower[storage_index];
307 : }
308 : }
309 : });
310 : }
311 :
312 : // Normal vectors in curved spacetime normalized by inverse
313 : // spatial metric. Note that we use the sign convention on
314 : // the normal vectors to be compatible with DG.
315 : //
316 : // Note that these normal vectors are on all faces inside the DG
317 : // element since there are a bunch of subcells. We don't use the
318 : // NormalCovectorAndMagnitude tag in the DataBox right now to avoid
319 : // conflicts with the DG solver. We can explore in the future if
320 : // it's possible to reuse that allocation.
321 : //
322 : // The unnormalized normal vector is
323 : // n_j = d \xi^{\hat i}/dx^j
324 : // with "i" the current face.
325 : tnsr::i<DataVector, 3, Frame::Inertial> lower_outward_conormal{
326 : reconstructed_num_pts, 0.0};
327 : for (size_t j = 0; j < 3; j++) {
328 : lower_outward_conormal.get(j) =
329 : evolution::dg::subcell::fd::project_to_faces(
330 : inv_jacobian_dg.get(i, j), dg_mesh, face_mesh_extents, i);
331 : }
332 : const auto det_inv_jacobian_face =
333 : evolution::dg::subcell::fd::project_to_faces(
334 : get(det_inv_jacobian_dg), dg_mesh, face_mesh_extents, i);
335 :
336 : const Scalar<DataVector> normalization{sqrt(get(
337 : dot_product(lower_outward_conormal, lower_outward_conormal,
338 : get<gr::Tags::InverseSpatialMetric<DataVector, 3>>(
339 : vars_upper_face))))};
340 : for (size_t j = 0; j < 3; j++) {
341 : lower_outward_conormal.get(j) =
342 : lower_outward_conormal.get(j) / get(normalization);
343 : }
344 :
345 : tnsr::i<DataVector, 3, Frame::Inertial> upper_outward_conormal{
346 : reconstructed_num_pts, 0.0};
347 : for (size_t j = 0; j < 3; j++) {
348 : upper_outward_conormal.get(j) = -lower_outward_conormal.get(j);
349 : }
350 : // Note: we probably should compute the normal vector in addition to
351 : // the co-vector. Not a huge issue since we'll get an FPE right now
352 : // if it's used by a Riemann solver.
353 :
354 : // Compute the packaged data
355 : using dg_package_data_projected_tags = tmpl::append<
356 : evolved_vars_tags, fluxes_tags, dg_package_data_temporary_tags,
357 : typename DerivedCorrection::dg_package_data_primitive_tags>;
358 : evolution::dg::Actions::detail::dg_package_data<System>(
359 : make_not_null(&upper_packaged_data), *derived_correction,
360 : vars_upper_face, upper_outward_conormal, mesh_velocity_on_face,
361 : *box, typename DerivedCorrection::dg_package_data_volume_tags{},
362 : dg_package_data_projected_tags{});
363 :
364 : evolution::dg::Actions::detail::dg_package_data<System>(
365 : make_not_null(&lower_packaged_data), *derived_correction,
366 : vars_lower_face, lower_outward_conormal, mesh_velocity_on_face,
367 : *box, typename DerivedCorrection::dg_package_data_volume_tags{},
368 : dg_package_data_projected_tags{});
369 :
370 : // Now need to check if any of our neighbors are doing DG,
371 : // because if so then we need to use whatever boundary data
372 : // they sent instead of what we computed locally.
373 : //
374 : // Note: We could check this beforehand to avoid the extra
375 : // work of reconstruction and flux computations at the
376 : // boundaries.
377 : evolution::dg::subcell::correct_package_data<true>(
378 : make_not_null(&lower_packaged_data),
379 : make_not_null(&upper_packaged_data), i, element, subcell_mesh,
380 : db::get<evolution::dg::Tags::MortarData<3>>(*box), 0);
381 :
382 : // Compute the corrections on the faces. We only need to
383 : // compute this once because we can just flip the normal
384 : // vectors then
385 : gsl::at(boundary_corrections, i).initialize(reconstructed_num_pts);
386 : evolution::dg::subcell::compute_boundary_terms(
387 : make_not_null(&gsl::at(boundary_corrections, i)),
388 : *derived_correction, upper_packaged_data, lower_packaged_data,
389 : db::as_access(*box),
390 : typename DerivedCorrection::dg_boundary_terms_volume_tags{});
391 : // We need to multiply by the normal vector normalization
392 : gsl::at(boundary_corrections, i) *= get(normalization);
393 : // Also multiply by determinant of Jacobian, following Eq.(34)
394 : // of 2109.11645
395 : gsl::at(boundary_corrections, i) *= 1.0 / det_inv_jacobian_face;
396 : }
397 : });
398 :
399 : // Now compute the actual time derivatives.
400 : using variables_tag = typename System::variables_tag;
401 : using dt_variables_tag = db::add_tag_prefix<::Tags::dt, variables_tag>;
402 : const gsl::not_null<typename dt_variables_tag::type*> dt_vars_ptr =
403 : db::mutate<dt_variables_tag>(
404 : [](const auto local_dt_vars_ptr) { return local_dt_vars_ptr; },
405 : box);
406 : dt_vars_ptr->initialize(subcell_mesh.number_of_grid_points());
407 :
408 : using grmhd_source_tags =
409 : tmpl::transform<ValenciaDivClean::ComputeSources::return_tags,
410 : tmpl::bind<db::remove_tag_prefix, tmpl::_1>>;
411 : sources_impl(
412 : dt_vars_ptr, *box, grmhd_source_tags{},
413 : typename grmhd::ValenciaDivClean::ComputeSources::argument_tags{});
414 :
415 : // Zero GRMHD tags that don't have sources.
416 : tmpl::for_each<typename variables_tag::tags_list>(
417 : [&dt_vars_ptr](auto evolved_var_tag_v) {
418 : using evolved_var_tag = tmpl::type_from<decltype(evolved_var_tag_v)>;
419 : using dt_tag = ::Tags::dt<evolved_var_tag>;
420 : auto& dt_var = get<dt_tag>(*dt_vars_ptr);
421 : for (size_t i = 0; i < dt_var.size(); ++i) {
422 : if constexpr (not tmpl::list_contains_v<grmhd_source_tags,
423 : evolved_var_tag>) {
424 : dt_var[i] = 0.0;
425 : }
426 : }
427 : });
428 :
429 : // Correction to source terms due to moving mesh
430 : if (div_mesh_velocity.has_value()) {
431 : const DataVector div_mesh_velocity_subcell =
432 : evolution::dg::subcell::fd::project(div_mesh_velocity.value().get(),
433 : dg_mesh, subcell_mesh.extents());
434 : const auto& evolved_vars = db::get<evolved_vars_tag>(*box);
435 :
436 : tmpl::for_each<typename variables_tag::tags_list>(
437 : [&dt_vars_ptr, &div_mesh_velocity_subcell,
438 : &evolved_vars](auto evolved_var_tag_v) {
439 : using evolved_var_tag =
440 : tmpl::type_from<decltype(evolved_var_tag_v)>;
441 : using dt_tag = ::Tags::dt<evolved_var_tag>;
442 : auto& dt_var = get<dt_tag>(*dt_vars_ptr);
443 : const auto& evolved_var = get<evolved_var_tag>(evolved_vars);
444 : for (size_t i = 0; i < dt_var.size(); ++i) {
445 : dt_var[i] -= div_mesh_velocity_subcell * evolved_var[i];
446 : }
447 : });
448 : }
449 :
450 : if (UNLIKELY(fd_derivative_order != ::fd::DerivativeOrder::Two)) {
451 : ERROR(
452 : "We don't yet have high-order flux corrections for curved/moving "
453 : "meshes and the implementation assumes curved/moving meshes. We need "
454 : "to dot the Cartesian fluxes into the cell-centered "
455 : "J inv(J)^{hat{i}}_j to get JF^{hat{i}} = J inv(J)^{hat{i}}_j F^j."
456 : " Some care needs to be taken since we also get F^j from our "
457 : "neighbors, which leaves the question as to whether to interpolate "
458 : "the _inertial fluxes_ and then transform or whether to transform "
459 : "and then interpolate the _densitized logical fluxes_.");
460 : }
461 : std::optional<std::array<Variables<evolved_vars_tags>, 3>>
462 : high_order_corrections{};
463 : ::fd::cartesian_high_order_flux_corrections(
464 : make_not_null(&high_order_corrections),
465 :
466 : db::get<evolution::dg::subcell::Tags::CellCenteredFlux<
467 : evolved_vars_tags, 3>>(*box),
468 : boundary_corrections, fd_derivative_order,
469 : db::get<evolution::dg::subcell::Tags::GhostDataForReconstruction<3>>(
470 : *box),
471 : subcell_mesh, recons.ghost_zone_size(),
472 : reconstruction_order.value_or(
473 : std::array<gsl::span<std::uint8_t>, 3>{}));
474 :
475 : const auto& cell_centered_det_inv_jacobian = db::get<
476 : evolution::dg::subcell::fd::Tags::DetInverseJacobianLogicalToInertial>(
477 : *box);
478 : for (size_t dim = 0; dim < 3; ++dim) {
479 : const auto& boundary_correction_in_axis =
480 : high_order_corrections.has_value()
481 : ? gsl::at(high_order_corrections.value(), dim)
482 : : gsl::at(boundary_corrections, dim);
483 : const double inverse_delta = gsl::at(one_over_delta_xi, dim);
484 : tmpl::for_each<typename variables_tag::tags_list>(
485 : [&dt_vars_ptr, &boundary_correction_in_axis,
486 : &cell_centered_det_inv_jacobian, dim, inverse_delta,
487 : &subcell_mesh](auto evolved_var_tag_v) {
488 : using evolved_var_tag =
489 : tmpl::type_from<decltype(evolved_var_tag_v)>;
490 : using dt_tag = ::Tags::dt<evolved_var_tag>;
491 : auto& dt_var = get<dt_tag>(*dt_vars_ptr);
492 : const auto& var_correction =
493 : get<evolved_var_tag>(boundary_correction_in_axis);
494 : for (size_t i = 0; i < dt_var.size(); ++i) {
495 : evolution::dg::subcell::add_cartesian_flux_divergence(
496 : make_not_null(&dt_var[i]), inverse_delta,
497 : get(cell_centered_det_inv_jacobian), var_correction[i],
498 : subcell_mesh.extents(), dim);
499 : }
500 : });
501 : }
502 :
503 : evolution::dg::subcell::store_reconstruction_order_in_databox(
504 : box, reconstruction_order);
505 : }
506 :
507 : private:
508 : template <typename DtVarsList, typename DbTagsList, typename... SourcedTags,
509 : typename... ArgsTags>
510 0 : static void sources_impl(
511 : const gsl::not_null<Variables<DtVarsList>*> dt_vars_ptr,
512 : const db::DataBox<DbTagsList>& box, tmpl::list<SourcedTags...> /*meta*/,
513 : tmpl::list<ArgsTags...> /*meta*/) {
514 : grmhd::ValenciaDivClean::ComputeSources::apply(
515 : get<::Tags::dt<SourcedTags>>(dt_vars_ptr)..., get<ArgsTags>(box)...);
516 : }
517 : };
518 : } // namespace grmhd::ValenciaDivClean::subcell
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