Line data Source code
1 0 : // Distributed under the MIT License.
2 : // See LICENSE.txt for details.
3 :
4 : #pragma once
5 :
6 : #include <boost/math/special_functions/spherical_harmonic.hpp>
7 : #include <cstddef>
8 : #include <optional>
9 : #include <vector>
10 :
11 : #include "DataStructures/DataBox/Tag.hpp"
12 : #include "DataStructures/DataVector.hpp"
13 : #include "DataStructures/Tags/TempTensor.hpp"
14 : #include "DataStructures/Tensor/EagerMath/DotProduct.hpp"
15 : #include "DataStructures/Tensor/Slice.hpp"
16 : #include "DataStructures/Variables.hpp"
17 : #include "Domain/AreaElement.hpp"
18 : #include "Domain/ExcisionSphere.hpp"
19 : #include "Domain/Structure/Direction.hpp"
20 : #include "Domain/Structure/IndexToSliceAt.hpp"
21 : #include "Domain/Tags.hpp"
22 : #include "Domain/TagsTimeDependent.hpp"
23 : #include "Evolution/Systems/CurvedScalarWave/System.hpp"
24 : #include "Evolution/Systems/CurvedScalarWave/Tags.hpp"
25 : #include "Evolution/Systems/CurvedScalarWave/Worldtube/ElementActions/ReceiveWorldtubeData.hpp"
26 : #include "Evolution/Systems/CurvedScalarWave/Worldtube/Inboxes.hpp"
27 : #include "Evolution/Systems/CurvedScalarWave/Worldtube/SingletonChare.hpp"
28 : #include "Evolution/Systems/CurvedScalarWave/Worldtube/Tags.hpp"
29 : #include "NumericalAlgorithms/LinearOperators/DefiniteIntegral.hpp"
30 : #include "NumericalAlgorithms/LinearOperators/PartialDerivatives.hpp"
31 : #include "NumericalAlgorithms/SphericalHarmonics/RealSphericalHarmonics.hpp"
32 : #include "Parallel/AlgorithmExecution.hpp"
33 : #include "Parallel/GlobalCache.hpp"
34 : #include "Parallel/Invoke.hpp"
35 : #include "PointwiseFunctions/GeneralRelativity/Tags.hpp"
36 : #include "Utilities/ErrorHandling/Assert.hpp"
37 : #include "Utilities/Gsl.hpp"
38 : #include "Utilities/TMPL.hpp"
39 :
40 : /// \cond
41 : namespace Tags {
42 : struct TimeStepId;
43 : } // namespace Tags
44 : /// \endcond
45 :
46 : namespace CurvedScalarWave::Worldtube::Actions {
47 : /*!
48 : * \brief Projects the regular field \f$\Psi^R\f$ and its time derivative
49 : * \f$\partial_t \Psi^R\f$ onto real spherical harmonics and sends the result to
50 : * the worldtube.
51 : *
52 : * \details The regular field is obtained by subtracting the singular/puncture
53 : * field from the numerical DG field.
54 : * All spherical harmonics are computed for \f$l <= n\f$, where \f$n\f$ is the
55 : * worldtube expansion order. The projection is done by integrating over the DG
56 : * grid of the element face using \ref definite_integral with the euclidean area
57 : * element. The worldtube adds up all integrals from the different elements to
58 : * obtain the integral over the entire sphere.
59 : *
60 : * DataBox:
61 : * - Uses:
62 : * - `tags_to_slice_on_face`
63 : * - `Worldtube::Tags::ExpansionOrder`
64 : * - `Worldtube::Tags::FaceCoordinates<Dim, Frame::Inertial, true>`
65 : * - `Worldtube::Tags::GeodesicPunctureField`
66 : * - `Worldtube::Tags::ExcisionSphere`
67 : * - `Tags::TimeStepId`
68 : */
69 1 : struct SendToWorldtube {
70 0 : static constexpr size_t Dim = 3;
71 0 : using tags_to_send = tmpl::list<CurvedScalarWave::Tags::Psi,
72 : ::Tags::dt<CurvedScalarWave::Tags::Psi>>;
73 0 : using tags_to_slice_to_face =
74 : tmpl::list<CurvedScalarWave::Tags::Psi, CurvedScalarWave::Tags::Pi,
75 : CurvedScalarWave::Tags::Phi<Dim>,
76 : gr::Tags::Shift<DataVector, Dim>, gr::Tags::Lapse<DataVector>,
77 : domain::Tags::InverseJacobian<Dim, Frame::ElementLogical,
78 : Frame::Inertial>>;
79 :
80 : template <typename DbTagsList, typename... InboxTags, typename Metavariables,
81 : typename ArrayIndex, typename ActionList,
82 : typename ParallelComponent>
83 0 : static Parallel::iterable_action_return_t apply(
84 : db::DataBox<DbTagsList>& box,
85 : tuples::TaggedTuple<InboxTags...>& /*inboxes*/,
86 : Parallel::GlobalCache<Metavariables>& cache,
87 : const ArrayIndex& /*array_index*/, const ActionList /*meta*/,
88 : const ParallelComponent* const /*meta*/) {
89 : const auto& element_id = db::get<domain::Tags::Element<Dim>>(box).id();
90 : const auto& excision_sphere = db::get<Tags::ExcisionSphere<Dim>>(box);
91 : const auto direction = excision_sphere.abutting_direction(element_id);
92 : if (not direction.has_value()) {
93 : return {Parallel::AlgorithmExecution::Continue, std::nullopt};
94 : }
95 : const auto& mesh = db::get<domain::Tags::Mesh<Dim>>(box);
96 : const auto face_mesh = mesh.slice_away(direction->dimension());
97 : const size_t face_size = face_mesh.number_of_grid_points();
98 :
99 : Variables<tmpl::list<
100 : CurvedScalarWave::Tags::Psi, ::Tags::dt<CurvedScalarWave::Tags::Psi>,
101 : ::Tags::TempScalar<0>, ::Tags::TempScalar<1>, ::Tags::TempScalar<2>>>
102 : temporaries(face_size);
103 : auto& psi_regular_times_det =
104 : get(get<CurvedScalarWave::Tags::Psi>(temporaries));
105 : auto& dt_psi_regular_times_det =
106 : get(get<::Tags::dt<CurvedScalarWave::Tags::Psi>>(temporaries));
107 : auto& theta = get(get<::Tags::TempScalar<0>>(temporaries));
108 : auto& phi = get(get<::Tags::TempScalar<1>>(temporaries));
109 : auto& spherical_harmonic = get(get<::Tags::TempScalar<2>>(temporaries));
110 : const auto& face_quantities = db::get<Tags::FaceQuantities>(box).value();
111 : const auto& psi_numerical_face =
112 : get<CurvedScalarWave::Tags::Psi>(face_quantities);
113 : const auto& dt_psi_numerical_face =
114 : get<::Tags::dt<CurvedScalarWave::Tags::Psi>>(face_quantities);
115 : const auto& area_element =
116 : get<gr::surfaces::Tags::AreaElement<DataVector>>(face_quantities);
117 : const auto& puncture_field =
118 : db::get<Tags::CurrentIteration>(box) > 0
119 : ? db::get<Tags::IteratedPunctureField<Dim>>(box).value()
120 : : db::get<Tags::GeodesicPunctureField<Dim>>(box).value();
121 : const auto& psi_puncture = get<CurvedScalarWave::Tags::Psi>(puncture_field);
122 : const auto& dt_psi_puncture =
123 : get<::Tags::dt<CurvedScalarWave::Tags::Psi>>(puncture_field);
124 :
125 : psi_regular_times_det =
126 : (get(psi_numerical_face) - get(psi_puncture)) * get(area_element);
127 : dt_psi_regular_times_det =
128 : (get(dt_psi_numerical_face) - get(dt_psi_puncture)) * get(area_element);
129 : const auto& centered_face_coords =
130 : db::get<Tags::FaceCoordinates<Dim, Frame::Inertial, true>>(box);
131 : ASSERT(centered_face_coords.has_value(),
132 : "Should be an abutting element here, but face coords are not "
133 : "calculated!");
134 : const auto& x = get<0>(centered_face_coords.value());
135 : const auto& y = get<1>(centered_face_coords.value());
136 : const auto& z = get<2>(centered_face_coords.value());
137 :
138 : const size_t order = db::get<Worldtube::Tags::ExpansionOrder>(box);
139 : const size_t num_modes = (order + 1) * (order + 1);
140 : Variables<tags_to_send> Ylm_coefs(num_modes);
141 : theta = atan2(hypot(x, y), z);
142 : phi = atan2(y, x);
143 : size_t index = 0;
144 : // project onto spherical harmonics
145 : for (size_t l = 0; l <= order; ++l) {
146 : // NOLINTNEXTLINE(bugprone-narrowing-conversions,cppcoreguidelines-narrowing-conversions)
147 : for (int m = -l; m <= static_cast<int>(l); ++m, ++index) {
148 : spherical_harmonic = ylm::real_spherical_harmonic(theta, phi, l, m);
149 : get(get<CurvedScalarWave::Tags::Psi>(Ylm_coefs)).at(index) =
150 : definite_integral(psi_regular_times_det * spherical_harmonic,
151 : face_mesh);
152 : get(get<::Tags::dt<CurvedScalarWave::Tags::Psi>>(Ylm_coefs)).at(index) =
153 : definite_integral(dt_psi_regular_times_det * spherical_harmonic,
154 : face_mesh);
155 : }
156 : }
157 : ASSERT(index == num_modes, "Internal indexing error. "
158 : << num_modes
159 : << " modes should have been calculated but "
160 : << index << " modes were computed.");
161 :
162 : auto& worldtube_component = Parallel::get_parallel_component<
163 : Worldtube::WorldtubeSingleton<Metavariables>>(cache);
164 : Parallel::receive_data<Worldtube::Tags::SphericalHarmonicsInbox<Dim>>(
165 : worldtube_component, db::get<::Tags::TimeStepId>(box),
166 : std::make_pair(element_id, std::move(Ylm_coefs)));
167 : if (db::get<Tags::CurrentIteration>(box) + 1 <
168 : db::get<Tags::MaxIterations>(box) ) {
169 : db::mutate<Tags::CurrentIteration>(
170 : [](const gsl::not_null<size_t*> current_iteration) {
171 : *current_iteration += 1;
172 : },
173 : make_not_null(&box));
174 : // still iterating, go to `IteratePunctureField`
175 : return {Parallel::AlgorithmExecution::Continue, std::nullopt};
176 :
177 : } else {
178 : db::mutate<Tags::CurrentIteration>(
179 : [](const gsl::not_null<size_t*> current_iteration) {
180 : *current_iteration = 0;
181 : },
182 : make_not_null(&box));
183 : // done iterating, get data for BCs
184 : return {Parallel::AlgorithmExecution::Continue,
185 : tmpl::index_of<ActionList, ReceiveWorldtubeData>::value};
186 : }
187 : }
188 : };
189 : } // namespace CurvedScalarWave::Worldtube::Actions
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