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 <optional>
9 :
10 : #include "DataStructures/DataVector.hpp"
11 : #include "DataStructures/SimpleSparseMatrix.hpp"
12 : #include "DataStructures/Tensor/TypeAliases.hpp"
13 : #include "DataStructures/Variables.hpp"
14 : #include "Evolution/Systems/ScalarWave/ApplyTensorYlmFilter.hpp"
15 : #include "NumericalAlgorithms/Spectral/Mesh.hpp"
16 : #include "Utilities/Gsl.hpp"
17 :
18 : namespace ScalarWave::power_monitor {
19 :
20 : /// Holds separate SW shell power monitors for each evolved SW variable.
21 : /// Index 0 is the radial monitor and index 1 is the angular monitor.
22 1 : struct SwShellPowerMonitors {
23 0 : std::array<DataVector, 2> psi{};
24 0 : std::array<DataVector, 2> pi{};
25 0 : std::array<DataVector, 2> phi{};
26 : };
27 :
28 : /// Sparse matrix for Cartesian-component to TensorYlm-basis transform.
29 : /// Only the rank-1 (`i`) matrix is needed for the ScalarWave system, since
30 : /// \f$\Phi_i\f$ is the only non-scalar evolved variable.
31 1 : struct SwCartToSphereMatrix {
32 0 : std::optional<SimpleSparseMatrix> i{};
33 : };
34 :
35 : /// Fill the Cartesian-to-TensorYlm sparse matrix with Spherepack normalization
36 : /// if not already filled.
37 1 : void fill_sw_cart_to_sphere_matrix(gsl::not_null<SwCartToSphereMatrix*> matrix,
38 : size_t ell_max);
39 :
40 : /*!
41 : * \brief Compute radial and angular power monitors for the evolved ScalarWave
42 : * variables on a spherical shell.
43 : *
44 : * Each monitor is an array containing the radial monitor at index 0 and the
45 : * angular monitor at index 1. Radial monitors are computed from the original
46 : * SW variables, matching SpEC's shell radial power monitor behavior. Angular
47 : * monitors are computed after transforming \f$\Phi_i\f$ to TensorYlm
48 : * coefficients using `jac_inertial_to_grid` for the frame transform.
49 : * \f$\Psi\f$ and \f$\Pi\f$ are scalars and need no frame transform.
50 : *
51 : * The Cartesian-to-TensorYlm matrix is filled on first use and reused on
52 : * subsequent calls.
53 : *
54 : * \param cart_to_sphere_matrix Cache for the Cartesian-to-TensorYlm sparse
55 : * matrix.
56 : * \param sw_vars ScalarWave variables at collocation points on the shell mesh.
57 : * \param mesh The spherical-shell mesh with dimensions `(radial, theta, phi)`.
58 : * \param jac_inertial_to_grid Inverse Jacobian mapping inertial-frame spatial
59 : * tensor components to the grid frame.
60 : */
61 1 : SwShellPowerMonitors sw_shell_power_monitors(
62 : gsl::not_null<SwCartToSphereMatrix*> cart_to_sphere_matrix,
63 : const Variables<
64 : ylm::TensorYlm::filter_detail::sw_vars_list<Frame::Inertial>>& sw_vars,
65 : const Mesh<3>& mesh,
66 : const InverseJacobian<DataVector, 3, Frame::Inertial, Frame::Grid>&
67 : jac_inertial_to_grid);
68 :
69 : } // namespace ScalarWave::power_monitor
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