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+/* Copyright 2019
+ *
+ * This file is part of WarpX.
+ *
+ * License: BSD-3-Clause-LBNL
+ */
+#ifndef WARPX_PSATD_ALGORITHM_J_CONSTANT_IN_TIME_H_
+#define WARPX_PSATD_ALGORITHM_J_CONSTANT_IN_TIME_H_
+
+#include "FieldSolver/SpectralSolver/SpectralFieldData.H"
+#include "FieldSolver/SpectralSolver/SpectralKSpace.H"
+#include "SpectralBaseAlgorithm.H"
+
+#include <AMReX_Array.H>
+#include <AMReX_Config.H>
+#include <AMReX_REAL.H>
+
+#include <AMReX_BaseFwd.H>
+
+#include <array>
+#include <memory>
+
+#if WARPX_USE_PSATD
+/* \brief Class that updates the field in spectral space
+ * and stores the coefficients of the corresponding update equation.
+ */
+class PsatdAlgorithmJConstantInTime : public SpectralBaseAlgorithm
+{
+ public:
+
+ /**
+ * \brief Constructor of the class PsatdAlgorithmJConstantInTime
+ *
+ * \param[in] spectral_kspace spectral space
+ * \param[in] dm distribution mapping
+ * \param[in] spectral_index object containing indices to access data in spectral space
+ * \param[in] norder_x order of the spectral solver along x
+ * \param[in] norder_y order of the spectral solver along y
+ * \param[in] norder_z order of the spectral solver along z
+ * \param[in] nodal whether the E and B fields are defined on a fully nodal grid or a Yee grid
+ * \param[in] v_galilean Galilean velocity (three-dimensional array)
+ * \param[in] dt time step of the simulation
+ * \param[in] update_with_rho whether the update equation for E uses rho or not
+ * \param[in] time_averaging whether to use time averaging for large time steps
+ * \param[in] dive_cleaning Update F as part of the field update, so that errors in divE=rho propagate away at the speed of light
+ * \param[in] divb_cleaning Update G as part of the field update, so that errors in divB=0 propagate away at the speed of light
+ */
+ PsatdAlgorithmJConstantInTime (
+ const SpectralKSpace& spectral_kspace,
+ const amrex::DistributionMapping& dm,
+ const SpectralFieldIndex& spectral_index,
+ const int norder_x,
+ const int norder_y,
+ const int norder_z,
+ const bool nodal,
+ const amrex::Vector<amrex::Real>& v_galilean,
+ const amrex::Real dt,
+ const bool update_with_rho,
+ const bool time_averaging,
+ const bool dive_cleaning,
+ const bool divb_cleaning);
+
+ /**
+ * \brief Updates the E and B fields in spectral space, according to the relevant PSATD equations
+ *
+ * \param[in,out] f all the fields in spectral space
+ */
+ virtual void pushSpectralFields (SpectralFieldData& f) const override final;
+
+ /**
+ * \brief Initializes the coefficients used in \c pushSpectralFields to update the E and B fields
+ *
+ * \param[in] spectral_kspace spectral space
+ * \param[in] dm distribution mapping
+ * \param[in] dt time step of the simulation
+ */
+ void InitializeSpectralCoefficients (
+ const SpectralKSpace& spectral_kspace,
+ const amrex::DistributionMapping& dm,
+ const amrex::Real dt);
+
+ /**
+ * \brief Initializes additional coefficients used in \c pushSpectralFields to update the E and B fields,
+ * required only when using time averaging with large time steps
+ *
+ * \param[in] spectral_kspace spectral space
+ * \param[in] dm distribution mapping
+ * \param[in] dt time step of the simulation
+ */
+ void InitializeSpectralCoefficientsAveraging (
+ const SpectralKSpace& spectral_kspace,
+ const amrex::DistributionMapping& dm,
+ const amrex::Real dt);
+
+ /**
+ * \brief Virtual function for current correction in Fourier space
+ * (<a href="https://doi.org/10.1016/j.jcp.2013.03.010"> Vay et al, 2013</a>).
+ * This function overrides the virtual function \c CurrentCorrection in the
+ * base class \c SpectralBaseAlgorithm and cannot be overridden by further
+ * derived classes.
+ *
+ * \param[in,out] field_data All fields in Fourier space
+ */
+ virtual void CurrentCorrection (SpectralFieldData& field_data) override final;
+
+ /**
+ * \brief Virtual function for Vay current deposition in Fourier space
+ * (<a href="https://doi.org/10.1016/j.jcp.2013.03.010"> Vay et al, 2013</a>).
+ * This function overrides the virtual function \c VayDeposition in the
+ * base class \c SpectralBaseAlgorithm and cannot be overridden by further
+ * derived classes.
+ *
+ * \param[in,out] field_data All fields in Fourier space
+ */
+ virtual void VayDeposition (SpectralFieldData& field_data) override final;
+
+ private:
+
+ // These real and complex coefficients are always allocated
+ SpectralRealCoefficients C_coef, S_ck_coef;
+ SpectralComplexCoefficients T2_coef, X1_coef, X2_coef, X3_coef, X4_coef;
+
+ // These real and complex coefficients are allocated only with averaged Galilean PSATD
+ SpectralComplexCoefficients Psi1_coef, Psi2_coef, Y1_coef, Y2_coef, Y3_coef, Y4_coef;
+
+ SpectralFieldIndex m_spectral_index;
+
+ // Centered modified finite-order k vectors
+ KVectorComponent modified_kx_vec_centered;
+#if defined(WARPX_DIM_3D)
+ KVectorComponent modified_ky_vec_centered;
+#endif
+ KVectorComponent modified_kz_vec_centered;
+
+ // Other member variables
+ amrex::Vector<amrex::Real> m_v_galilean;
+ amrex::Real m_dt;
+ bool m_update_with_rho;
+ bool m_time_averaging;
+ bool m_dive_cleaning;
+ bool m_divb_cleaning;
+ bool m_is_galilean;
+};
+#endif // WARPX_USE_PSATD
+#endif // WARPX_PSATD_ALGORITHM_J_CONSTANT_IN_TIME_H_