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diff --git a/Source/FieldSolver/FiniteDifferenceSolver/EvolveFPML.cpp b/Source/FieldSolver/FiniteDifferenceSolver/EvolveFPML.cpp
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+/* Copyright 2020 Remi Lehe
+ *
+ * This file is part of WarpX.
+ *
+ * License: BSD-3-Clause-LBNL
+ */
+
+#include "Utils/WarpXAlgorithmSelection.H"
+#include "FieldSolver/FiniteDifferenceSolver/FiniteDifferenceSolver.H"
+#ifdef WARPX_DIM_RZ
+# include "FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CylindricalYeeAlgorithm.H"
+#else
+# include "FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CartesianYeeAlgorithm.H"
+# include "FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CartesianCKCAlgorithm.H"
+# include "FieldSolver/FiniteDifferenceSolver/FiniteDifferenceAlgorithms/CartesianNodalAlgorithm.H"
+#endif
+#include "BoundaryConditions/PMLComponent.H"
+#include <AMReX_Gpu.H>
+
+using namespace amrex;
+
+/**
+ * \brief Update the E field, over one timestep
+ */
+void FiniteDifferenceSolver::EvolveFPML (
+ amrex::MultiFab* Ffield,
+ std::array< amrex::MultiFab*, 3 > const Efield,
+ amrex::Real const dt ) {
+
+ // Select algorithm (The choice of algorithm is a runtime option,
+ // but we compile code for each algorithm, using templates)
+#ifdef WARPX_DIM_RZ
+ amrex::Abort("PML are not implemented in cylindrical geometry.");
+#else
+ if (m_do_nodal) {
+
+ EvolveFPMLCartesian <CartesianNodalAlgorithm> ( Ffield, Efield, dt );
+
+ } else if (m_fdtd_algo == MaxwellSolverAlgo::Yee) {
+
+ EvolveFPMLCartesian <CartesianYeeAlgorithm> ( Ffield, Efield, dt );
+
+ } else if (m_fdtd_algo == MaxwellSolverAlgo::CKC) {
+
+ EvolveFPMLCartesian <CartesianCKCAlgorithm> ( Ffield, Efield, dt );
+
+ } else {
+ amrex::Abort("Unknown algorithm");
+ }
+#endif
+}
+
+
+#ifndef WARPX_DIM_RZ
+
+template<typename T_Algo>
+void FiniteDifferenceSolver::EvolveFPMLCartesian (
+ amrex::MultiFab* Ffield,
+ std::array< amrex::MultiFab*, 3 > const Efield,
+ amrex::Real const dt ) {
+
+ // Loop through the grids, and over the tiles within each grid
+#ifdef _OPENMP
+#pragma omp parallel if (amrex::Gpu::notInLaunchRegion())
+#endif
+ for ( MFIter mfi(*Ffield, TilingIfNotGPU()); mfi.isValid(); ++mfi ) {
+
+ // Extract field data for this grid/tile
+ Array4<Real> const& F = Ffield->array(mfi);
+ Array4<Real> const& Ex = Efield[0]->array(mfi);
+ Array4<Real> const& Ey = Efield[1]->array(mfi);
+ Array4<Real> const& Ez = Efield[2]->array(mfi);
+
+ // Extract stencil coefficients
+ Real const * const AMREX_RESTRICT coefs_x = m_stencil_coefs_x.dataPtr();
+ int const n_coefs_x = m_stencil_coefs_x.size();
+ Real const * const AMREX_RESTRICT coefs_y = m_stencil_coefs_y.dataPtr();
+ int const n_coefs_y = m_stencil_coefs_y.size();
+ Real const * const AMREX_RESTRICT coefs_z = m_stencil_coefs_z.dataPtr();
+ int const n_coefs_z = m_stencil_coefs_z.size();
+
+ // Extract tileboxes for which to loop
+ Box const& tf = mfi.tilebox(Ffield->ixType().ixType());
+
+ // Loop over the cells and update the fields
+ amrex::ParallelFor(tf,
+
+ [=] AMREX_GPU_DEVICE (int i, int j, int k){
+
+ F(i, j, k, PMLComp::x) += dt * (
+ T_Algo::DownwardDx(Ex, coefs_x, n_coefs_x, i, j, k, PMLComp::xx)
+ + T_Algo::DownwardDx(Ex, coefs_x, n_coefs_x, i, j, k, PMLComp::xy)
+ + T_Algo::DownwardDx(Ex, coefs_x, n_coefs_x, i, j, k, PMLComp::xz) );
+
+ F(i, j, k, PMLComp::y) += dt * (
+ T_Algo::DownwardDy(Ey, coefs_y, n_coefs_y, i, j, k, PMLComp::yx)
+ + T_Algo::DownwardDy(Ey, coefs_y, n_coefs_y, i, j, k, PMLComp::yy)
+ + T_Algo::DownwardDy(Ey, coefs_y, n_coefs_y, i, j, k, PMLComp::yz) );
+
+ F(i, j, k, PMLComp::z) += dt * (
+ T_Algo::DownwardDz(Ez, coefs_z, n_coefs_z, i, j, k, PMLComp::zx)
+ + T_Algo::DownwardDz(Ez, coefs_z, n_coefs_z, i, j, k, PMLComp::zy)
+ + T_Algo::DownwardDz(Ez, coefs_z, n_coefs_z, i, j, k, PMLComp::zz) );
+
+ }
+
+ );
+
+ }
+
+}
+
+#endif // corresponds to ifndef WARPX_DIM_RZ