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/* Copyright 2019-2020 David Grote
*
* This file is part of WarpX.
*
* License: BSD-3-Clause-LBNL
*/
#include "Utils/WarpXConst.H"
#include "SpectralHankelTransformer.H"
#include <memory>
SpectralHankelTransformer::SpectralHankelTransformer (int const nr,
int const n_rz_azimuthal_modes,
amrex::Real const rmax)
: m_nr(nr), m_n_rz_azimuthal_modes(n_rz_azimuthal_modes)
{
dht0.resize(m_n_rz_azimuthal_modes);
dhtp.resize(m_n_rz_azimuthal_modes);
dhtm.resize(m_n_rz_azimuthal_modes);
for (int mode=0 ; mode < m_n_rz_azimuthal_modes ; mode++) {
dht0[mode] = std::make_unique<HankelTransform>(mode , mode, m_nr, rmax);
dhtp[mode] = std::make_unique<HankelTransform>(mode+1, mode, m_nr, rmax);
dhtm[mode] = std::make_unique<HankelTransform>(mode-1, mode, m_nr, rmax);
}
ExtractKrArray();
}
/* \brief Extracts the kr for all of the modes
* This needs to be separate since the ParallelFor cannot be in the constructor. */
void
SpectralHankelTransformer::ExtractKrArray ()
{
m_kr.resize(m_nr*m_n_rz_azimuthal_modes);
for (int mode=0 ; mode < m_n_rz_azimuthal_modes ; mode++) {
// Save a copy of all of the kr's in one place to allow easy access later.
// They are stored with the kr's of each mode grouped together.
amrex::Real *kr_array = m_kr.dataPtr();
auto const & kr_mode = dht0[mode]->getSpectralWavenumbers();
auto const & kr_m_array = kr_mode.dataPtr();
int const nr_temp = m_nr;
amrex::ParallelFor(m_nr,
[=] AMREX_GPU_DEVICE (int ir)
{
int const ii = ir + mode*nr_temp;
kr_array[ii] = kr_m_array[ir];
});
}
amrex::Gpu::synchronize();
}
/* \brief Converts a scalar field from the physical to the spectral space for all modes */
void
SpectralHankelTransformer::PhysicalToSpectral_Scalar (amrex::FArrayBox const & F_physical,
amrex::FArrayBox & G_spectral)
{
// The Hankel transform is purely real, so the real and imaginary parts of
// F can be transformed separately, so a simple loop over components
// can be done.
// Note that F_physical does not include the imaginary part of mode 0,
// but G_spectral does.
for (int mode=0 ; mode < m_n_rz_azimuthal_modes ; mode++) {
int const mode_r = 2*mode;
int const mode_i = 2*mode + 1;
if (mode == 0) {
int const icomp = 0;
dht0[mode]->HankelForwardTransform(F_physical, icomp, G_spectral, mode_r);
G_spectral.setVal<amrex::RunOn::Device>(0., mode_i);
} else {
int const icomp = 2*mode - 1;
dht0[mode]->HankelForwardTransform(F_physical, icomp , G_spectral, mode_r);
dht0[mode]->HankelForwardTransform(F_physical, icomp+1, G_spectral, mode_i);
}
}
}
/* \brief Converts a vector field from the physical to the spectral space for all modes */
void
SpectralHankelTransformer::PhysicalToSpectral_Vector (amrex::Box const & box,
amrex::FArrayBox & F_r_physical,
amrex::FArrayBox & F_t_physical,
amrex::FArrayBox & G_p_spectral,
amrex::FArrayBox & G_m_spectral)
{
// Note that F and G include the imaginary part of mode 0.
// F will be overwritten (by the + and - data).
using amrex::operator""_rt;
amrex::Array4<amrex::Real> const & F_r_physical_array = F_r_physical.array();
amrex::Array4<amrex::Real> const & F_t_physical_array = F_t_physical.array();
for (int mode=0 ; mode < m_n_rz_azimuthal_modes ; mode++) {
int const mode_r = 2*mode;
int const mode_i = 2*mode + 1;
amrex::ParallelFor(box,
[=] AMREX_GPU_DEVICE (int i, int j, int k)
{
amrex::Real const r_real = F_r_physical_array(i,j,k,mode_r);
amrex::Real const r_imag = F_r_physical_array(i,j,k,mode_i);
amrex::Real const t_real = F_t_physical_array(i,j,k,mode_r);
amrex::Real const t_imag = F_t_physical_array(i,j,k,mode_i);
// Combine the values
// temp_p = (F_r - I*F_t)/2
// temp_m = (F_r + I*F_t)/2
F_r_physical_array(i,j,k,mode_r) = 0.5_rt*(r_real + t_imag);
F_r_physical_array(i,j,k,mode_i) = 0.5_rt*(r_imag - t_real);
F_t_physical_array(i,j,k,mode_r) = 0.5_rt*(r_real - t_imag);
F_t_physical_array(i,j,k,mode_i) = 0.5_rt*(r_imag + t_real);
});
amrex::Gpu::streamSynchronize();
dhtp[mode]->HankelForwardTransform(F_r_physical, mode_r, G_p_spectral, mode_r);
dhtp[mode]->HankelForwardTransform(F_r_physical, mode_i, G_p_spectral, mode_i);
dhtm[mode]->HankelForwardTransform(F_t_physical, mode_r, G_m_spectral, mode_r);
dhtm[mode]->HankelForwardTransform(F_t_physical, mode_i, G_m_spectral, mode_i);
}
}
/* \brief Converts a scalar field from the spectral to the physical space for all modes */
void
SpectralHankelTransformer::SpectralToPhysical_Scalar (amrex::FArrayBox const & G_spectral,
amrex::FArrayBox & F_physical)
{
// The Hankel inverse transform is purely real, so the real and imaginary parts of
// F can be transformed separately, so a simple loop over components
// can be done.
// Note that F_physical does not include the imaginary part of mode 0,
// but G_spectral does.
amrex::Gpu::streamSynchronize();
for (int mode=0 ; mode < m_n_rz_azimuthal_modes ; mode++) {
int const mode_r = 2*mode;
int const mode_i = 2*mode + 1;
if (mode == 0) {
int const icomp = 0;
dht0[mode]->HankelInverseTransform(G_spectral, mode_r, F_physical, icomp);
} else {
int const icomp = 2*mode - 1;
dht0[mode]->HankelInverseTransform(G_spectral, mode_r, F_physical, icomp);
dht0[mode]->HankelInverseTransform(G_spectral, mode_i, F_physical, icomp+1);
}
}
}
/* \brief Converts a vector field from the spectral to the physical space for all modes */
void
SpectralHankelTransformer::SpectralToPhysical_Vector (amrex::Box const & box,
amrex::FArrayBox const& G_p_spectral,
amrex::FArrayBox const& G_m_spectral,
amrex::FArrayBox & F_r_physical,
amrex::FArrayBox & F_t_physical)
{
// Note that F and G include the imaginary part of mode 0.
amrex::Array4<amrex::Real> const & F_r_physical_array = F_r_physical.array();
amrex::Array4<amrex::Real> const & F_t_physical_array = F_t_physical.array();
for (int mode=0 ; mode < m_n_rz_azimuthal_modes ; mode++) {
int const mode_r = 2*mode;
int const mode_i = 2*mode + 1;
amrex::Gpu::streamSynchronize();
dhtp[mode]->HankelInverseTransform(G_p_spectral, mode_r, F_r_physical, mode_r);
dhtp[mode]->HankelInverseTransform(G_p_spectral, mode_i, F_r_physical, mode_i);
dhtm[mode]->HankelInverseTransform(G_m_spectral, mode_r, F_t_physical, mode_r);
dhtm[mode]->HankelInverseTransform(G_m_spectral, mode_i, F_t_physical, mode_i);
amrex::Gpu::streamSynchronize();
amrex::ParallelFor(box,
[=] AMREX_GPU_DEVICE (int i, int j, int k)
{
amrex::Real const p_real = F_r_physical_array(i,j,k,mode_r);
amrex::Real const p_imag = F_r_physical_array(i,j,k,mode_i);
amrex::Real const m_real = F_t_physical_array(i,j,k,mode_r);
amrex::Real const m_imag = F_t_physical_array(i,j,k,mode_i);
// Combine the values
// F_r = G_p + G_m
// F_t = I*(G_p - G_m)
F_r_physical_array(i,j,k,mode_r) = p_real + m_real;
F_r_physical_array(i,j,k,mode_i) = p_imag + m_imag;
F_t_physical_array(i,j,k,mode_r) = -p_imag + m_imag;
F_t_physical_array(i,j,k,mode_i) = p_real - m_real;
});
}
}
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