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/* Copyright 2019-2020 Yinjian Zhao
*
* This file is part of WarpX.
*
* License: BSD-3-Clause-LBNL
*/
#include "FieldEnergy.H"
#include "Diagnostics/ReducedDiags/ReducedDiags.H"
#include "Utils/TextMsg.H"
#include "Utils/WarpXConst.H"
#include "WarpX.H"
#include <AMReX_Array4.H>
#include <AMReX_Config.H>
#include <AMReX_FArrayBox.H>
#include <AMReX_FabArray.H>
#include <AMReX_MFIter.H>
#include <AMReX_Geometry.H>
#include <AMReX_MultiFab.H>
#include <AMReX_ParallelDescriptor.H>
#include <AMReX_ParmParse.H>
#include <AMReX_REAL.H>
#include <algorithm>
#include <fstream>
#include <vector>
using namespace amrex;
// constructor
FieldEnergy::FieldEnergy (std::string rd_name)
: ReducedDiags{rd_name}
{
// read number of levels
int nLevel = 0;
const ParmParse pp_amr("amr");
pp_amr.query("max_level", nLevel);
nLevel += 1;
constexpr int noutputs = 3; // total energy, E-field energy and B-field energy
// resize data array
m_data.resize(noutputs*nLevel, 0.0_rt);
if (ParallelDescriptor::IOProcessor())
{
if ( m_write_header )
{
// open file
std::ofstream ofs{m_path + m_rd_name + "." + m_extension, std::ofstream::out};
// write header row
int c = 0;
ofs << "#";
ofs << "[" << c++ << "]step()";
ofs << m_sep;
ofs << "[" << c++ << "]time(s)";
for (int lev = 0; lev < nLevel; ++lev)
{
ofs << m_sep;
ofs << "[" << c++ << "]total_lev" + std::to_string(lev) + "(J)";
ofs << m_sep;
ofs << "[" << c++ << "]E_lev" + std::to_string(lev) + "(J)";
ofs << m_sep;
ofs << "[" << c++ << "]B_lev" + std::to_string(lev) + "(J)";
}
ofs << std::endl;
// close file
ofs.close();
}
}
}
// end constructor
// function that computes field energy
void FieldEnergy::ComputeDiags (int step)
{
// Judge if the diags should be done
if (!m_intervals.contains(step+1)) { return; }
// get a reference to WarpX instance
auto & warpx = WarpX::GetInstance();
// get number of level
const auto nLevel = warpx.finestLevel() + 1;
// loop over refinement levels
for (int lev = 0; lev < nLevel; ++lev)
{
// get MultiFab data at lev
const MultiFab & Ex = warpx.getEfield(lev,0);
const MultiFab & Ey = warpx.getEfield(lev,1);
const MultiFab & Ez = warpx.getEfield(lev,2);
const MultiFab & Bx = warpx.getBfield(lev,0);
const MultiFab & By = warpx.getBfield(lev,1);
const MultiFab & Bz = warpx.getBfield(lev,2);
// get cell size
Geometry const & geom = warpx.Geom(lev);
#if defined(WARPX_DIM_1D_Z)
auto dV = geom.CellSize(0);
#elif defined(WARPX_DIM_XZ) || defined(WARPX_DIM_RZ)
auto dV = geom.CellSize(0) * geom.CellSize(1);
#elif defined(WARPX_DIM_3D)
auto dV = geom.CellSize(0) * geom.CellSize(1) * geom.CellSize(2);
#endif
#if defined(WARPX_DIM_RZ)
amrex::Real const tmpEx = ComputeNorm2RZ(Ex, lev);
amrex::Real const tmpEy = ComputeNorm2RZ(Ey, lev);
amrex::Real const tmpEz = ComputeNorm2RZ(Ez, lev);
amrex::Real const Es = tmpEx + tmpEy + tmpEz;
amrex::Real const tmpBx = ComputeNorm2RZ(Bx, lev);
amrex::Real const tmpBy = ComputeNorm2RZ(By, lev);
amrex::Real const tmpBz = ComputeNorm2RZ(Bz, lev);
amrex::Real const Bs = tmpBx + tmpBy + tmpBz;
#else
// compute E squared
Real const tmpEx = Ex.norm2(0,geom.periodicity());
Real const tmpEy = Ey.norm2(0,geom.periodicity());
Real const tmpEz = Ez.norm2(0,geom.periodicity());
Real const Es = tmpEx*tmpEx + tmpEy*tmpEy + tmpEz*tmpEz;
// compute B squared
Real const tmpBx = Bx.norm2(0,geom.periodicity());
Real const tmpBy = By.norm2(0,geom.periodicity());
Real const tmpBz = Bz.norm2(0,geom.periodicity());
Real const Bs = tmpBx*tmpBx + tmpBy*tmpBy + tmpBz*tmpBz;
#endif
constexpr int noutputs = 3; // total energy, E-field energy and B-field energy
constexpr int index_total = 0;
constexpr int index_E = 1;
constexpr int index_B = 2;
// save data
m_data[lev*noutputs+index_E] = 0.5_rt * Es * PhysConst::ep0 * dV;
m_data[lev*noutputs+index_B] = 0.5_rt * Bs / PhysConst::mu0 * dV;
m_data[lev*noutputs+index_total] = m_data[lev*noutputs+index_E] +
m_data[lev*noutputs+index_B];
}
// end loop over refinement levels
/* m_data now contains up-to-date values for:
* [total field energy at level 0,
* electric field energy at level 0,
* magnetic field energy at level 0,
* total field energy at level 1,
* electric field energy at level 1,
* magnetic field energy at level 1,
* ......] */
}
// end void FieldEnergy::ComputeDiags
// Function that computes the sum of the field squared in RZ
amrex::Real
FieldEnergy::ComputeNorm2RZ(const amrex::MultiFab& field, const int lev)
{
// get a reference to WarpX instance
auto & warpx = WarpX::GetInstance();
Geometry const & geom = warpx.Geom(lev);
const amrex::Real dr = geom.CellSize(0);
amrex::ReduceOps<amrex::ReduceOpSum> reduce_ops;
amrex::ReduceData<amrex::Real> reduce_data(reduce_ops);
using ReduceTuple = typename decltype(reduce_data)::Type;
#ifdef AMREX_USE_OMP
#pragma omp parallel if (amrex::Gpu::notInLaunchRegion())
#endif
for ( amrex::MFIter mfi(field, amrex::TilingIfNotGPU()); mfi.isValid(); ++mfi )
{
amrex::Array4<const amrex::Real> const& field_arr = field.array(mfi);
const amrex::Box tilebox = mfi.tilebox();
amrex::Box tb = convert(tilebox, field.ixType().toIntVect());
// Lower corner of tile box physical domain
const std::array<amrex::Real, 3>& xyzmin = WarpX::LowerCorner(tilebox, lev, 0._rt);
const Dim3 lo = lbound(tilebox);
const Dim3 hi = ubound(tilebox);
const Real rmin = xyzmin[0] + (tb.ixType().nodeCentered(0) ? 0._rt : 0.5_rt*dr);
const int irmin = lo.x;
const int irmax = hi.x;
int const ncomp = field.nComp();
for (int idir=0 ; idir < AMREX_SPACEDIM ; idir++) {
if (WarpX::field_boundary_hi[idir] == FieldBoundaryType::Periodic) {
// For periodic boundaries, do not include the data in the nodes
// on the upper edge of the domain
tb.enclosedCells(idir);
}
}
reduce_ops.eval(tb, ncomp, reduce_data,
[=] AMREX_GPU_DEVICE (int i, int j, int k, int n) -> ReduceTuple
{
const amrex::Real r = rmin + (i - irmin)*dr;
amrex::Real volume_factor = r;
if (r == 0._rt) {
volume_factor = dr/8._rt;
} else if (rmin == 0._rt && i == irmax) {
volume_factor = r/2._rt - dr/8._rt;
}
const amrex::Real theta_integral = (n == 0 ? 2._rt : 1._rt);
return theta_integral*field_arr(i,j,k,n)*field_arr(i,j,k,n)*volume_factor;
});
}
const amrex::Real field_sum = amrex::get<0>(reduce_data.value());
const amrex::Real result = MathConst::pi*field_sum;
return result;
}
// end Real FieldEnergy::ComputeNorm2RZ
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