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NuFI_deal.ii/src/nufi_solver.cc
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341 lines
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C++

#include "nufi/nufi_solver.h"
#include <algorithm>
#include <boost/qvm/mat_access.hpp>
#include <cmath>
#include <cstdlib>
#include <deal.II/base/exceptions.h>
#include <deal.II/base/point.h>
#include <deal.II/base/tensor.h>
#include <deal.II/numerics/vector_tools.h>
#include <cstddef>
#include <fstream>
#include <iostream>
#include <memory>
#include <ostream>
#include <string>
#include <vector>
#include "nufi/fields.h"
#include "nufi/grids.h"
#include "nufi/parameters.h"
#include "nufi/poisson_problem.h"
#include "nufi/save_results.h"
#include "nufi/stopwatch.h"
using namespace dealii;
std::vector<double> NuFISolver::eval_ftilda(
unsigned int n, std::vector<double> X, double u,
const std::vector<GridStructure<1>> &grid_struct,
const std::vector<SolutionSnapshot<1>> &phi_history) const {
size_t x_size = X.size();
std::vector<double> U(x_size, u);
std::vector<double> results(x_size);
if (n == 0) {
for (size_t i = 0; i < x_size; ++i)
results[i] = f0(X[i], U[i]);
// reset_x_eval(X);
return results;
}
std::vector<double> Ex(x_size);
std::vector<double> tmp(x_size);
// We omit the initial half-step.
while (--n) {
for (size_t i = 0; i < x_size; ++i)
X[i] = X[i] - Parameters::DT * U[i];
AssertThrow(
phi_history[n].solution.size() ==
grid_struct[phi_history[n].grid_version].dof_handler->n_dofs(),
ExcMessage("In eval_ftilda: Solution size = " +
std::to_string(phi_history[n].solution.size()) +
", expected by grid_struct = " +
std::to_string(grid_struct[phi_history[n].grid_version]
.dof_handler->n_dofs())));
AssertThrow(
grid_struct[phi_history[n].grid_version].grid_version ==
phi_history[n].grid_version,
ExcMessage(
"grid.grid_version not equal to phi_history[n].grid_version"));
tmp = eval(X, grid_struct[phi_history[n].grid_version],
phi_history[n].solution); // call eval only once
for (size_t i = 0; i < x_size; ++i) {
Ex[i] = -tmp[i];
U[i] = U[i] + Parameters::DT * Ex[i];
}
}
// The final half-step.
for (size_t i = 0; i < x_size; ++i)
X[i] = X[i] - Parameters::DT * U[i];
tmp = eval(X, grid_struct[phi_history[n].grid_version],
phi_history[n].solution); // call eval only once
for (size_t i = 0; i < x_size; ++i) {
Ex[i] = -tmp[i];
U[i] = U[i] + 0.5 * Parameters::DT * Ex[i];
}
for (size_t i = 0; i < x_size; ++i)
results[i] = f0(X[i], U[i]);
// reset_x_eval(X);
return results;
}
std::vector<double>
NuFISolver::eval_f(unsigned int n, std::vector<double> X, double u,
const std::vector<GridStructure<1>> &grid_struct,
const std::vector<SolutionSnapshot<1>> &phi_history) const {
size_t x_size = X.size();
std::vector<double> U(x_size, u);
std::vector<double> results(x_size);
if (n == 0) {
for (size_t i = 0; i < x_size; ++i)
results[i] = f0(X[i], U[i]);
// reset_x_eval(X);
return results;
}
std::vector<double> Ex(x_size);
std::vector<double> tmp(x_size);
// Initial half-step.
tmp = eval(X, grid_struct[phi_history[n].grid_version],
phi_history[n].solution); // call eval only once
for (size_t i = 0; i < x_size; ++i) {
Ex[i] = -tmp[i];
U[i] = U[i] + 0.5 * Parameters::DT * Ex[i];
}
while (--n) {
for (size_t i = 0; i < x_size; ++i)
X[i] = X[i] - Parameters::DT * U[i];
tmp = eval(X, grid_struct[phi_history[n].grid_version],
phi_history[n].solution); // call eval only once
for (size_t i = 0; i < x_size; ++i) {
Ex[i] = -tmp[i];
U[i] = U[i] + Parameters::DT * Ex[i];
}
}
// The final half-step.
for (size_t i = 0; i < x_size; ++i)
X[i] = X[i] - Parameters::DT * U[i];
tmp = eval(X, grid_struct[phi_history[n].grid_version],
phi_history[n].solution); // call eval only once
for (size_t i = 0; i < x_size; ++i) {
Ex[i] = -tmp[i];
U[i] = U[i] + 0.5 * Parameters::DT * Ex[i];
}
for (size_t i = 0; i < x_size; ++i)
results[i] = f0(X[i], U[i]);
// reset_x_eval(X);
return results;
}
std::vector<double>
NuFISolver::eval_rho(unsigned int n, std::vector<double> &X,
const std::vector<GridStructure<1>> &grid_struct,
const std::vector<SolutionSnapshot<1>> &phi_history,
const unsigned int Nv) const {
size_t x_size = X.size();
const double dv =
(Parameters::V_DOMAIN_RIGHT - Parameters::V_DOMAIN_LEFT) / Nv;
const double v_min = Parameters::V_DOMAIN_LEFT + 0.5 * dv;
std::vector<double> integral(x_size, 0.0);
std::vector<double> tmp_int(x_size);
for (unsigned int i = 0; i < Nv; ++i) {
tmp_int = eval_ftilda(n, X, v_min + i * dv, grid_struct,
phi_history); // used eval_ftilda once per i
for (size_t ii = 0; ii < x_size; ++ii)
integral[ii] += tmp_int[ii];
}
for (size_t i = 0; i < x_size; ++i)
integral[i] = 1 - integral[i] * dv;
return integral;
}
std::vector<double>
NuFISolver::eval_rho_points(unsigned int n, const std::vector<Point<1>> &points,
const std::vector<GridStructure<1>> &grid_struct,
const std::vector<SolutionSnapshot<1>> &phi_history,
const unsigned int Nv) const {
std::vector<double> point_vector = Point_vector_to_double_vector(points);
return NuFISolver::eval_rho(n, point_vector, grid_struct, phi_history, Nv);
}
void NuFISolver::run() {
//====//====//
// Run prep //
//====//====//
using std::abs;
using std::max;
// std::unique_ptr<double, decltype(std::free) *> rho{
// reinterpret_cast<double *>(std::aligned_alloc(64, sizeof(double) *
// Nx)),
// std::free};
//
// if (rho == nullptr)
// throw std::bad_alloc{};
std::vector<double> int_E_squared;
int_E_squared.reserve(Nt);
std::vector<GridStructure<1>> grid_versions;
std::vector<SolutionSnapshot<1>> phi_history;
// update_grid_versions(grid_versions, poisson);
// update_solution_history(phi_history, poisson,
// grid_versions.back().grid_version);
std::vector<double> x_eval(Parameters::CALC_NX);
std::ofstream time_file("results/simulation_time.dat");
double total_time = 0;
stopwatch<double> total_timer;
time_file << "it "
<< "step_time "
<< "total_time "
<< "compute_time "
<< "refine_time "
<< "plot_time"
<< "\n";
[[maybe_unused]] const double x_min = Parameters::X_DOMAIN_LEFT;
[[maybe_unused]] double dx = Parameters::CALC_DX;
//====//====//
// Time loop//
//====//====//
for (unsigned int it = 0; it < Nt; ++it) {
stopwatch<double> timer;
double time_elapsed_before = timer.elapsed();
double compute_time = 0.0;
double refine_time = 0.0;
double plot_time = 0.0;
std::cout << "Timestep " << it << " / " << Nt
<< " (simulation time = " << it * Parameters::DT << ")"
<< std::endl;
// START: diagnostics
// std::cout << "cells = " << poisson.triangulation.n_active_cells() << "\n"
// << " dofs = " << poisson.dof_handler.n_dofs() << "\n";
// double min_h = 1e100;
// double max_h = 0;
//
// for (auto cell : poisson.triangulation.active_cell_iterators()) {
// min_h = std::min(min_h, cell->diameter());
// max_h = std::max(max_h, cell->diameter());
// }
//
// std::cout << "h ratio = " << max_h / min_h << std::endl;
// std::vector<double> x = make_x_eval(Parameters::CALC_NX);
// auto rho = eval_rho(it, x, grid_versions, phi_history, Parameters::NV);
//
// double mean = 0;
//
// for (auto r : rho)
// mean += r;
//
// mean /= rho.size();
//
// std::cout << "rho mean = " << mean << "\n";
// std::cout << "rho min = " << *std::min_element(rho.begin(), rho.end())
// << "\n";
// std::cout << "rho max = " << *std::max_element(rho.begin(), rho.end())
// << "\n";
// END: diagnostics
double compute_start = timer.elapsed();
// compute rho
//
poisson.set_rhs_function([&](const std::vector<Point<1>> &points) {
std::vector<double> x(points.size());
for (size_t i = 0; i < points.size(); ++i)
x[i] = points[i][0];
return eval_rho(it, x, grid_versions, phi_history, Parameters::NV);
});
if (it % Parameters::REFINE_FREQUENCY == 0) {
// if (it == 0) {
poisson.solve_step(it, grid_versions, true);
compute_time = timer.elapsed() - compute_start;
} else {
poisson.solve_step(it, grid_versions, false);
compute_time = timer.elapsed() - compute_start;
}
update_solution_history(phi_history, poisson,
grid_versions.back().grid_version);
double timer_elapsed = timer.elapsed();
double step_time = timer_elapsed - time_elapsed_before;
std::cout << "step made in " << step_time << " seconds\n\n";
//====//====//
// Plotting //
//====//====//
if (it % Parameters::PLOT_FREQUENCY == 0) {
double plot_start = timer.elapsed();
std::cout << "Saving results... ";
save_f(*this, it, grid_versions, phi_history, Parameters::PLOT_NX,
Parameters::NV, "results/ftilda_" + std::to_string(it) + ".dat");
save_rho(*this, it, grid_versions, phi_history, Parameters::PLOT_NX,
"results/rho_" + std::to_string(it) + ".dat");
save_Efield(it, grid_versions, phi_history);
double int_val = 0.5 * integral_space_vector_squared(
grid_versions[phi_history[it].grid_version],
phi_history[it].solution);
int_E_squared.push_back(int_val);
save_space_vector(int_E_squared, "electricint", it);
plot_time = timer.elapsed() - plot_start;
std::cout << "Results saved in " << plot_start << "[s]" << "\n";
}
total_time = total_timer.elapsed();
std::cout << "Time since start = " << total_time << "\n\n";
time_file << it << " " << step_time << " " << total_time << " "
<< compute_time << " " << refine_time << " " << plot_time << "\n";
time_file.flush();
}
std::cout << "NuFI simulation finished in " << total_time << " seconds.\n";
}
NuFISolver::NuFISolver() : order(Parameters::FE_DEGREE), poisson(order) {
std::cout << "Initializing dealii Poisson Solver\n";
poisson.initialize();
}