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#!/usr/bin/env python3
# Copyright 2019-2023
#
# This file is part of WarpX.
#
# License: BSD-3-Clause-LBNL
#
# Initialize a deuterium-deuterium thermal plasma similar to that in
# section 4.1 of [1], with fusion multiplication factor 1e10,
# 1e4 particles per cell, density 1e20/cm^3, temperature 20 keV.
# Check that the simulation reactivity matches the analytical value
# reported in Table VIII of [2], namely 2.603e-18 cm^3/s.
#
# Reference:
# [1] Higginson, D.P., Link, A. and Schmidt, A., 2019.
# A pairwise nuclear fusion algorithm for weighted particle-in-cell
# plasma simulations. Journal of Computational Physics, 388, pp.439-453.
# DOI: https://doi.org/10.1016/j.jcp.2019.03.020
#
# [2] Bosch, H.S. and Hale, G.M., 1992.
# Improved formulas for fusion cross-sections and thermal reactivities.
# Nuclear fusion, 32(4), p.611.
# DOI: https://doi.org/10.1088/0029-5515/32/4/I07
import os
import sys
import numpy as np
sys.path.insert(1, '../../../../warpx/Regression/Checksum/')
import checksumAPI
# Name of the plotfile
fn = sys.argv[1]
# Load data from reduced diagnostics (physical time and neutron weights)
time = np.loadtxt('./reduced_diags/particle_number.txt', usecols=1)
neutron = np.loadtxt('./reduced_diags/particle_number.txt', usecols=9)
# Compute reactivity in units of cm^3/s as in equation (61) of [1]
dY_dt = np.abs(neutron[-1]-neutron[0])/(time[-1]-time[0])
delta_ij = 1 # reactants of the same species
nD = 1e26 # density in 1/m^3
V = (2e-3)**3 # simulation volume in m^3
sigma = dY_dt*(1+delta_ij)/(nD**2)/V*(1e2)**3
sigma_th = 2.603e-18
error = np.abs(sigma-sigma_th)/sigma_th
tolerance = 1e-2
assert error < tolerance
# Compare checksums with benchmark
test_name = os.path.split(os.getcwd())[1]
checksumAPI.evaluate_checksum(test_name, fn)
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