def setUp(self):
ad1 = atomic.element('carbon')
ad2 = atomic.element('li')
eq1 = atomic.CollRadEquilibrium(ad1)
eq2 = atomic.CollRadEquilibrium(ad2)
te = np.logspace(0, 3, 50)
ne = 1e19
self.y1 = eq1.ionisation_stage_distribution(te, ne)
self.y2 = eq2.ionisation_stage_distribution(te, ne)
def setUp(self):
self.ad = atomic.element('lithium')
self.temperature = np.logspace(0, 3, 50)
self.density = 1e19
self.times = np.logspace(-7, 0, 120)
self.times -= self.times[0]
self.rt = atomic.RateEquations(self.ad)
def netauplot(netau):
""" Create a subplot for given ne * tau."""
taus = netau / densities
for i in range(len(densities)):
density = densities[i]
tau = taus[i]
for e in elementColors:
plotEps(atomic.element(e['el']),
density,
tau,
e['c'],
lw=linewidth[i])
# make the titles and set boundaries
netaustring = num2str(netau)
title1 = r'$n_e \tau = 10^{' + netaustring + '} \; [\mathrm{s} \; \mathrm{m}^{-3}]$'
plt.title(title1)
plt.ylabel(r'$\epsilon_{cool} \; [\mathrm{eV}]$')
plt.xlabel(r'$T_e \; [\mathrm{eV}]$')
plt.ylim(ymin=1e-1, ymax=1e5)
plt.xlim(xmin=0.4, xmax=2000)
# create the two legends
lh = []
for e in elementColors:
lh.append(
mlines.Line2D([], [],
color=e['c'],
label=atomic.element(e['el']).element))
elements_legend = plt.legend(handles=lh, loc=2)
ax = plt.gca().add_artist(elements_legend)
lh = []
for i in range(len(densities)):
d = num2str(densities[i])
tau = num2str(taus[i])
lab = r'$n_e = 10^{' + d + r'},\; \tau = 10^{' + tau + '}$'
lh.append(mlines.Line2D([], [], color='k', label=lab, lw=linewidth[i]))
plt.legend(handles=lh, loc=4)
plt.grid(True)
def test_diffusion(self):
"""Tests that the total number of particles stays constant at 1.0."""
ad = atomic.element('carbon')
temperature = np.logspace(0, 3, 100)
density = 1e19
tau = 1e-3
times = np.logspace(-7, 0, 120)
times -= times[0]
rt = atomic.RateEquationsWithDiffusion(ad)
yy = rt.solve(times, temperature, density, tau)
expected = np.ones(len(times))
result = [
np.sum(yy.abundances[i].y) / len(temperature)
for i in range(len(times))
]
np.testing.assert_array_almost_equal(expected, result)
def setUp(self):
"""This is more of an Integration Test than a unit test."""
self.ad = atomic.element('Li')
self.eq = atomic.CollRadEquilibrium(self.ad)
import numpy as np
import matplotlib.pyplot as plt
import atomic_neu.atomic as atomic
ad = atomic.element('carbon')
temperature = np.logspace(0, 3, 50)
density = 1e20
tau = 1e20 / density
t_normalized = np.logspace(-7, 0, 50)
t_normalized -= t_normalized[0]
times = t_normalized * tau
rt = atomic.RateEquations(ad)
yy = rt.solve(times, temperature, density)
# time evolution of ionisation states at a certain temperature
y_fixed_temperature = yy.at_temperature(38)
# steady state time
tau_ss = yy.steady_state_time()
fig = plt.figure(1)
plt.clf()
ax = fig.add_subplot(111)
lines_ref = ax.semilogx(times / tau, y_fixed_temperature)
ax.set_xlabel(r'$t\ [\mathrm{s}]$')
ax.set_ylim(ymin=0)
ax.set_xlim(xmin=0)
['$10^{%d}$' % i for i in np.log10(times * solution.density)])
z_mean = solution.y_collrad.mean_charge()
ax.loglog(solution.temperature, z_mean, color='black')
ax.set_title(title)
if __name__ == '__main__':
times = np.logspace(-7, 0, 100)
temperature = np.logspace(np.log10(0.8), np.log10(100e3), 100)
density = 1e20
taus = np.logspace(14, 18, 3) / density
element_str = 'carbon'
rt = atomic.RateEquationsWithDiffusion(atomic.element(element_str))
plt.close()
plt.figure(1)
plt.clf()
plt.xlim(xmin=1., xmax=100e3)
plt.ylim(ymin=1.e-35, ymax=1.e-30)
linestyles = [
'dashed', 'dotted', 'dashdot', (0, (3, 1)), (0, (1, 1)),
(0, (3, 1, 1, 1, 1, 1))
]
ax = plt.gca()
for i, tau in enumerate(taus):
y = rt.solve(times, temperature, density, tau)
import numpy as np
import matplotlib.pyplot as plt
import atomic_neu.atomic as at
from atomic_neu.atomic.collisional_radiative import CollRadEquilibrium
elements = ['Li', 'C', 'N', 'Ne', 'Si']
elements = ['Si']
temperature_ranges = {
'Li': np.logspace(-1, 3, 300),
'C': np.logspace(0, 3, 300),
'N': np.logspace(0, 3, 300),
'Ne': np.logspace(0, 4, 300),
'Si': np.logspace(0, 5, 300),
}
for element in elements:
ad = at.element(element)
collrad = CollRadEquilibrium(ad)
temperature = temperature_ranges.get(element, np.logspace(0, 3, 300))
y = collrad.ionisation_stage_distribution(temperature, density=1e19)
plt.figure()
y.plot_vs_temperature()
# plt.savefig('collrad_equilibrium_%s.pdf' % element)
plt.show()
import numpy as np
import matplotlib.pyplot as plt
import atomic_neu.atomic as at
ad = at.element('carbon')
temperature = np.logspace(0, 5, 100)
density = 1e19
S = ad.coeffs['ionisation']
alpha = ad.coeffs['recombination']
def annotate(element, lines, ind=-1):
for i, l in enumerate(lines):
ax = l.axes
xy = l.get_xydata()[ind]
s = '$\mathrm{%s}^{%d+}$' % (element, i)
ax.annotate(s, xy, color=l.get_color(), va='center')
plt.figure(1)
plt.clf()
for i in range(ad.nuclear_charge):
plt.loglog(temperature, S(i, temperature, density))
plt.xlabel(r'$T_\mathrm{e}\ [\mathrm{eV}]$')
plt.ylabel(r'$S\ [\mathrm{m^3 s^{-1}}]$')
plt.ylim(ymin=1e-20)
lines = plt.gca().lines
annotate(ad.element, lines)
import numpy as np
import atomic_neu.atomic as atomic
import matplotlib.pyplot as plt
Element = 'carbon'
ad = atomic.element(Element)
eq = atomic.CoronalEquilibrium(ad)
temperature = np.logspace(0, 3, 50)
electron_density = 1e20
y = eq.ionisation_stage_distribution(temperature, electron_density)
rad = atomic.Radiation(y, neutral_fraction=1e-1, impurity_fraction=2e-2)
plt.figure()
plt.clf()
customize = True
lines = rad.plot()
if customize:
plt.ylabel(r'$P/n_\mathrm{i} n_\mathrm{e}\ [\mathrm{W m^3}]$')
# plt.ylim(ymin=1e-35)
# annotation
s = '$n_0/n_\mathrm{e}$\n'
if rad.neutral_fraction == 0:
s += '$0$'
else:
def setUp(self):
self.ad = atomic.element('Li')
import numpy as np
import matplotlib.pyplot as plt
import atomic_neu.atomic as atomic
from ensemble_average import time_dependent_power
if __name__ == '__main__':
times = np.logspace(-7, 0, 50)
temperature = np.logspace(0, 3, 50)
density = 1e19
from atomic.pec import TransitionPool
ad = atomic.element('argon')
tp = TransitionPool.from_adf15('adas_data/pec/transport_llu#ar*.dat')
ad = tp.filter_energy(2e3, 20e3, 'eV').create_atomic_data(ad)
rt = atomic.RateEquations(ad)
y = rt.solve(times, temperature, density)
taus = np.array([1e14, 1e15, 1e16, 1e17, 1e18])/density
plt.figure(2)
plt.clf()
time_dependent_power(y, taus)
plt.ylim(ymin=1e-35)
plt.draw()
plt.figure(3)
plt.clf()
time_dependent_power(y, taus, ensemble_average=True)
def plotEps(ad, color):
rt = atomic.RateEquationsWithDiffusion(ad)
min_log_temp = ad.coeffs['ionisation'].log_temperature[0]
temperature = np.logspace(min_log_temp, np.log10(2000), 40)
yy = rt.solve(times, temperature, density, tau)
elc = atomic.ElectronCooling(yy.abundances[-1])
eps = elc.epsilon(tau)
y1 = eps['total']
lab = ad.element
line, = plt.loglog(temperature, y1, color, label=lab)
tau = 1e-5
density = 1e20
times = np.logspace(-7, np.log10(tau) + 1, 120)
for el, c in list(elementColors.items()):
print(el)
plotEps(atomic.element(el), c)
plt.title(r'$n_e = \; ' + str(density) + r'\; [m^{-3}]$, $ \tau = 1e' +
str(int(np.log10(tau))) +
'\;[s]$, dashed=rad only, solid=with ionization')
plt.ylabel(r'$\epsilon_{cool} \; [\mathrm{eV}]$')
plt.xlabel(r'$T_e \; [\mathrm{eV}]$')
plt.ylim(ymin=1e-0, ymax=1e5)
plt.xlim(xmin=0.4, xmax=2000)
plt.legend(loc='best')
plt.grid(True)
plt.show()
