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Added a small ODE test for fast slow heating
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Hemaditya Malla
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Oct 12, 2023
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import numpy as np | ||
import matplotlib.pyplot as plt | ||
from scipy.integrate import odeint | ||
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data = np.loadtxt("powerDensity_power_density_pointVsTime.txt") | ||
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def f(y, t, eta_f, eta_s, tau_vt): | ||
E, Evt = y | ||
jE = np.interp(t, data[:,0], data[:,1]) | ||
return [eta_f*jE + Evt, eta_s*jE - Evt/tau_vt] | ||
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dt = 1e-10 | ||
tstart, tend = 0, 5e-6 | ||
Nt = int((tend-tstart)/dt) | ||
t = np.linspace(tstart, tend, Nt) | ||
eta_f, eta_s, tau_vt = 0.3, 0.7, 20e-6 | ||
E0 = 1e5/(1.4-1.0) | ||
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solution = odeint(f, [E0, 0], t, args=(eta_f, eta_s, tau_vt)) | ||
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plt.plot(t, solution[:,0], 'b-', label="Translation") | ||
plt.plot(t, solution[:,1], 'g-', label="Vibration") | ||
plt.legend() | ||
plt.figure(2) | ||
kb = 1.38e-23 | ||
N = 2.4e25 | ||
Tg = (solution[:,0]*(1.4-1))/(kb*N) | ||
P = solution[:,0]*0.4 | ||
plt.plot(t, Tg) | ||
plt.show() | ||
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programs/multipulse_2d/gasheating_ODE/powerDensity_power_density_pointVsTime.txt
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