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Magnus Ulimoen
2020-06-14 22:02:28 +02:00
parent a3cccd7e32
commit cb635eb860
3 changed files with 40 additions and 0 deletions
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euler/misc/euler.py Normal file
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import numpy as np
rstar = 0.5 # Fixed radius
eps = 1.0
M = 0.1 # Indirectly sets p_inf
gamma = 1.4 # Solid
p_inf = 1.0 / (gamma * M * M)
print(f"p_inf: {p_inf}")
dx = 10000.0
dy = 100.0
f = (1 - (dx*dx + dy*dy))/(rstar*rstar)
print(f"f: {f}")
# print(eps*dy/(2*np.pi*np.sqrt(p_inf)*rstar * rstar) * np.exp(f / 2))
u = 1.0 - eps*dy/(2*np.pi*np.sqrt(p_inf)*rstar * rstar) * np.exp(f / 2)
v = 0.0 + eps*dx/(2*np.pi*np.sqrt(p_inf)*rstar * rstar) * np.exp(f / 2)
print(f"sub p: {eps*eps*(gamma - 1)*M*M / (8*np.pi*np.pi*p_inf*rstar*rstar)*np.exp(f)}")
rho = np.power(1.0 - eps*eps*(gamma - 1)*M*M / (
8*np.pi*np.pi*p_inf*rstar*rstar)*np.exp(f), 1.0/(gamma - 1))
p = (rho**gamma)*p_inf
print(f"p: {p}")
e = p / (gamma - 1) + rho*(u**2 + v**2) / 2
print(f"rho: {v}")
print(f"u: {u}")
print(f"v: {v}")
print(f"e: {e}")