2020-09-15 15:53:09 +00:00
|
|
|
#! /usr/bin/env python3
|
2020-04-23 15:53:50 +00:00
|
|
|
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}")
|
