34 lines
828 B
Python
34 lines
828 B
Python
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import numpy as np
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rstar = 0.5 # Fixed radius
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eps = 1.0
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M = 0.1 # Indirectly sets p_inf
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gamma = 1.4 # Solid
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p_inf = 1.0 / (gamma * M * M)
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print(f"p_inf: {p_inf}")
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dx = 10000.0
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dy = 100.0
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f = (1 - (dx*dx + dy*dy))/(rstar*rstar)
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print(f"f: {f}")
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# print(eps*dy/(2*np.pi*np.sqrt(p_inf)*rstar * rstar) * np.exp(f / 2))
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u = 1.0 - eps*dy/(2*np.pi*np.sqrt(p_inf)*rstar * rstar) * np.exp(f / 2)
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v = 0.0 + eps*dx/(2*np.pi*np.sqrt(p_inf)*rstar * rstar) * np.exp(f / 2)
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print(f"sub p: {eps*eps*(gamma - 1)*M*M / (8*np.pi*np.pi*p_inf*rstar*rstar)*np.exp(f)}")
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rho = np.power(1.0 - eps*eps*(gamma - 1)*M*M / (
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8*np.pi*np.pi*p_inf*rstar*rstar)*np.exp(f), 1.0/(gamma - 1))
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p = (rho**gamma)*p_inf
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print(f"p: {p}")
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e = p / (gamma - 1) + rho*(u**2 + v**2) / 2
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print(f"rho: {v}")
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print(f"u: {u}")
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print(f"v: {v}")
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print(f"e: {e}")
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