Created
May 15, 2023 20:42
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Rayleigh waves forced by surface gravity waves
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import numpy as np | |
pp = np.logspace(-5,-1,100) | |
zz = np.linspace(0,100,101) | |
q,z=np.meshgrid(pp,zz) | |
g = 9.8 | |
H=1000 | |
p = np.sqrt(g*q*np.tanh(g*H)) | |
cs = 1000 | |
cd = 2000 | |
als = np.sqrt(1 + (p/q/cs)**2) | |
ald = np.sqrt(1 + (p/q/cd)**2) | |
# ux/uz | |
u1 = 1j*q*als/np.abs(q)*(1-als*ald) * (np.exp(-np.abs(q)*ald*z)-np.exp(-np.abs(q)*als*z)) | |
import matplotlib.pyplot as plt | |
c=plt.pcolor(p,z,np.log10(np.abs(u1))) | |
plt.colorbar() | |
plt.ylabel('Depth (m)') | |
plt.xlabel('Frequency') | |
plt.xscale('log') | |
plt.ylim(100,0) | |
plt.title('u(z)/w(z=0)') | |
plt.show() |
Author
bradlipovsky
commented
May 15, 2023
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