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radiation_boundary_constant.py
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#-------------------------------------------------------------------------
#
# Shallow Water Model
#
# Danilo Couto de Souza
# Universidade de São Paulo (USP)
# Instituto de Astronomia, Geociências e Ciências Atmosféricas
#-------------------------------------------------------------------------
import numpy as np
g = 9.8
def west(u_next,u_curr,v_curr,fv,H,dx,dt):
c = np.zeros(u_next[:,0].shape)
for i in range(len(u_next[:,0])):
if u_next[i,1] < 0 :
c[i] = c[i] + np.sqrt(g*H)
fv_mean = .5*fv[i,0] * (v_curr[i,0] + v_curr[i+1,0])
u_next[i,0] = u_curr[i,0] + dt * (
(c[i] * ((u_curr[i,1] - u_curr[i,0])/dx)) + fv_mean)
else:
# u_next[i,0] = u_curr[i,0]
u_next[i,0] = u_next[i,1]
u_next[np.isnan(u_next)] = 0
return u_next
def north(v_next,v_curr,u_curr,fu,H,dy,dt):
c = np.zeros(v_next[0].shape)
for i in range(len(v_next[0])):
if v_next[1,i] > 0:
c[i] = c[i] + np.sqrt(g*H)
fu_mean = .5 * fu[0,i] * (u_curr[0,i] + u_curr[0,i+1])
# fu_mean = vn*0
v_next[0,i] = v_curr[0,i] + dt * (
(-c[i] * ((v_curr[0,i] - v_curr[1,i])/dy)) - fu_mean)
else:
# v_next[0,i] = v_curr[0,i]
v_next[0,i] = v_next[1,i]
# v_next[np.isnan(v_next)] = 0
return v_next
def south(v_next,v_curr,u_curr,fu,H,dy,dt):
c = np.zeros(v_next[0].shape)
for i in range(len(v_next[-1])):
if v_next[-2,i] < 0:
c[i] = c[i] + np.sqrt(g*H)
fu_mean = .5 * fu[-1,i] * (u_curr[-1,i] + u_curr[-1,i+1])
# fu_mean = vs*0
v_next[-1,i] = v_curr[-1,i] + dt * (
(c[i] * ((v_curr[-2,i] - v_curr[-1,i])/dy)) - fu_mean)
else:
# v_next[-1,i] = v_curr[-1,i]
v_next[-1,i] = v_next[-2,i]
# v_next[np.isnan(v_next)] = 0
return v_next