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boundary_conditions.py
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#!/usr/bin/env python
# coding: utf-8
# In[1]:
import numpy as np
# In[2]:
class boundary_update():
def __init__(self):
pass
def velocity_boundary_x(u_tent):
u_tent[0, :] = 0.0
u_tent[:, 0] = 0.0
u_tent[:, -1] = 0.0
u_tent[-1, :] = 10.0
return u_tent
def velocity_boundary_y(v_tent):
v_tent[0, :] = 0.0
v_tent[:, 0] = 0.0
v_tent[:, -1] = 0.0
v_tent[-1, :] = 0.0
return v_tent
def pressure_boundary(p_next):
p_next[:, -1] = p_next[:, -2]
p_next[0, :] = p_next[1, :]
p_next[:, 0] = p_next[:, 1]
p_next[-1, :] = 0 #0.0
return p_next
def temperature_boundary(T_next):
T_next[0,:] = 398
T_next[:,0] = T_next[:,1]
T_next[:,-1] = T_next[:,-2]
T_next[-1, :] = T_next[-2, :]
return T_next
# In[ ]:
class boundary_update_lid_driven_cavity():
def __init__(self):
pass
def velocity_boundary_x(u_tent):
u_tent[0, :] = 0.0
u_tent[:, 0] = 0.0
u_tent[:, -1] = 0.0
u_tent[-1, :] = 10.0
return u_tent
def velocity_boundary_y(v_tent):
v_tent[0, :] = 0.0
v_tent[:, 0] = 0.0
v_tent[:, -1] = 0.0
v_tent[-1, :] = 0.0
return v_tent
def pressure_boundary(p_next):
p_next[:, -1] = p_next[:, -2]
p_next[0, :] = p_next[1, :]
p_next[:, 0] = p_next[:, 1]
p_next[-1, :] = 0 #0.0
return p_next
def temperature_boundary(T_next):
T_next[0,:] = 398
T_next[:,0] = T_next[:,1]
T_next[:,-1] = T_next[:,-2]
T_next[-1, :] = T_next[-2, :]
return T_next
# In[3]:
class boundary_update_rayleigh_benard():
def __init__(self):
pass
def velocity_boundary_x(u_next):
u_next[:, -1] = 0
u_next[0, :] = 0
u_next[:, 0] = 0
u_next[-1, :] = 0
return u_next
def velocity_boundary_y(v_next):
v_next[:, -1] = 0
v_next[0, :] = 0
v_next[:, 0] = 0
v_next[-1, :] = 0
return v_next
def pressure_boundary(p_next):
p_next[:, -1] = p_next[:, -2]
p_next[0, :] = p_next[1, :]
p_next[:, 0] = p_next[:, 1]
p_next[-1, :] = p_next[-2, :]
return p_next
def temperature_boundary(T_next):
#T_next[0,:] = 1.2
T_next[0,16:26] = 4
T_next[:,0] = 0
T_next[:,-1] = 0
T_next[-1, :] = T_next[-2, :]
return T_next
# In[4]:
class boundary_update_nondimensionalized_rayleigh_benard():
def __init__(self):
pass
def velocity_boundary_x(u_next):
u_next[:, -1] = u_next[:, -2]
u_next[0, :] = u_next[1, :]
u_next[:, 0] = u_next[:, 1]
u_next[-1, :] = u_next[-2, :]
return u_next
def velocity_boundary_y(v_next):
v_next[:, -1] = v_next[:, -2]
v_next[0, :] = v_next[1, :]
v_next[:, 0] = v_next[:, 1]
v_next[-1, :] = v_next[-2, :]
return v_next
def pressure_boundary(p_next):
p_next[:, -1] = p_next[:, -2]
p_next[0, :] = p_next[1, :]
p_next[:, 0] = p_next[:, 1]
p_next[-1, :] = p_next[-2, :]
return p_next
def temperature_boundary(T_next):
#T_next[0,:] = 1.2
T_next[0,16:26] = 1.2
T_next[:,0] = 0
T_next[:,-1] = 0
T_next[-1, :] = T_next[-2, :]
return T_next
# #Rayleigh_benard
#
# class boundary_update():
# def __init__(self):
# pass
#
# def velocity_boundary_x(u_tent):
# u_tent[0, :] = 0.0 #bottom
# u_tent[:, 0] = 0.0
# u_tent[:, -1] = 0.0
# u_tent[-1, :] = 0.0
#
# return u_tent
#
# def velocity_boundary_y(v_tent):
# v_tent[0, :] = 0.0
# v_tent[:, 0] = 0.0
# v_tent[:, -1] = 0.0
# v_tent[-1, :] = 0.0
#
# return v_tent
#
# def pressure_boundary(p_next):
# p_next[:, -1] = p_next[:, -2]
# p_next[0, :] = p_next[1, :]
# p_next[:, 0] = p_next[:, 1]
# p_next[-1, :] = 0.0
#
# return p_next
#
# def temperature_boundary(T_next):
#
# T_next[0, :] = 10 #bottom
# T_next[:, 0] = 0
# T_next[:, -1] = 0
# T_next[-1, :] = 0
#
#
#
# return T_next
#
# In[5]:
#c = np.zeros([369,369])
# In[6]:
#c
# In[7]:
#mu = 0
#sigma = 0.1
#line = np.linspace(0,369,369)
#c[0] = 5* np.sin(line/118) #np.exp( - (line-20)**2)
#np.shape(c[0])
#np.shape(line)
# In[ ]:
# In[8]:
#plt.plot(line, c[0])
# In[9]:
#np.shape(c[0])
# In[10]:
#c[0]
# In[11]:
#c = np.zeros([41,41])
# In[12]:
#boundary_update.temperature_boundary(c)
# In[13]:
#c[0]
# In[ ]:
# In[ ]: