def testPastCylinder():
n = 20 # width - 0x
m = 40 # length - 0y
rho = 1. # density
v = 0.03
tau = v * 3. + 0.5 # relaxation time
t_f = 500 # final time
u = 0.3
reynolds = str(m * u / v)
solid = np.zeros((m, n))
# circle
radius = 6
x0 = 20
y0 = m / 2
for i in range(0, n):
for j in range(0, m):
if (j - y0)**2 + (i - x0)**2 <= radius**2:
solid[j, i] = 1
userGrid = gd.Grid(n, m)
bc = flow_past_cylinder(userGrid, u, rho)
lat_bol = lb.D2Q9(grid=userGrid,
iterations=t_f,
relaxation_time=tau,
boundary=bc,
solid_cells=solid,
plot_velocity=False)
def testPressurePressurePipe():
n = 50 # length - 0x
m = 300 # height - 0y
v = 0.1 # viscosity
p_left = 2. / 1. # left pressure
p_right = 1. / 1. # right pressure
t_f = 500 # final time
tau = v * 3. + 0.5
user_grid = gd.Grid(width=m, height=n)
bc = pipe_pp_bc(grid=user_grid, p_right=p_right, p_left=p_left)
lat_bol = lb.D2Q9(grid=user_grid,
iterations=t_f,
boundary=bc,
relaxation_time=tau,
plot_velocity=False)
def testVelocityVelocityPipe():
n = 50 # length - 0x
m = 300 # height - 0y
v = 0.1 # viscosity
v_left = 1. / 10. # left velocity
v_right = 1. / 10. # right pressure
t_f = 500 # final time
tau = v * 3. + 0.5
user_grid = gd.Grid(width=m, height=n)
# boundary conditions
bc = pipe_vv_bc(grid=user_grid, v_right=v_right, v_left=v_left)
lat_bol = lb.D2Q9(grid=user_grid,
iterations=t_f,
boundary=bc,
relaxation_time=tau,
plot_velocity=False)
def testDrivenCavity(self):
n = 100 # width - 0x
m = 100 # length - 0y
v = 0.1 # viscosity
tau = v * 3. + 0.5 # relaxation time
t_f = 500 # final time
u_x = 0.1
user_grid = gd.Grid(n, m)
reynolds = n * u_x / v
self.assertEqual(reynolds, n)
bc = driven_cavity_boundaries(user_grid, u_x)
lat_bol = lb.D2Q9(grid=user_grid,
iterations=t_f,
boundary=bc,
relaxation_time=tau,
plot_velocity=False)
def testPoiseuilleFlowPeriodicZeroVelocities():
n = 100 # width - 0x
m = 30 # height - 0y
v = 0.1 # viscosity
tau = v * 3. + 0.5 # relaxation time
t_f = 500 # final time
g = 1e-5
gravity = gd.LatticeVelocity(g, 0) # acceleration by gravity
userGrid = gd.Grid(n, m)
bc = horizontal_poiseuille_boundaries_zero_v(grid=userGrid)
lat_bol = lb.D2Q9(grid=userGrid,
iterations=t_f,
relaxation_time=tau,
ext_force=gravity,
boundary=bc,
plot_velocity=False)
def start_driven_cavity(self, entries):
print entries
n = entries[2][1] # width - 0x
m = entries[2][1] # length - 0y
v = entries[1][1] # viscosity
tau = self.calc_tau(v)
t_f = 301 # final time
u_x = entries[0][1]
reynolds = n * u_x / v
velocity = gd.LatticeVelocity(u_x, 0)
user_grid = gd.Grid(n, m)
# boundary conditions
bc = self.driven_cavity_boundaries(user_grid, velocity)
lat_bol = lb.D2Q9(grid=user_grid,
iterations=t_f,
boundary=bc,
relaxation_time=tau,
reynolds=reynolds)
def start_pipe_flow(self, entries):
print entries
n = entries[4][1] # width - 0x
m = entries[3][1] # length - 0y
v = entries[2][1] # viscosity
t_f = entries[5][1] # final time
tau = v * 3. + 0.5
u_x = entries[0][1]
p = entries[1][1]
reynolds = n * u_x / v
user_grid = gd.Grid(n, m)
# print isinstance(velocity,lv.LatticeVelocity)
# boundary conditions
bc = self.pipe_vp_bc(grid=user_grid, v_left=u_x, p_right=p)
lat_bol = lb.D2Q9(grid=user_grid,
iterations=t_f,
boundary=bc,
relaxation_time=tau,
reynolds=reynolds)
path = os.path.dirname(
os.path.abspath(inspect.getfile(inspect.currentframe())))
ps.save_all(lat_bol, path=path)
ps.plot_streamlines(lat_bol, path=path)
n = 60 # width - 0x
m = 30 # height - 0y
rho = 1. # density
v = 0.1 # viscosity
tau = v * 3. + 0.5 # relaxation time
t = 3675 # final time
gravity = gd.LatticeVelocity(1e-5, 0) # acceleration by gravity
path = os.path.dirname(
os.path.abspath(inspect.getfile(inspect.currentframe())))
userGrid = gd.Grid(n, m)
bc = horizontal_poiseuille_boundaries2(userGrid)
lat_bol = lb.D2Q9(
grid=userGrid,
# iterations=t,
check_convergence=True,
relaxation_time=tau,
ext_force=gravity,
boundary=bc,
plot_velocity=True,
path=path)
path = get_path()
#ps.save_all(lat_bol,path=path)
ps.plot_poiseuille_solution_0y(lat_bol)
ps.plot_poiseuille_solution_0x(lat_bol)
# profile.run('print \
# lb.D2Q9(grid=userGrid, \
# iterations=t, \
# relaxation_time=tau, \
# ext_force=gravity, \
tau = viscosity * 3. + 0.15
t = 70000 # final time
u_x = 0.25
re = (n - 1) * u_x / viscosity
print(re)
velocity = gd.LatticeVelocity(u_x, 0)
userGrid = gd.Grid(n, m)
bc = driven_cavity_boundaries(userGrid, velocity)
path = os.path.dirname(
os.path.abspath(inspect.getfile(inspect.currentframe())))
lat_bol = lb.D2Q9(
grid=userGrid,
# iterations=t,
check_convergence=True,
eps=1e-6,
boundary=bc,
relaxation_time=tau,
reynolds=re,
plot_velocity=False,
plot_streamlines=False,
path=path)
# print("Viscosity = " + str(lat_bol.viscosity))
# print("Reynolds number = " + str(re))
title = "Re_" + str(lat_bol.reynolds) + "_vis_" + str(lat_bol.viscosity) + \
"_grid_" + str(lat_bol.grid.width) + 'x' + str(lat_bol.grid.height) + '_t_' + str(lat_bol.iterations)
# print(path)
ps.save_all(lat_bol, path=path, title=title)
ps.plot_all(lat_bol)
# ps.save_data(lat_bol, lat_bol.stream, 'stream',path=path)
# ps.save_data(lat_bol, lat_bol.vorticity, 'vorticity',path=path)
print('Re = ' + str(m * u / v))
solid = np.zeros((m, n)) # circle shape
radius = m / 8 # radius of circle
x0 = n / 7 # (x0,y0) - center of the circle
y0 = m / 2
for i in range(0, n):
for j in range(0, m):
if (j - y0)**2 + (i - x0)**2 <= radius**2:
solid[j, i] = 1
# solid[int(m/2)-20:int(m/2)+20, int(n/10)-20:int(n/10)+20] = 1 # square
path = os.path.dirname(
os.path.abspath(inspect.getfile(inspect.currentframe())))
userGrid = gd.Grid(n, m)
bc = flow_past_cylinder_bc(userGrid, u, rho)
lat_bol = lb.D2Q9(grid=userGrid,
iterations=t,
relaxation_time=tau,
boundary=bc,
solid_cells=solid,
path=path)
ps.save_all(lat_bol, path=path)
ps.plot_streamlines(lat_bol, path=path)
# print(isinstance(gravity, lv.LatticeVelocity))
# profile.run('print \
# lb.D2Q9(grid=userGrid, \
# iterations=t, \
# relaxation_time=tau, \
# boundary=bc, \
# solid_cells=solid); print')
assert isinstance(p_right, float), "Incorrect type"
assert isinstance(p_left, float), "Incorrect type"
for i in range(0, grid.width):
boundaries.append(gd.Boundary(grid.top_faces[i], 'zoe_he_velocity', value=u))
boundaries.append(gd.Boundary(grid.bottom_faces[i], 'zoe_he_velocity', value=u))
for i in range(0, grid.height):
boundaries.append(gd.Boundary(grid.left_faces[i], 'zoe_he_pressure', value=p_left))
boundaries.append(gd.Boundary(grid.right_faces[i], 'zoe_he_pressure', value=p_right))
return boundaries
if __name__ == "__main__":
n = 30 # length - 0x
m = 200 # height - 0y
v = 0.1 # viscosity
p_left = 2. / 1. # left pressure
p_right = 1. / 1. # right pressure
t_f = 500 # final time
tau = v * 3. + 0.5
user_grid = gd.Grid(width=m, height=n)
# boundary conditions
bc = pipe_pp_bc(grid=user_grid, p_right=p_right, p_left=p_left)
lat_bol = lb.D2Q9(grid=user_grid,
iterations=t_f,
boundary=bc,
relaxation_time=tau)
path = os.path.dirname(os.path.abspath(inspect.getfile(inspect.currentframe())))
print(path)
ps.save_all(lat_bol,path=path)
ps.plot_streamlines(lat_bol, path=path)