__license__="""Licensed under the Apache License, version 2.0
http://www.apache.org/licenses/LICENSE-2.0"""
__url__="https://launchpad.net/escript-finley"
import sys
# get the tools we want to use
from esys.escript import *
from esys.weipa import saveVTK
try:
from esys.dudley import Rectangle
# some parameters
L0=1.
L1=1.
T_bot=100
# generate n0 x n1 elements over [0,l0] x [0,l1]
mydomain=Rectangle(l0=L0,l1=L1,n0=20,n1=20)
# print spatial dimension:
print("dimension = ",mydomain.getDim())
# get coordinates of points in domain:
x=mydomain.getX()
print(x)
# set a function
T_D=T_bot/L1*(L1-x[1])
# save T_D for visualisation
saveVTK("u.vtu",T=T_D)
except ImportError:
print("Dudley module not available")
t_step = 0
t_step_end = 2000
TOL = 1.0e-5
max_iter = 400
verbose = True
useUzawa = True
#define mesh
l0 = 0.9142
l1 = 1.0
n0 = 200
n1 = 200
mesh = Rectangle(l0=l0, l1=l1, order=2, n0=n0, n1=n1)
#get mesh dimensions
numDim = mesh.getDim()
#get element size
h = Lsup(mesh.getSize())
#level set parameters
tolerance = 1.0e-6
reinit_max = 30
reinit_each = 3
alpha = 1
smooth = alpha * h
#boundary conditions
x = mesh.getX()
#left + bottom + right + top
b_c = whereZero(x[0]) * [1.0, 0.0] + whereZero(x[1]) * [1.0, 1.0] + whereZero(
x[0] - l0) * [1.0, 0.0] + whereZero(x[1] - l1) * [1.0, 1.0]
__license__="""Licensed under the Apache License, version 2.0
http://www.apache.org/licenses/LICENSE-2.0"""
__url__="https://launchpad.net/escript-finley"
import sys
# get the tools we want to use
from esys.escript import *
from esys.weipa import saveVTK
try:
from esys.dudley import Rectangle
# some parameters
L0=1.
L1=1.
T_bot=100
# generate n0 x n1 elements over [0,l0] x [0,l1]
mydomain=Rectangle(l0=L0,l1=L1,n0=20,n1=20)
# print spatial dimension:
print("dimension = ",mydomain.getDim())
# get coordinates of points in domain:
x=mydomain.getX()
print(x)
# set a function
T_D=T_bot/L1*(L1-x[1])
# save T_D for visualisation
saveVTK("u.vtu",T=T_D)
except ImportError:
print("Dudley module not available")
t_step = 0 t_step_end = 2000 TOL = 1.0e-5 max_iter=400 verbose=True useUzawa=True #define mesh l0=0.9142 l1=1.0 n0=200 n1=200 mesh=Rectangle(l0=l0, l1=l1, order=2, n0=n0, n1=n1) #get mesh dimensions numDim = mesh.getDim() #get element size h = Lsup(mesh.getSize()) #level set parameters tolerance = 1.0e-6 reinit_max = 30 reinit_each = 3 alpha = 1 smooth = alpha*h #boundary conditions x = mesh.getX() #left + bottom + right + top b_c = whereZero(x[0])*[1.0,0.0] + whereZero(x[1])*[1.0,1.0] + whereZero(x[0]-l0)*[1.0,0.0] + whereZero(x[1]-l1)*[1.0,1.0]
# dom=Rectangle(12,8,l0=1.5)
# dom=Rectangle(24,16,l0=1.5)
dom=Rectangle(48,32,l0=1.5)
# dom=Rectangle(8*48,8*32,l0=1.5)
# dom=Rectangle(120,80,l0=1.5)
V=Scalar(1.,Function(dom))*[-1.,0]
THETA=0.
fc=TransportPDE(dom,num_equations=1,theta=THETA)
fc.setTolerance(1.e-12)
fc.setValue(M=Scalar(1.,Function(dom)),C=V)
x=dom.getX()
x_0=[0.5,0.5]
sigma=0.075
u0=1.
for i in range(dom.getDim()):
u0=u0*exp(-(x[i]-x_0[i])**2/sigma**2)
u0=whereNonPositive(abs(x[0]-0.4)-0.2)*whereNonPositive(abs(x[1]-0.5)-0.2)
# f1=0.5
# f2=2.
# u0=f2*clip(x[0]-0.5,0.)-clip(0.5-x[0],0.)*f1+f1*0.5
# u0=exp(-3*(x[0]-2.)**2)
# u0=x[0]
u0/=Lsup(u0)
c=0
saveVTK("u.%s.vtu"%c,u=u0)
fc.setInitialSolution(u0)
t_end=0.6
dt=2.49999e-2*0+6.2499999e-02/4
