/[escript]/trunk/dudley/test/python/RT2D.py
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Annotation of /trunk/dudley/test/python/RT2D.py

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Revision 2129 - (hide annotations)
Thu Dec 4 03:53:02 2008 UTC (10 years, 10 months ago) by lgraham
Original Path: trunk/doc/examples/RT2D.py
File MIME type: text/x-python
File size: 2649 byte(s)
Added RT2D.py python script for levelset tutorial to examples directory.

1 lgraham 2129 from esys.escript import *
2     import esys.finley
3     from esys.escript.models import StokesProblemCartesian
4     from esys.finley import finley
5     from esys.finley import Rectangle
6     from LevelSet import *
7    
8     #physical properties
9     rho1 = 1000 #fluid density on bottom
10     rho2 = 1010 #fluid density on top
11     eta1 = 100.0 #fluid viscosity on bottom
12     eta2 = 100.0 #fluid viscosity on top
13     g=10.0
14    
15     #solver settings
16     dt = 0.001
17     t_step = 0
18     t_step_end = 2000
19     TOL = 1.0e-5
20     max_iter=400
21     verbose=True
22     useUzawa=True
23    
24     #define mesh
25     l0=0.9142
26     l1=1.0
27     n0=200
28     n1=200
29    
30     mesh=Rectangle(l0=l0, l1=l1, order=2, n0=n0, n1=n1)
31     #get mesh dimensions
32     numDim = mesh.getDim()
33     #get element size
34     h = Lsup(mesh.getSize())
35    
36     #level set parameters
37     tolerance = 1.0e-6
38     reinit_max = 30
39     reinit_each = 3
40     alpha = 1
41     smooth = alpha*h
42    
43     #boundary conditions
44     x = mesh.getX()
45     #left + bottom + right + top
46     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]
47    
48     velocity = Vector(0.0, ContinuousFunction(mesh))
49     pressure = Scalar(0.0, ContinuousFunction(mesh))
50     Y = Vector(0.0,Function(mesh))
51    
52     #define initial interface between fluids
53     xx = mesh.getX()[0]
54     yy = mesh.getX()[1]
55     func = Scalar(0.0, ContinuousFunction(mesh))
56     h_interface = Scalar(0.0, ContinuousFunction(mesh))
57     h_interface = h_interface + (0.02*cos(math.pi*xx/l0) + 0.2)
58     func = yy - h_interface
59     func_new = func.interpolate(ReducedSolution(mesh))
60    
61     #Stokes Cartesian
62     solution=StokesProblemCartesian(mesh,debug=True)
63     solution.setTolerance(TOL)
64     solution.setSubProblemTolerance(TOL**2)
65    
66     #level set
67     levelset = LevelSet(mesh, func_new, reinit_max, reinit_each, tolerance, smooth)
68    
69     while t_step <= t_step_end:
70     #update density and viscosity
71     rho = levelset.update_parameter(rho1, rho2)
72     eta = levelset.update_parameter(eta1, eta2)
73    
74     #get velocity and pressure of fluid
75     Y[1] = -rho*g
76     solution.initialize(fixed_u_mask=b_c,eta=eta,f=Y)
77     velocity,pressure=solution.solve(velocity,pressure,max_iter=max_iter,verbose=verbose,useUzawa=useUzawa)
78    
79     #update the interface
80     func = levelset.update_phi(velocity, dt, t_step)
81    
82     print "##########################################################"
83     print "time step:", t_step, " completed with dt:", dt
84     print "Velocity: min =", inf(velocity), "max =", Lsup(velocity)
85     print "##########################################################"
86    
87     #save interface, velocity and pressure
88     saveVTK("phi2D.%2.4i.vtu"%t_step,interface=func,velocity=velocity,pressure=pressure)
89     #courant condition
90     dt = 0.4*Lsup(mesh.getSize())/Lsup(velocity)
91     t_step += 1

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