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1 ##############################################################################
2 #
3 # Copyright (c) 2008-2013 by University of Queensland
4 # http://www.uq.edu.au
5 #
6 # Primary Business: Queensland, Australia
7 # Licensed under the Open Software License version 3.0
8 # http://www.opensource.org/licenses/osl-3.0.php
9 #
10 # Development until 2012 by Earth Systems Science Computational Center (ESSCC)
11 # Development since 2012 by School of Earth Sciences
12 #
13 ##############################################################################
14
15 ######## August 2008 ########
16 ########## Leon Graham ##########
17 ## Newtonian fluid using StokesProblemCartesian class##
18
19 from esys.escript import *
20 import esys.finley
21 from esys.escript.linearPDEs import LinearPDE
22 from esys.escript.models import StokesProblemCartesian
23 from esys.weipa import saveVTK
24
25 #physical constants
26 eta=1.0
27 rho=100.0
28 g=10.0
29
30 #solver settings
31 tolerance=1.0e-4
32 max_iter=200
33 t_end=50
34 t=0.0
35 time=0
36 verbose='TRUE'
37 useUzawa='TRUE'
38
39 #define mesh
40 H=2.0
41 L=1.0
42 W=1.0
43 mesh = esys.finley.Rectangle(l0=L, l1=H, order=-1, n0=20, n1=20, useElementsOnFace=0) # use linear macro elements for pressure
44 coordinates = mesh.getX()
45
46 #gravitational force
47 Y=Vector(0.0, Function(mesh))
48 Y[1]=-rho*g
49
50 #element spacing
51 h=Lsup(mesh.getSize())
52
53 #boundary conditions for slip at base
54 boundary_cond=whereZero(coordinates[1])*[0.0,1.0]+whereZero(coordinates[0])*[1.0,0.0]
55
56 #velocity and pressure vectors
57 velocity=Vector(0.0, Solution(mesh))
58 pressure=Scalar(0.0, ReducedSolution(mesh))
59
60 #Stokes Cartesian
61 solution=StokesProblemCartesian(mesh)
62 solution.setTolerance(tolerance)
63
64 while t <= t_end:
65
66 print(" ----- Time step = %s -----"%( t ))
67 print("Time = %s seconds"%( time ))
68
69 solution.initialize(fixed_u_mask=boundary_cond,eta=eta,f=Y)
70 velocity,pressure=solution.solve(velocity,pressure,max_iter=max_iter,verbose=verbose,usePCG=True)
71
72 print("Max velocity =", Lsup(velocity), "m/s")
73
74 #Courant condition
75 dt=0.4*h/(Lsup(velocity))
76 print("dt", dt)
77
78 #displace the mesh
79 displacement = velocity * dt
80 coordinates = mesh.getX()
81 newx=interpolate(coordinates + displacement, ContinuousFunction(mesh))
82 mesh.setX(newx)
83
84 time += dt
85
86 vel_mag = length(velocity)
87
88 #save velocity and pressure output
89 saveVTK("vel.%2.2i.vtu"%(t),vel=vel_mag,vec=velocity,pressure=pressure)
90 t = t+1.0

Properties

Name Value
svn:mergeinfo /branches/lapack2681/doc/examples/usersguide/fluid.py:2682-2741 /branches/pasowrap/doc/examples/usersguide/fluid.py:3661-3674 /branches/py3_attempt2/doc/examples/usersguide/fluid.py:3871-3891 /branches/restext/doc/examples/usersguide/fluid.py:2610-2624 /branches/ripleygmg_from_3668/doc/examples/usersguide/fluid.py:3669-3791 /branches/symbolic_from_3470/doc/examples/usersguide/fluid.py:3471-3974 /branches/symbolic_from_3470/ripley/test/python/doc/examples/usersguide/fluid.py:3517-3974 /trunk/doc/examples/usersguide/fluid.py:4257-4344 /trunk/ripley/test/python/doc/examples/usersguide/fluid.py:3480-3515

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