/[escript]/trunk/doc/examples/usersguide/fluid.py
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Revision 4657 - (show annotations)
Thu Feb 6 06:12:20 2014 UTC (5 years, 8 months ago) by jfenwick
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I changed some files.
Updated copyright notices, added GeoComp.



1 ##############################################################################
2 #
3 # Copyright (c) 2008-2014 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 2012-2013 by School of Earth Sciences
12 # Development from 2014 by Centre for Geoscience Computing (GeoComp)
13 #
14 ##############################################################################
15
16 ######## August 2008 ########
17 ########## Leon Graham ##########
18 ## Newtonian fluid using StokesProblemCartesian class##
19
20 from esys.escript import *
21 import esys.finley
22 from esys.escript.linearPDEs import LinearPDE
23 from esys.escript.models import StokesProblemCartesian
24 from esys.weipa import saveVTK
25
26 #physical constants
27 eta=1.0
28 rho=100.0
29 g=10.0
30
31 #solver settings
32 tolerance=1.0e-4
33 max_iter=200
34 t_end=50
35 t=0.0
36 time=0
37 verbose='TRUE'
38 useUzawa='TRUE'
39
40 #define mesh
41 H=2.0
42 L=1.0
43 W=1.0
44 mesh = esys.finley.Rectangle(l0=L, l1=H, order=-1, n0=20, n1=20, useElementsOnFace=0) # use linear macro elements for pressure
45 coordinates = mesh.getX()
46
47 #gravitational force
48 Y=Vector(0.0, Function(mesh))
49 Y[1]=-rho*g
50
51 #element spacing
52 h=Lsup(mesh.getSize())
53
54 #boundary conditions for slip at base
55 boundary_cond=whereZero(coordinates[1])*[0.0,1.0]+whereZero(coordinates[0])*[1.0,0.0]
56
57 #velocity and pressure vectors
58 velocity=Vector(0.0, Solution(mesh))
59 pressure=Scalar(0.0, ReducedSolution(mesh))
60
61 #Stokes Cartesian
62 solution=StokesProblemCartesian(mesh)
63 solution.setTolerance(tolerance)
64
65 while t <= t_end:
66
67 print(" ----- Time step = %s -----"%( t ))
68 print("Time = %s seconds"%( time ))
69
70 solution.initialize(fixed_u_mask=boundary_cond,eta=eta,f=Y)
71 velocity,pressure=solution.solve(velocity,pressure,max_iter=max_iter,verbose=verbose,usePCG=True)
72
73 print("Max velocity =", Lsup(velocity), "m/s")
74
75 #Courant condition
76 dt=0.4*h/(Lsup(velocity))
77 print("dt", dt)
78
79 #displace the mesh
80 displacement = velocity * dt
81 coordinates = mesh.getX()
82 newx=interpolate(coordinates + displacement, ContinuousFunction(mesh))
83 mesh.setX(newx)
84
85 time += dt
86
87 vel_mag = length(velocity)
88
89 #save velocity and pressure output
90 saveVTK("vel.%2.2i.vtu"%(t),vel=vel_mag,vec=velocity,pressure=pressure)
91 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/ripley/test/python/doc/examples/usersguide/fluid.py:3480-3515

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