/[escript]/trunk/doc/examples/geotutorial/backward_euler.py
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Revision 2344 - (hide annotations)
Mon Mar 30 02:13:58 2009 UTC (12 years, 8 months ago) by jfenwick
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Change __url__ to launchpad site

1 gross 2156 ########################################################
2     #
3     # Copyright (c) 2003-2008 by University of Queensland
4     # Earth Systems Science Computational Center (ESSCC)
5     # http://www.uq.edu.au/esscc
6     #
7     # Primary Business: Queensland, Australia
8     # Licensed under the Open Software License version 3.0
9     # http://www.opensource.org/licenses/osl-3.0.php
10     #
11     ########################################################
12    
13     __copyright__="""Copyright (c) 2003-2008 by University of Queensland
14     Earth Systems Science Computational Center (ESSCC)
15     http://www.uq.edu.au/esscc
16     Primary Business: Queensland, Australia"""
17     __license__="""Licensed under the Open Software License version 3.0
18     http://www.opensource.org/licenses/osl-3.0.php"""
19 jfenwick 2344 __url__="https://launchpad.net/escript-finley"
20 gross 2156
21     # import tools
22     from esys.escript import *
23     from esys.escript.linearPDEs import LinearPDE
24     from esys.finley import Rectangle
25     # end of simulation time
26     t_end=0.1
27     # time step size:
28     dt=0.01
29     # dimensions:
30     L0=1.;L1=1.
31     # location, size and value of heat source
32     xc=[0.3,0.4]; r=0.1; Qc=3000
33     # material parameter
34     k=1; rhocp=100;
35     # bottom temperature:
36     T_bot=100
37     # generate domain:
38     mydomain=Rectangle(l0=L0,l1=L1,n0=20,n1=20)
39     x=mydomain.getX()
40     # set boundray temperature:
41     T_D=T_bot/L1*(L1-x[1])
42     # set heat source:
43     Q=Qc*whereNegative(length(x-xc)-r)
44     # generate domain:
45     mypde=LinearPDE(mydomain)
46     mypde.setSymmetryOn()
47     # set PDE coefficients:
48     mypde.setValue(A=dt*k*kronecker(mydomain), D=dt*rhocp,
49     r=T_D, q=whereZero(x[1])+whereZero(x[1]-L1))
50     # initial temperature
51     T=T_D
52     # step counter and time marker:
53     N=0; t=0
54     # stop when t_end is reached:
55     while t<t_end:
56     print N,"-th time step t=",t
57     # update PDE coefficient:
58     mypde.setValue(Y=dt*rhocp*T+dt*Q)
59     # new temperature:
60     T=mypde.getSolution()
61     # save to vtk for mayavi:
62     saveVTK("u.%s.xml"%N,T=T)
63     # increase counter and marker:
64     N+=1; t+=dt

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