/[escript]/trunk/doc/examples/geotutorial/forward_euler.py
ViewVC logotype

Annotation of /trunk/doc/examples/geotutorial/forward_euler.py

Parent Directory Parent Directory | Revision Log Revision Log


Revision 2881 - (hide annotations)
Thu Jan 28 02:03:15 2010 UTC (9 years, 5 months ago) by jfenwick
File MIME type: text/x-python
File size: 1987 byte(s)
Don't panic.
Updating copyright stamps

1 gross 2156 ########################################################
2     #
3 jfenwick 2881 # Copyright (c) 2003-2010 by University of Queensland
4 gross 2156 # 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 jfenwick 2881 __copyright__="""Copyright (c) 2003-2010 by University of Queensland
14 gross 2156 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     # dimensions:
28     L0=1.;L1=1.
29     # location, size and value of heat source
30     xc=[0.3,0.4]; r=0.1; Qc=3000
31     # material parameter
32     k=1.; rhocp=100;
33     # bottom temperature:
34     T_bot=100
35     # generate domain:
36     mydomain=Rectangle(l0=L0,l1=L1,n0=20,n1=20)
37     x=mydomain.getX()
38     # set boundray temperature:
39     T_D=T_bot/L1*(L1-x[1])
40     # set heat source:
41     Q=Qc*whereNegative(length(x-xc)-r)
42     # time step size:
43     dt=0.01
44     # or use adaptive choice dt=0.05*inf(rhocp*mydomain.getSize()**2/k)
45     print "time step size = ",dt
46     # generate domain:
47     mypde=LinearPDE(mydomain)
48     mypde.setSymmetryOn()
49     # set PDE coefficients:
50     mypde.setValue(D=rhocp,
51     r=T_D, q=whereZero(x[1])+whereZero(x[1]-L1))
52     # initial temperature
53     T=T_D
54     # step counter and time marker:
55     N=0; t=0
56     # stop when t_end is reached:
57     while t<t_end:
58     print N,"-th time step t=",t," T_max=", Lsup(T)
59     # update PDE coefficient:
60     mypde.setValue(Y=rhocp*T+dt*Q, X=-k*dt*grad(T))
61     # new temperature:
62     T=mypde.getSolution()
63 caltinay 2534 # save as VTK for visualisation:
64     # saveVTK("u.%s.vtu"%N,T=T)
65 gross 2156 # increase counter and marker:
66     N+=1; t+=dt

  ViewVC Help
Powered by ViewVC 1.1.26