/[escript]/trunk/doc/examples/heatedblock.py
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Contents of /trunk/doc/examples/heatedblock.py

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Mon Mar 30 02:13:58 2009 UTC (10 years, 3 months ago) by jfenwick
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Change __url__ to launchpad site

1
2 ########################################################
3 #
4 # Copyright (c) 2003-2008 by University of Queensland
5 # Earth Systems Science Computational Center (ESSCC)
6 # http://www.uq.edu.au/esscc
7 #
8 # Primary Business: Queensland, Australia
9 # Licensed under the Open Software License version 3.0
10 # http://www.opensource.org/licenses/osl-3.0.php
11 #
12 ########################################################
13
14 __copyright__="""Copyright (c) 2003-2008 by University of Queensland
15 Earth Systems Science Computational Center (ESSCC)
16 http://www.uq.edu.au/esscc
17 Primary Business: Queensland, Australia"""
18 __license__="""Licensed under the Open Software License version 3.0
19 http://www.opensource.org/licenses/osl-3.0.php"""
20 __url__="https://launchpad.net/escript-finley"
21
22 from esys.escript import *
23 from esys.escript.linearPDEs import LinearPDE
24 from esys.finley import Brick
25 #... set some parameters ...
26 lam=1.
27 mu=0.1
28 alpha=1.e-6
29 xc=[0.3,0.3,1.]
30 beta=8.
31 T_ref=0.
32 T_0=1.
33 #... generate domain ...
34 mydomain = Brick(l0=1.,l1=1., l2=1.,n0=10, n1=10, n2=10)
35 x=mydomain.getX()
36 #... set temperature ...
37 T=T_0*exp(-beta*length(x-xc))
38 #... open symmetric PDE ...
39 mypde=LinearPDE(mydomain)
40 mypde.setSymmetryOn()
41 #... set coefficients ...
42 C=Tensor4(0.,Function(mydomain))
43 for i in range(mydomain.getDim()):
44 for j in range(mydomain.getDim()):
45 C[i,i,j,j]+=lam
46 C[j,i,j,i]+=mu
47 C[j,i,i,j]+=mu
48 msk=whereZero(x[0])*[1.,0.,0.] \
49 +whereZero(x[1])*[0.,1.,0.] \
50 +whereZero(x[2])*[0.,0.,1.]
51 sigma0=(lam+2./3.*mu)*alpha*(T-T_ref)*kronecker(mydomain)
52 mypde.setValue(A=C,X=sigma0,q=msk)
53 mypde.setSolverMethod(mypde.PCG,mypde.AMG)
54 #... solve pde ...
55 u=mypde.getSolution(verbose=True)
56 #... calculate von-Misses
57 g=grad(u)
58 sigma=mu*(g+transpose(g))+lam*trace(g)*kronecker(mydomain)-sigma0
59 sigma_mises=sqrt(((sigma[0,0]-sigma[1,1])**2+(sigma[1,1]-sigma[2,2])**2+ \
60 (sigma[2,2]-sigma[0,0])**2)/6. \
61 +sigma[0,1]**2 + sigma[1,2]**2 + sigma[2,0]**2)
62 #... output ...
63 saveVTK("deform.xml",disp=u,stress=sigma_mises)
64

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