/[escript]/trunk/doc/examples/cookbook/example01a.py
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Contents of /trunk/doc/examples/cookbook/example01a.py

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Merging dudley and scons updates from branches

1
2 ########################################################
3 #
4 # Copyright (c) 2009 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) 2009 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 """
23 Author: Antony Hallam antony.hallam@uqconnect.edu.au
24 """
25 ############################################################FILE HEADER
26 # example01a.py
27 # Model temperature diffusion between two granite blocks of unequal
28 # initial temperature. Solve for total energy in the system.
29
30 #######################################################EXTERNAL MODULES
31 # To solve the problem it is necessary to import the modules we require.
32 from esys.escript import * # This imports everything from the escript library
33 from esys.escript.unitsSI import *
34 from esys.escript.linearPDEs import LinearPDE # This defines LinearPDE as LinearPDE
35 from esys.finley import Rectangle # This imports the rectangle domain function
36
37 #################################################ESTABLISHING VARIABLES
38 #Domain related.
39 mx = 500*m #meters - model length
40 my = 100*m #meters - model width
41 ndx = 100 # mesh steps in x direction
42 ndy = 1 # mesh steps in y direction - one dimension means one element
43 boundloc = mx/2 # location of boundary between the two blocks
44 #PDE related
45 rho = 7874. *kg/m**3 #kg/m^{3} density of iron
46 cp = 449.*J/(kg*K) # J/Kg.K thermal capacity
47 rhocp = rho*cp
48 kappa = 80.*W/m/K # watts/m.Kthermal conductivity
49 qH=0 * J/(sec*m**3) # J/(sec.m^{3}) no heat source
50 T1=20 * Celsius # initial temperature at Block 1
51 T2=2273. * Celsius # initial temperature at Block 2
52
53 ################################################ESTABLISHING PARAMETERS
54 t=0 * day # our start time, usually zero
55 tend=50 * yr # - time to end simulation
56 outputs = 200 # number of time steps required.
57 h=(tend-t)/outputs #size of time step
58 #user warning statement
59 print "Expected Number of time outputs is: ", (tend-t)/h
60 i=0 #loop counter
61 #the folder to put our outputs in, leave blank "" for script path
62 save_path= os.path.join("data","example01")
63 #ensure the dir exists
64 mkDir(save_path, os.path.join(save_path,"tempT"))
65
66 ####################################################DOMAIN CONSTRUCTION
67 blocks = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy)
68
69 ###############################################ESCRIPT PDE CONSTRUCTION
70 #... open PDE and set coefficients ...
71 mypde=LinearPDE(blocks)
72 mypde.setSymmetryOn()
73 A=zeros((2,2))
74 A[0,0]=kappa
75 mypde.setValue(A=A,D=rhocp/h)
76 # ... set initial temperature ....
77 x=Solution(blocks).getX()
78 T= T1*whereNegative(x[0]-boundloc)+T2*(1-whereNegative(x[0]-boundloc))
79
80 ########################################################START ITERATION
81 while t<tend:
82 i+=1
83 t+=h
84 mypde.setValue(Y=qH+rhocp/h*T)
85 T=mypde.getSolution()
86 totE=integrate(rhocp*T)
87 print "time step %s at t=%e days completed. total energy = %e."%(i,t/day,totE)

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