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

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Revision 2980 - (hide annotations)
Tue Mar 9 03:50:58 2010 UTC (9 years, 1 month ago) by artak
File MIME type: text/x-python
File size: 3397 byte(s)
minor change to fix latest bug
1 ahallam 2392
2     ########################################################
3     #
4 jfenwick 2667 # Copyright (c) 2009 by University of Queensland
5 ahallam 2392 # 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 jfenwick 2667 __copyright__="""Copyright (c) 2009 by University of Queensland
15 ahallam 2392 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 ahallam 2977 ############################################################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 ahallam 2392
30 ahallam 2977 #######################################################EXTERNAL MODULES
31 ahallam 2392 # 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 gross 2904 from esys.escript.unitsSI import *
34 ahallam 2392 from esys.escript.linearPDEs import LinearPDE # This defines LinearPDE as LinearPDE
35     from esys.finley import Rectangle # This imports the rectangle domain function from finley
36    
37 ahallam 2977 #################################################ESTABLISHING VARIABLES
38 gross 2904 #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 ahallam 2392 #PDE related
45 gross 2904 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 ahallam 2392
53 ahallam 2977 ################################################ESTABLISHING PARAMETERS
54 gross 2904 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 gross 2949 save_path= os.path.join("data","example01")
63 gross 2904 #ensure the dir exists
64     mkDir(save_path, os.path.join(save_path,"tempT"))
65 ahallam 2392
66 ahallam 2977 ####################################################DOMAIN CONSTRUCTION
67 gross 2904 blocks = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy)
68 ahallam 2977
69     ###############################################ESCRIPT PDE CONSTRUCTION
70 artak 2980 #... open PDE and set coefficients ...
71     mypde=LinearPDE(blocks)
72 ahallam 2392 mypde.setSymmetryOn()
73 gross 2904 A=zeros((2,2))
74     A[0,0]=kappa
75     mypde.setValue(A=A,D=rhocp/h)
76 ahallam 2392 # ... set initial temperature ....
77 gross 2904 x=Solution(blocks).getX()
78     T= T1*whereNegative(x[0]-boundloc)+T2*(1-whereNegative(x[0]-boundloc))
79 ahallam 2392
80 ahallam 2977 ########################################################START ITERATION
81 gross 2904 while t<tend:
82 ahallam 2392 i+=1
83     t+=h
84 gross 2904 mypde.setValue(Y=qH+rhocp/h*T)
85 ahallam 2392 T=mypde.getSolution()
86 gross 2904 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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