/[escript]/trunk/doc/examples/cookbook/example01b.py
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Annotation of /trunk/doc/examples/cookbook/example01b.py

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Revision 2904 - (hide annotations)
Tue Feb 2 04:21:52 2010 UTC (9 years, 10 months ago) by gross
Original Path: trunk/doc/examples/cookbook/onedheatdiff001.py
File MIME type: text/x-python
File size: 4040 byte(s)
more revision on cookbook: example 1 and 2 have been swapped.
1 ahallam 2401
2     ########################################################
3     #
4 gross 2904 # Copyright (c) 2009 by University of Queensland
5 ahallam 2401 # 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 gross 2904 __copyright__="""Copyright (c) 2009 by University of Queensland
15 ahallam 2401 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    
26 gross 2904 # To solve the problem it is necessary to import the modules we require.
27     from esys.escript import * # This imports everything from the escript library
28 ahallam 2606 from esys.escript.unitsSI import *
29 gross 2904 from esys.escript.linearPDEs import LinearPDE # This defines LinearPDE as LinearPDE
30     from esys.finley import Rectangle # This imports the rectangle domain function from finley
31 ahallam 2658 #For interactive use, you can comment out the next two lines
32     import matplotlib
33     matplotlib.use('agg') #It's just here for automated testing
34 ahallam 2606 import pylab as pl #Plotting package.
35     import numpy as np #Array package.
36 gross 2904 import os, sys #This package is necessary to handle saving our data.
37 ahallam 2401
38 gross 2904 # .. MPI WORLD CHECK
39 ahallam 2658 if getMPISizeWorld() > 1:
40 gross 2904 import sys
41     print "This example will not run in an MPI world."
42     sys.exit(0)
43 jfenwick 2648
44 gross 2904 ##ESTABLISHING VARIABLES
45 ahallam 2401 #Domain related.
46 gross 2904 mx = 500*m #meters - model length
47     my = 100*m #meters - model width
48 ahallam 2606 ndx = 100 # mesh steps in x direction
49     ndy = 1 # mesh steps in y direction - one dimension means one element
50 gross 2904 boundloc = mx/2 # location of boundary between the two blocks
51 ahallam 2401 #PDE related
52 ahallam 2494 rho = 7874. *kg/m**3 #kg/m^{3} density of iron
53 gross 2904 cp = 449.*J/(kg*K) # J/Kg.K thermal capacity
54     rhocp = rho*cp
55     kappa = 80.*W/m/K # watts/m.Kthermal conductivity
56     qH=0 * J/(sec*m**3) # J/(sec.m^{3}) no heat source
57     T1=20 * Celsius # initial temperature at Block 1
58     T2=2273. * Celsius # initial temperature at Block 2
59 ahallam 2606
60 gross 2904 t=0 * day # our start time, usually zero
61     tend=50 * yr # - time to end simulation
62 ahallam 2401 outputs = 200 # number of time steps required.
63     h=(tend-t)/outputs #size of time step
64 ahallam 2606 #user warning statement
65 ahallam 2494 print "Expected Number of time outputs is: ", (tend-t)/h
66 ahallam 2401 i=0 #loop counter
67     #the folder to put our outputs in, leave blank "" for script path
68 ahallam 2658 save_path= os.path.join("data","onedheatdiff001")
69 jfenwick 2648 #ensure the dir exists
70 gross 2904 mkDir(save_path, os.path.join(save_path,"tempT"))
71 jfenwick 2648
72 gross 2904 #... generate domain ...
73     blocks = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy)
74     #... open PDE and set coefficients ...
75     mypde=LinearPDE(blocks)
76     mypde.setSymmetryOn()
77     A=zeros((2,2))
78     A[0,0]=kappa
79     mypde.setValue(A=A,D=rhocp/h)
80     # ... set initial temperature ....
81     x=Solution(blocks).getX()
82     T= T1*whereNegative(x[0]-boundloc)+T2*(1-whereNegative(x[0]-boundloc))
83 ahallam 2401
84 gross 2904 # ... open a collector for the time marks and corresponding total energy
85     t_list=[]
86     E_list=[]
87     # ... start iteration:
88     while t<tend:
89     i+=1
90     t+=h
91     mypde.setValue(Y=qH+rhocp/h*T)
92     T=mypde.getSolution()
93     totE=integrate(rhocp*T)
94     print "time step %s at t=%e days completed. total energy = %e."%(i,t/day,totE)
95     t_list.append(t)
96     E_list.append(totE)
97 ahallam 2401
98 gross 2904 # plot the total energy over time:
99     pl.figure(2)
100     pl.plot(t_list,E_list)
101     pl.title("Total Energy")
102     pl.axis([0,max(t_list),0,max(E_list)*1.1])
103     pl.savefig(os.path.join(save_path,"totE.png"))
104     pl.clf()
105 ahallam 2401
106 gross 2904 # compile the *.png files to create a*.avi video that show T change
107 ahallam 2606 # with time. This opperation uses linux mencoder. For other operating
108 jfenwick 2667 # systems it may be possible to use your favourite video compiler to
109 ahallam 2658 # convert image files to videos. To enable this step uncomment the
110     # following lines.
111 ahallam 2606
112 ahallam 2658 #os.system("mencoder mf://"+save_path+"/tempT"+"/*.png -mf type=png:\
113     #w=800:h=600:fps=25 -ovc lavc -lavcopts vcodec=mpeg4 -oac copy -o \
114     #onedheatdiff001tempT.avi")

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