/[escript]/trunk/doc/examples/cookbook/example01c.py
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Thu Feb 25 05:23:11 2010 UTC (9 years, 6 months ago) by gross
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renaming examples part 1
1 gross 2904
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    
26     # 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     from esys.escript.unitsSI import *
29     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     #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     import pylab as pl #Plotting package.
35     import numpy as np #Array package.
36     import os, sys #This package is necessary to handle saving our data.
37    
38     # .. MPI WORLD CHECK
39     if getMPISizeWorld() > 1:
40     import sys
41     print "This example will not run in an MPI world."
42     sys.exit(0)
43    
44     ##ESTABLISHING VARIABLES
45     #Domain related.
46     mx = 500*m #meters - model length
47     my = 100*m #meters - model width
48     ndx = 100 # mesh steps in x direction
49     ndy = 1 # mesh steps in y direction - one dimension means one element
50     boundloc = mx/2 # location of boundary between the two blocks
51     #PDE related
52     rho = 7874. *kg/m**3 #kg/m^{3} density of iron
53     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    
60     t=0 * day # our start time, usually zero
61     tend=50 * yr # - time to end simulation
62     outputs = 200 # number of time steps required.
63     h=(tend-t)/outputs #size of time step
64     #user warning statement
65     print "Expected Number of time outputs is: ", (tend-t)/h
66     i=0 #loop counter
67     #the folder to put our outputs in, leave blank "" for script path
68 gross 2949 save_path= os.path.join("data","example01")
69 gross 2904 #ensure the dir exists
70     mkDir(save_path, os.path.join(save_path,"tempT"))
71    
72     #... 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    
84     # ... open a collector for the time marks and corresponding total energy
85     t_list=[]
86     E_list=[]
87     # ... convert solution points for plotting
88     plx = x.toListOfTuples()
89     plx = np.array(plx) #convert to tuple to numpy array
90     plx = plx[:,0] #extract x locations
91     # ... start iteration:
92     while t<tend:
93     i+=1
94     t+=h
95     mypde.setValue(Y=qH+rhocp/h*T)
96     T=mypde.getSolution()
97     totE=integrate(rhocp*T)
98     print "time step %s at t=%e days completed. total energy = %e."%(i,t/day,totE)
99     t_list.append(t)
100     E_list.append(totE)
101    
102     #establish figure 1 for temperature vs x plots
103     tempT = T.toListOfTuples()
104     pl.figure(1) #current figure
105     pl.plot(plx,tempT) #plot solution
106     # add title
107     pl.axis([0,mx,T1*.9,T2*1.1])
108     pl.title("Temperature across blocks at time %d days"%(t/day))
109     #save figure to file
110     pl.savefig(os.path.join(save_path,"tempT", "blockspyplot%03d.png"%i))
111     pl.clf() #clear figure
112     # plot the total energy over time:
113     pl.figure(2)
114     pl.plot(t_list,E_list)
115     pl.title("Total Energy")
116     pl.axis([0,max(t_list),0,max(E_list)*1.1])
117     pl.savefig(os.path.join(save_path,"totE.png"))
118     pl.clf()
119    
120     # compile the *.png files to create a*.avi video that show T change
121     # with time. This opperation uses linux mencoder. For other operating
122     # systems it may be possible to use your favourite video compiler to
123     # convert image files to videos. To enable this step uncomment the
124     # following lines.
125    
126     #os.system("mencoder mf://"+save_path+"/tempT"+"/*.png -mf type=png:\
127     #w=800:h=600:fps=25 -ovc lavc -lavcopts vcodec=mpeg4 -oac copy -o \
128 gross 2949 #example01tempT.avi")

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