/[escript]/trunk/doc/examples/cookbook/example01c.py
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Annotation of /trunk/doc/examples/cookbook/example01c.py

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Revision 3374 - (hide annotations)
Tue Nov 23 00:30:20 2010 UTC (8 years, 10 months ago) by ahallam
File MIME type: text/x-python
File size: 5419 byte(s)
Fixes to example scripts.
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 ahallam 2977 ############################################################FILE HEADER
27     # example01c.py
28     # Model temperature diffusion between two granite blocks of unequal
29     # initial temperature. Solve for the spatial distribution of temperature.
30    
31 gross 2904 # 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 jfenwick 3259 from esys.finley import Rectangle # This imports the rectangle domain function
36 gross 2904 #For interactive use, you can comment out the next two lines
37     import matplotlib
38     matplotlib.use('agg') #It's just here for automated testing
39     import pylab as pl #Plotting package.
40     import numpy as np #Array package.
41     import os, sys #This package is necessary to handle saving our data.
42    
43 ahallam 2977 ########################################################MPI WORLD CHECK
44 gross 2904 if getMPISizeWorld() > 1:
45     import sys
46     print "This example will not run in an MPI world."
47     sys.exit(0)
48    
49 ahallam 2977 #################################################ESTABLISHING VARIABLES
50 gross 2904 #Domain related.
51     mx = 500*m #meters - model length
52     my = 100*m #meters - model width
53     ndx = 100 # mesh steps in x direction
54     ndy = 1 # mesh steps in y direction - one dimension means one element
55     boundloc = mx/2 # location of boundary between the two blocks
56     #PDE related
57 ahallam 3374 rho = 2750. *kg/m**3 #kg/m{3} density of iron
58     cp = 790.*J/(kg*K) # J/Kg.K thermal capacity
59     rhocp = rho*cp
60     kappa = 2.2*W/m/K # watts/m.Kthermal conductivity
61     qH=0 * J/(sec*m**3) # J/(sec.m{3}) no heat source
62 gross 2904 T1=20 * Celsius # initial temperature at Block 1
63 ahallam 3374 T2=2273. * Celsius # base temperature at Block 2
64 gross 2904
65 ahallam 2977 ################################################ESTABLISHING PARAMETERS
66 gross 2904 t=0 * day # our start time, usually zero
67     tend=50 * yr # - time to end simulation
68     outputs = 200 # number of time steps required.
69     h=(tend-t)/outputs #size of time step
70     #user warning statement
71     print "Expected Number of time outputs is: ", (tend-t)/h
72     i=0 #loop counter
73     #the folder to put our outputs in, leave blank "" for script path
74 gross 2949 save_path= os.path.join("data","example01")
75 gross 2904 #ensure the dir exists
76     mkDir(save_path, os.path.join(save_path,"tempT"))
77    
78 ahallam 2977 ####################################################DOMAIN CONSTRUCTION
79 gross 2904 blocks = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy)
80 ahallam 2977
81     ###############################################ESCRIPT PDE CONSTRUCTION
82 gross 2904 #... open PDE and set coefficients ...
83     mypde=LinearPDE(blocks)
84     mypde.setSymmetryOn()
85     A=zeros((2,2))
86     A[0,0]=kappa
87     mypde.setValue(A=A,D=rhocp/h)
88     # ... set initial temperature ....
89     x=Solution(blocks).getX()
90     T= T1*whereNegative(x[0]-boundloc)+T2*(1-whereNegative(x[0]-boundloc))
91    
92     # ... open a collector for the time marks and corresponding total energy
93     t_list=[]
94     E_list=[]
95     # ... convert solution points for plotting
96     plx = x.toListOfTuples()
97     plx = np.array(plx) #convert to tuple to numpy array
98     plx = plx[:,0] #extract x locations
99 ahallam 2977 ########################################################START ITERATION
100 gross 2904 while t<tend:
101     i+=1
102     t+=h
103     mypde.setValue(Y=qH+rhocp/h*T)
104     T=mypde.getSolution()
105     totE=integrate(rhocp*T)
106     print "time step %s at t=%e days completed. total energy = %e."%(i,t/day,totE)
107     t_list.append(t)
108     E_list.append(totE)
109    
110     #establish figure 1 for temperature vs x plots
111     tempT = T.toListOfTuples()
112     pl.figure(1) #current figure
113     pl.plot(plx,tempT) #plot solution
114     # add title
115     pl.axis([0,mx,T1*.9,T2*1.1])
116     pl.title("Temperature across blocks at time %d days"%(t/day))
117 ahallam 3374 pl.ylabel('Temperature (K)')
118     pl.xlabel("Length (m)")
119 gross 2904 #save figure to file
120     pl.savefig(os.path.join(save_path,"tempT", "blockspyplot%03d.png"%i))
121     pl.clf() #clear figure
122 ahallam 2977
123     ###############################################################PLOTTING
124 gross 2904 # plot the total energy over time:
125     pl.figure(2)
126     pl.plot(t_list,E_list)
127     pl.title("Total Energy")
128     pl.axis([0,max(t_list),0,max(E_list)*1.1])
129 ahallam 3374 pl.ylabel('Energy (W)')
130     pl.xlabel('Time (s)')
131     pl.savefig(os.path.join(save_path,"totE_ex01c.png"))
132 gross 2904 pl.clf()
133    
134 ahallam 2977 ###########################################################MAKE A MOVIE
135 gross 2904 # compile the *.png files to create a*.avi video that show T change
136     # with time. This opperation uses linux mencoder. For other operating
137     # systems it may be possible to use your favourite video compiler to
138     # convert image files to videos. To enable this step uncomment the
139     # following lines.
140    
141     #os.system("mencoder mf://"+save_path+"/tempT"+"/*.png -mf type=png:\
142     #w=800:h=600:fps=25 -ovc lavc -lavcopts vcodec=mpeg4 -oac copy -o \
143 gross 2949 #example01tempT.avi")

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