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

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Revision 2648 - (hide annotations)
Mon Sep 7 00:06:15 2009 UTC (10 years, 3 months ago) by jfenwick
Original Path: trunk/doc/examples/cookbook/onedheatdiff001.py
File MIME type: text/x-python
File size: 5029 byte(s)
ecording some changes related to Anthony's cookbook.
These tests still do not run.

test_heatref.py is the current problem.
Current problems include:
undefined symbols
a dependence on X somehow.

I've already addressed the matplotlib X thing somewhere else.
Find and apply.


1 ahallam 2401
2     ########################################################
3     #
4     # Copyright (c) 2003-2009 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) 2003-2009 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 ahallam 2606 ############################################################FILE HEADER
26     # onedheatdiff001.py
27     # Model temperature diffusion in an Iron bar. This is a one dimensional
28     # problem with a single heat source at the LHS
29 ahallam 2401
30 ahallam 2606 #######################################################EXTERNAL MODULES
31     #To solve the problem it is necessary to import the modules we require.
32     #This imports everything from the escript library
33     from esys.escript import *
34     # This defines the LinearPDE module as LinearPDE
35     from esys.escript.linearPDEs import LinearPDE
36     # This imports the rectangle domain function from finley.
37     from esys.finley import Rectangle
38     # A useful unit handling package which will make sure all our units
39     # match up in the equations under SI.
40     from esys.escript.unitsSI import *
41     import pylab as pl #Plotting package.
42     import numpy as np #Array package.
43 ahallam 2401 import os #This package is necessary to handle saving our data.
44 jfenwick 2648 import cblib
45 ahallam 2401
46 jfenwick 2648
47 ahallam 2606 #################################################ESTABLISHING VARIABLES
48 ahallam 2401 #Domain related.
49 ahallam 2606 mx = 1*m #meters - model length
50 ahallam 2494 my = .1*m #meters - model width
51 ahallam 2606 ndx = 100 # mesh steps in x direction
52     ndy = 1 # mesh steps in y direction - one dimension means one element
53 ahallam 2401
54     #PDE related
55 ahallam 2494 q=200. * Celsius #Kelvin - our heat source temperature
56 ahallam 2606 Tref = 0. * Celsius #Kelvin - starting temp of iron bar
57 ahallam 2494 rho = 7874. *kg/m**3 #kg/m^{3} density of iron
58     cp = 449.*J/(kg*K) #j/Kg.K thermal capacity
59 ahallam 2401 rhocp = rho*cp
60 ahallam 2494 kappa = 80.*W/m/K #watts/m.Kthermal conductivity
61 ahallam 2606
62 ahallam 2401 #Script/Iteration Related
63     t=0 #our start time, usually zero
64 ahallam 2494 tend=5.*minute #seconds - time to end simulation
65 ahallam 2401 outputs = 200 # number of time steps required.
66     h=(tend-t)/outputs #size of time step
67 ahallam 2606 #user warning statement
68 ahallam 2494 print "Expected Number of time outputs is: ", (tend-t)/h
69 ahallam 2401 i=0 #loop counter
70     #the folder to put our outputs in, leave blank "" for script path
71 ahallam 2494 save_path="data/onedheatdiff001"
72 ahallam 2401
73 jfenwick 2648 #ensure the dir exists
74     cblib.needdirs([save_path, os.path.join(save_path,"tempT"), os.path.join(save_path, "totT")])
75    
76 ahallam 2606 ################################################ESTABLISHING PARAMETERS
77     #generate domain using rectangle
78 ahallam 2401 rod = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy)
79 ahallam 2606 #extract finite points - the solution points
80 ahallam 2401 x=rod.getX()
81 ahallam 2606 #create the PDE
82     mypde=LinearPDE(rod) #assigns a domain to our PDE
83     mypde.setSymmetryOn() #set the fast solver on for symmetry
84     mypde.setValue(A=kappa*kronecker(rod),D=rhocp/h) #define our PDE coeffs
85     qH=q*whereZero(x[0]) #set heat source
86     T=Tref # set initial temperature
87 ahallam 2401
88 ahallam 2606 #convert solution points for plotting
89     plx = x.toListOfTuples()
90     plx = np.array(plx) #convert to tuple to numpy array
91     plx = plx[:,0] #extract x locations
92 ahallam 2401
93 ahallam 2606 ########################################################START ITERATION
94 ahallam 2401 while t<=tend:
95 ahallam 2606 i+=1 #increment the counter
96     t+=h #increment the current time
97     mypde.setValue(Y=qH+rhocp/h*T) #set variable PDE coefficients
98     T=mypde.getSolution() #get the PDE solution
99     totT = rhocp*T #get the total heat solution in the system
100    
101     #establish figure 1 for temperature vs x plots
102 ahallam 2589 tempT = T.toListOfTuples(scalarastuple=False)
103 ahallam 2606 pl.figure(1) #current figure
104     pl.plot(plx,tempT) #plot solution
105     #define axis extents and title
106     pl.axis([0,1.0,273.14990+0.00008,0.004+273.1499])
107     pl.title("Temperature accross Rod")
108     #save figure to file
109     pl.savefig(os.path.join(save_path+"/tempT","rodpyplot%03d.png") %i)
110     pl.clf() #clear figure
111    
112     #establish figure 2 for total temperature vs x plots and repeat
113     tottempT = totT.toListOfTuples(scalarastuple=False)
114     pl.figure(2)
115     pl.plot(plx,tottempT)
116     pl.axis([0,1.0,9.657E08,12000+9.657E08])
117     pl.title("Total temperature accross Rod")
118     pl.savefig(os.path.join(save_path+"/totT","ttrodpyplot%03d.png")%i)
119     pl.clf()
120 ahallam 2401
121 ahallam 2606 # compile the *.png files to create two *.avi videos that show T change
122     # with time. This opperation uses linux mencoder. For other operating
123     # systems it is possible to use your favourite video compiler to
124     # convert image files to videos.
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     onedheatdiff001tempT.avi")
129    
130     os.system("mencoder mf://"+save_path+"/totT"+"/*.png -mf type=png:\
131     w=800:h=600:fps=25 -ovc lavc -lavcopts vcodec=mpeg4 -oac copy -o \
132     onedheatdiff001totT.avi")

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