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

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renaming examples part 1
1
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 save_path= os.path.join("data","example01")
69 #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 #example01tempT.avi")

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