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

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Revision 4657 - (show annotations)
Thu Feb 6 06:12:20 2014 UTC (5 years, 8 months ago) by jfenwick
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I changed some files.
Updated copyright notices, added GeoComp.



1
2 ##############################################################################
3 #
4 # Copyright (c) 2009-2014 by University of Queensland
5 # http://www.uq.edu.au
6 #
7 # Primary Business: Queensland, Australia
8 # Licensed under the Open Software License version 3.0
9 # http://www.opensource.org/licenses/osl-3.0.php
10 #
11 # Development until 2012 by Earth Systems Science Computational Center (ESSCC)
12 # Development 2012-2013 by School of Earth Sciences
13 # Development from 2014 by Centre for Geoscience Computing (GeoComp)
14 #
15 ##############################################################################
16
17 __copyright__="""Copyright (c) 2009-2014 by University of Queensland
18 http://www.uq.edu.au
19 Primary Business: Queensland, Australia"""
20 __license__="""Licensed under the Open Software License version 3.0
21 http://www.opensource.org/licenses/osl-3.0.php"""
22 __url__="https://launchpad.net/escript-finley"
23
24 """
25 Author: Antony Hallam antony.hallam@uqconnect.edu.au
26 """
27
28 ############################################################FILE HEADER
29 # example01c.py
30 # Model temperature diffusion between two granite blocks of unequal
31 # initial temperature. Solve for the spatial distribution of temperature.
32
33 # To solve the problem it is necessary to import the modules we require.
34 #For interactive use, you can comment out the next two lines
35 import matplotlib
36 matplotlib.use('agg') #It's just here for automated testing
37 from esys.escript import * # This imports everything from the escript library
38 from esys.escript.unitsSI import *
39 from esys.escript.linearPDEs import LinearPDE # This defines LinearPDE as LinearPDE
40 from esys.finley import Rectangle # This imports the rectangle domain function
41 import pylab as pl #Plotting package.
42 import numpy as np #Array package.
43 import os, sys #This package is necessary to handle saving our data.
44
45 ########################################################MPI WORLD CHECK
46 if getMPISizeWorld() > 1:
47 import sys
48 print("This example will not run in an MPI world.")
49 sys.exit(0)
50
51 #################################################ESTABLISHING VARIABLES
52 #Domain related.
53 mx = 500*m #meters - model length
54 my = 100*m #meters - model width
55 ndx = 100 # mesh steps in x direction
56 ndy = 1 # mesh steps in y direction - one dimension means one element
57 boundloc = mx/2 # location of boundary between the two blocks
58 #PDE related
59 rho = 2750. *kg/m**3 #kg/m{3} density of iron
60 cp = 790.*J/(kg*K) # J/Kg.K thermal capacity
61 rhocp = rho*cp
62 kappa = 2.2*W/m/K # watts/m.Kthermal conductivity
63 qH=0 * J/(sec*m**3) # J/(sec.m{3}) no heat source
64 T1=20 * Celsius # initial temperature at Block 1
65 T2=2273. * Celsius # base temperature at Block 2
66
67 ################################################ESTABLISHING PARAMETERS
68 t=0 * day # our start time, usually zero
69 tend=50 * yr # - time to end simulation
70 outputs = 200 # number of time steps required.
71 h=(tend-t)/outputs #size of time step
72 #user warning statement
73 print("Expected Number of time outputs is: ", (tend-t)/h)
74 i=0 #loop counter
75 #the folder to put our outputs in, leave blank "" for script path
76 save_path= os.path.join("data","example01")
77 #ensure the dir exists
78 mkDir(save_path, os.path.join(save_path,"tempT"))
79
80 ####################################################DOMAIN CONSTRUCTION
81 blocks = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy)
82
83 ###############################################ESCRIPT PDE CONSTRUCTION
84 #... open PDE and set coefficients ...
85 mypde=LinearPDE(blocks)
86 mypde.setSymmetryOn()
87 A=zeros((2,2))
88 A[0,0]=kappa
89 mypde.setValue(A=A,D=rhocp/h)
90 # ... set initial temperature ....
91 x=Solution(blocks).getX()
92 T= T1*whereNegative(x[0]-boundloc)+T2*(1-whereNegative(x[0]-boundloc))
93
94 # ... open a collector for the time marks and corresponding total energy
95 t_list=[]
96 E_list=[]
97 # ... convert solution points for plotting
98 plx = x.toListOfTuples()
99 plx = np.array(plx) #convert to tuple to numpy array
100 plx = plx[:,0] #extract x locations
101 ########################################################START ITERATION
102 while t<tend:
103 i+=1
104 t+=h
105 mypde.setValue(Y=qH+rhocp/h*T)
106 T=mypde.getSolution()
107 totE=integrate(rhocp*T)
108 print("time step %s at t=%e days completed. total energy = %e."%(i,t/day,totE))
109 t_list.append(t)
110 E_list.append(totE)
111
112 #establish figure 1 for temperature vs x plots
113 tempT = T.toListOfTuples()
114 pl.figure(1) #current figure
115 pl.plot(plx,tempT) #plot solution
116 # add title
117 pl.axis([0,mx,T1*.9,T2*1.1])
118 pl.title("Temperature across blocks at time %d days"%(t/day))
119 pl.ylabel('Temperature (K)')
120 pl.xlabel("Length (m)")
121 #save figure to file
122 pl.savefig(os.path.join(save_path,"tempT", "blockspyplot%03d.png"%i))
123 pl.clf() #clear figure
124
125 ###############################################################PLOTTING
126 # plot the total energy over time:
127 pl.figure(2)
128 pl.plot(t_list,E_list)
129 pl.title("Total Energy")
130 pl.axis([0,max(t_list),0,max(E_list)*1.1])
131 pl.ylabel('Energy (W)')
132 pl.xlabel('Time (s)')
133 pl.savefig(os.path.join(save_path,"totE_ex01c.png"))
134 pl.clf()
135
136 ###########################################################MAKE A MOVIE
137 # compile the *.png files to create a*.avi video that show T change
138 # with time. This opperation uses linux mencoder. For other operating
139 # systems it may be possible to use your favourite video compiler to
140 # convert image files to videos. To enable this step uncomment the
141 # following lines.
142
143 #os.system("mencoder mf://"+save_path+"/tempT"+"/*.png -mf type=png:\
144 #w=800:h=600:fps=25 -ovc lavc -lavcopts vcodec=mpeg4 -oac copy -o \
145 #example01tempT.avi")

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