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

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Revision 4154 - (show annotations)
Tue Jan 22 09:30:23 2013 UTC (6 years, 8 months ago) by jfenwick
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Round 1 of copyright fixes
1
2 ##############################################################################
3 #
4 # Copyright (c) 2009-2013 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 since 2012 by School of Earth Sciences
13 #
14 ##############################################################################
15
16 __copyright__="""Copyright (c) 2009-2013 by University of Queensland
17 http://www.uq.edu.au
18 Primary Business: Queensland, Australia"""
19 __license__="""Licensed under the Open Software License version 3.0
20 http://www.opensource.org/licenses/osl-3.0.php"""
21 __url__="https://launchpad.net/escript-finley"
22
23 """
24 Author: Antony Hallam antony.hallam@uqconnect.edu.au
25 """
26
27 ############################################################FILE HEADER
28 # example01c.py
29 # Model temperature diffusion between two granite blocks of unequal
30 # initial temperature. Solve for the spatial distribution of temperature.
31
32 # To solve the problem it is necessary to import the modules we require.
33 #For interactive use, you can comment out the next two lines
34 import matplotlib
35 matplotlib.use('agg') #It's just here for automated testing
36 from esys.escript import * # This imports everything from the escript library
37 from esys.escript.unitsSI import *
38 from esys.escript.linearPDEs import LinearPDE # This defines LinearPDE as LinearPDE
39 from esys.finley import Rectangle # This imports the rectangle domain function
40 import pylab as pl #Plotting package.
41 import numpy as np #Array package.
42 import os, sys #This package is necessary to handle saving our data.
43
44 ########################################################MPI WORLD CHECK
45 if getMPISizeWorld() > 1:
46 import sys
47 print("This example will not run in an MPI world.")
48 sys.exit(0)
49
50 #################################################ESTABLISHING VARIABLES
51 #Domain related.
52 mx = 500*m #meters - model length
53 my = 100*m #meters - model width
54 ndx = 100 # mesh steps in x direction
55 ndy = 1 # mesh steps in y direction - one dimension means one element
56 boundloc = mx/2 # location of boundary between the two blocks
57 #PDE related
58 rho = 2750. *kg/m**3 #kg/m{3} density of iron
59 cp = 790.*J/(kg*K) # J/Kg.K thermal capacity
60 rhocp = rho*cp
61 kappa = 2.2*W/m/K # watts/m.Kthermal conductivity
62 qH=0 * J/(sec*m**3) # J/(sec.m{3}) no heat source
63 T1=20 * Celsius # initial temperature at Block 1
64 T2=2273. * Celsius # base temperature at Block 2
65
66 ################################################ESTABLISHING PARAMETERS
67 t=0 * day # our start time, usually zero
68 tend=50 * yr # - time to end simulation
69 outputs = 200 # number of time steps required.
70 h=(tend-t)/outputs #size of time step
71 #user warning statement
72 print("Expected Number of time outputs is: ", (tend-t)/h)
73 i=0 #loop counter
74 #the folder to put our outputs in, leave blank "" for script path
75 save_path= os.path.join("data","example01")
76 #ensure the dir exists
77 mkDir(save_path, os.path.join(save_path,"tempT"))
78
79 ####################################################DOMAIN CONSTRUCTION
80 blocks = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy)
81
82 ###############################################ESCRIPT PDE CONSTRUCTION
83 #... open PDE and set coefficients ...
84 mypde=LinearPDE(blocks)
85 mypde.setSymmetryOn()
86 A=zeros((2,2))
87 A[0,0]=kappa
88 mypde.setValue(A=A,D=rhocp/h)
89 # ... set initial temperature ....
90 x=Solution(blocks).getX()
91 T= T1*whereNegative(x[0]-boundloc)+T2*(1-whereNegative(x[0]-boundloc))
92
93 # ... open a collector for the time marks and corresponding total energy
94 t_list=[]
95 E_list=[]
96 # ... convert solution points for plotting
97 plx = x.toListOfTuples()
98 plx = np.array(plx) #convert to tuple to numpy array
99 plx = plx[:,0] #extract x locations
100 ########################################################START ITERATION
101 while t<tend:
102 i+=1
103 t+=h
104 mypde.setValue(Y=qH+rhocp/h*T)
105 T=mypde.getSolution()
106 totE=integrate(rhocp*T)
107 print("time step %s at t=%e days completed. total energy = %e."%(i,t/day,totE))
108 t_list.append(t)
109 E_list.append(totE)
110
111 #establish figure 1 for temperature vs x plots
112 tempT = T.toListOfTuples()
113 pl.figure(1) #current figure
114 pl.plot(plx,tempT) #plot solution
115 # add title
116 pl.axis([0,mx,T1*.9,T2*1.1])
117 pl.title("Temperature across blocks at time %d days"%(t/day))
118 pl.ylabel('Temperature (K)')
119 pl.xlabel("Length (m)")
120 #save figure to file
121 pl.savefig(os.path.join(save_path,"tempT", "blockspyplot%03d.png"%i))
122 pl.clf() #clear figure
123
124 ###############################################################PLOTTING
125 # plot the total energy over time:
126 pl.figure(2)
127 pl.plot(t_list,E_list)
128 pl.title("Total Energy")
129 pl.axis([0,max(t_list),0,max(E_list)*1.1])
130 pl.ylabel('Energy (W)')
131 pl.xlabel('Time (s)')
132 pl.savefig(os.path.join(save_path,"totE_ex01c.png"))
133 pl.clf()
134
135 ###########################################################MAKE A MOVIE
136 # compile the *.png files to create a*.avi video that show T change
137 # with time. This opperation uses linux mencoder. For other operating
138 # systems it may be possible to use your favourite video compiler to
139 # convert image files to videos. To enable this step uncomment the
140 # following lines.
141
142 #os.system("mencoder mf://"+save_path+"/tempT"+"/*.png -mf type=png:\
143 #w=800:h=600:fps=25 -ovc lavc -lavcopts vcodec=mpeg4 -oac copy -o \
144 #example01tempT.avi")

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