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

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Wed Apr 9 00:26:32 2014 UTC (5 years, 6 months ago) by jfenwick
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lots of future print_function
1 jfenwick 4848 from __future__ import print_function
2 jfenwick 3981 ##############################################################################
3 gross 2904 #
4 jfenwick 4657 # Copyright (c) 2009-2014 by University of Queensland
5 jfenwick 3981 # http://www.uq.edu.au
6 gross 2904 #
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 jfenwick 3981 # Development until 2012 by Earth Systems Science Computational Center (ESSCC)
12 jfenwick 4657 # Development 2012-2013 by School of Earth Sciences
13     # Development from 2014 by Centre for Geoscience Computing (GeoComp)
14 jfenwick 3981 #
15     ##############################################################################
16 gross 2904
17 jfenwick 4657 __copyright__="""Copyright (c) 2009-2014 by University of Queensland
18 jfenwick 3981 http://www.uq.edu.au
19 gross 2904 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 ahallam 2977 ############################################################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 gross 2904 # To solve the problem it is necessary to import the modules we require.
34 caltinay 4087 #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 gross 2904 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 jfenwick 3259 from esys.finley import Rectangle # This imports the rectangle domain function
41 gross 2904 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 ahallam 2977 ########################################################MPI WORLD CHECK
46 gross 2904 if getMPISizeWorld() > 1:
47     import sys
48 jfenwick 3892 print("This example will not run in an MPI world.")
49 gross 2904 sys.exit(0)
50    
51 ahallam 2977 #################################################ESTABLISHING VARIABLES
52 gross 2904 #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 ahallam 3374 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 gross 2904 T1=20 * Celsius # initial temperature at Block 1
65 ahallam 3374 T2=2273. * Celsius # base temperature at Block 2
66 gross 2904
67 ahallam 2977 ################################################ESTABLISHING PARAMETERS
68 gross 2904 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 jfenwick 3892 print("Expected Number of time outputs is: ", (tend-t)/h)
74 gross 2904 i=0 #loop counter
75     #the folder to put our outputs in, leave blank "" for script path
76 gross 2949 save_path= os.path.join("data","example01")
77 gross 2904 #ensure the dir exists
78     mkDir(save_path, os.path.join(save_path,"tempT"))
79    
80 ahallam 2977 ####################################################DOMAIN CONSTRUCTION
81 gross 2904 blocks = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy)
82 ahallam 2977
83     ###############################################ESCRIPT PDE CONSTRUCTION
84 gross 2904 #... 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 ahallam 2977 ########################################################START ITERATION
102 gross 2904 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 jfenwick 3892 print("time step %s at t=%e days completed. total energy = %e."%(i,t/day,totE))
109 gross 2904 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 ahallam 3374 pl.ylabel('Temperature (K)')
120     pl.xlabel("Length (m)")
121 gross 2904 #save figure to file
122     pl.savefig(os.path.join(save_path,"tempT", "blockspyplot%03d.png"%i))
123     pl.clf() #clear figure
124 ahallam 2977
125     ###############################################################PLOTTING
126 gross 2904 # 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 ahallam 3374 pl.ylabel('Energy (W)')
132     pl.xlabel('Time (s)')
133     pl.savefig(os.path.join(save_path,"totE_ex01c.png"))
134 gross 2904 pl.clf()
135    
136 ahallam 2977 ###########################################################MAKE A MOVIE
137 gross 2904 # 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 gross 2949 #example01tempT.avi")

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