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

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Revision 3892 - (hide annotations)
Tue Apr 10 08:57:23 2012 UTC (6 years, 10 months ago) by jfenwick
File MIME type: text/x-python
File size: 4201 byte(s)
Merged changes across from the attempt2 branch.
This version builds and passes python2 tests.
It also passes most python3 tests.



1 ahallam 2401
2     ########################################################
3     #
4 gross 2904 # Copyright (c) 2009 by University of Queensland
5 ahallam 2401 # 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 gross 2904 __copyright__="""Copyright (c) 2009 by University of Queensland
15 ahallam 2401 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 2977 ############################################################FILE HEADER
26     # example01b.py
27     # Model temperature diffusion between two granite blocks of unequal
28     # initial temperature. Solve for total energy in the system. Use
29     # matplotlib to visualise the answer.
30 ahallam 2401
31 ahallam 2977 #######################################################EXTERNAL MODULES
32 gross 2904 # To solve the problem it is necessary to import the modules we require.
33     from esys.escript import * # This imports everything from the escript library
34 ahallam 2606 from esys.escript.unitsSI import *
35 gross 2904 from esys.escript.linearPDEs import LinearPDE # This defines LinearPDE as LinearPDE
36 jfenwick 3259 from esys.finley import Rectangle # This imports the rectangle domain function
37 ahallam 2658 #For interactive use, you can comment out the next two lines
38     import matplotlib
39     matplotlib.use('agg') #It's just here for automated testing
40 ahallam 2606 import pylab as pl #Plotting package.
41     import numpy as np #Array package.
42 gross 2904 import os, sys #This package is necessary to handle saving our data.
43 ahallam 2401
44 ahallam 2977 #################################################ESTABLISHING VARIABLES
45 ahallam 2401 #Domain related.
46 gross 2904 mx = 500*m #meters - model length
47     my = 100*m #meters - model width
48 ahallam 2606 ndx = 100 # mesh steps in x direction
49     ndy = 1 # mesh steps in y direction - one dimension means one element
50 gross 2904 boundloc = mx/2 # location of boundary between the two blocks
51 ahallam 2401 #PDE related
52 ahallam 3374 rho = 2750. *kg/m**3 #kg/m{3} density of iron
53     cp = 790.*J/(kg*K) # J/Kg.K thermal capacity
54     rhocp = rho*cp
55     kappa = 2.2*W/m/K # watts/m.Kthermal conductivity
56     qH=0 * J/(sec*m**3) # J/(sec.m{3}) no heat source
57 gross 2904 T1=20 * Celsius # initial temperature at Block 1
58 ahallam 3374 T2=2273. * Celsius # base temperature at Block 2
59 ahallam 2606
60 ahallam 2977 ################################################ESTABLISHING PARAMETERS
61 gross 2904 t=0 * day # our start time, usually zero
62     tend=50 * yr # - time to end simulation
63 ahallam 2401 outputs = 200 # number of time steps required.
64     h=(tend-t)/outputs #size of time step
65 ahallam 2606 #user warning statement
66 jfenwick 3892 print("Expected Number of time outputs is: ", (tend-t)/h)
67 ahallam 2401 i=0 #loop counter
68     #the folder to put our outputs in, leave blank "" for script path
69 gross 2949 save_path= os.path.join("data","example01")
70 jfenwick 2648 #ensure the dir exists
71 gross 2904 mkDir(save_path, os.path.join(save_path,"tempT"))
72 jfenwick 2648
73 ahallam 2977 ####################################################DOMAIN CONSTRUCTION
74 gross 2904 blocks = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy)
75 ahallam 2977
76     ###############################################ESCRIPT PDE CONSTRUCTION
77 gross 2904 #... open PDE and set coefficients ...
78     mypde=LinearPDE(blocks)
79     mypde.setSymmetryOn()
80     A=zeros((2,2))
81     A[0,0]=kappa
82     mypde.setValue(A=A,D=rhocp/h)
83     # ... set initial temperature ....
84     x=Solution(blocks).getX()
85     T= T1*whereNegative(x[0]-boundloc)+T2*(1-whereNegative(x[0]-boundloc))
86 ahallam 2401
87 gross 2904 # ... open a collector for the time marks and corresponding total energy
88     t_list=[]
89     E_list=[]
90 ahallam 2977 ########################################################START ITERATION
91 gross 2904 while t<tend:
92     i+=1
93     t+=h
94     mypde.setValue(Y=qH+rhocp/h*T)
95     T=mypde.getSolution()
96     totE=integrate(rhocp*T)
97 jfenwick 3892 print("time step %s at t=%e days completed. total energy = %e."%(i,t/day,totE))
98 gross 2904 t_list.append(t)
99     E_list.append(totE)
100 ahallam 2401
101 ahallam 2977 ###############################################################PLOTTING
102 gross 2904 # plot the total energy over time:
103 gross 2950 if getMPIRankWorld() == 0:
104     pl.plot(t_list,E_list)
105     pl.title("Total Energy")
106     pl.axis([0,max(t_list),0,max(E_list)*1.1])
107 ahallam 3374 pl.ylabel('Temperature (K)')
108     pl.xlabel("Length (m)")
109     pl.savefig(os.path.join(save_path,"totE_ex01b.png"))

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