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

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Revision 3892 - (show 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
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 ############################################################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
31 #######################################################EXTERNAL MODULES
32 # 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 from esys.escript.unitsSI import *
35 from esys.escript.linearPDEs import LinearPDE # This defines LinearPDE as LinearPDE
36 from esys.finley import Rectangle # This imports the rectangle domain function
37 #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 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 #################################################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 = 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 T1=20 * Celsius # initial temperature at Block 1
58 T2=2273. * Celsius # base temperature at Block 2
59
60 ################################################ESTABLISHING PARAMETERS
61 t=0 * day # our start time, usually zero
62 tend=50 * yr # - time to end simulation
63 outputs = 200 # number of time steps required.
64 h=(tend-t)/outputs #size of time step
65 #user warning statement
66 print("Expected Number of time outputs is: ", (tend-t)/h)
67 i=0 #loop counter
68 #the folder to put our outputs in, leave blank "" for script path
69 save_path= os.path.join("data","example01")
70 #ensure the dir exists
71 mkDir(save_path, os.path.join(save_path,"tempT"))
72
73 ####################################################DOMAIN CONSTRUCTION
74 blocks = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy)
75
76 ###############################################ESCRIPT PDE CONSTRUCTION
77 #... 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
87 # ... open a collector for the time marks and corresponding total energy
88 t_list=[]
89 E_list=[]
90 ########################################################START ITERATION
91 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 print("time step %s at t=%e days completed. total energy = %e."%(i,t/day,totE))
98 t_list.append(t)
99 E_list.append(totE)
100
101 ###############################################################PLOTTING
102 # plot the total energy over time:
103 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 pl.ylabel('Temperature (K)')
108 pl.xlabel("Length (m)")
109 pl.savefig(os.path.join(save_path,"totE_ex01b.png"))

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