/[escript]/trunk/doc/examples/cookbook/example01a.py
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Contents of /trunk/doc/examples/cookbook/example01a.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 from __future__ import print_function
3 ##############################################################################
4 #
5 # Copyright (c) 2009-2014 by University of Queensland
6 # http://www.uq.edu.au
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 # Development until 2012 by Earth Systems Science Computational Center (ESSCC)
13 # Development 2012-2013 by School of Earth Sciences
14 # Development from 2014 by Centre for Geoscience Computing (GeoComp)
15 #
16 ##############################################################################
17
18 __copyright__="""Copyright (c) 2009-2014 by University of Queensland
19 http://www.uq.edu.au
20 Primary Business: Queensland, Australia"""
21 __license__="""Licensed under the Open Software License version 3.0
22 http://www.opensource.org/licenses/osl-3.0.php"""
23 __url__="https://launchpad.net/escript-finley"
24
25 """
26 Author: Antony Hallam antony.hallam@uqconnect.edu.au
27 """
28 ############################################################FILE HEADER
29 # example01a.py
30 # Model temperature diffusion between two granite blocks of unequal
31 # initial temperature. Solve for total energy in the system.
32
33 #######################################################EXTERNAL MODULES
34 # To solve the problem it is necessary to import the modules we require.
35 from esys.escript import * # This imports everything from the escript library
36 from esys.escript.unitsSI import *
37 from esys.escript.linearPDEs import LinearPDE # This defines LinearPDE as LinearPDE
38 from esys.finley import Rectangle # This imports the rectangle domain function
39
40 #################################################ESTABLISHING VARIABLES
41 #Domain related.
42 mx = 500*m #meters - model length
43 my = 100*m #meters - model width
44 ndx = 100 # mesh steps in x direction
45 ndy = 1 # mesh steps in y direction - one dimension means one element
46 boundloc = mx/2 # location of boundary between the two blocks
47 #PDE related
48 rho = 2750. *kg/m**3 #kg/m{3} density of iron
49 cp = 790.*J/(kg*K) # J/Kg.K thermal capacity
50 rhocp = rho*cp
51 kappa = 2.2*W/m/K # watts/m.Kthermal conductivity
52 qH=0 * J/(sec*m**3) # J/(sec.m{3}) no heat source
53 T1=20 * Celsius # initial temperature at Block 1
54 T2=2273. * Celsius # base temperature at Block 2
55
56
57 ################################################ESTABLISHING PARAMETERS
58 t=0 * day # our start time, usually zero
59 tend=50 * yr # - time to end simulation
60 outputs = 200 # number of time steps required.
61 h=(tend-t)/outputs #size of time step
62 #user warning statement
63 print("Expected Number of time outputs is: ", (tend-t)/h)
64 i=0 #loop counter
65 #the folder to put our outputs in, leave blank "" for script path
66 save_path= os.path.join("data","example01")
67 #ensure the dir exists
68 mkDir(save_path, os.path.join(save_path,"tempT"))
69
70 ####################################################DOMAIN CONSTRUCTION
71 blocks = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy)
72
73 ###############################################ESCRIPT PDE CONSTRUCTION
74 #... open PDE and set coefficients ...
75 mypde=LinearPDE(blocks)
76 mypde.setSymmetryOn()
77 A=zeros((2,2))
78 A[0,0]=kappa
79 mypde.setValue(A=A,D=rhocp/h)
80 # ... set initial temperature ....
81 x=Solution(blocks).getX()
82 T= T1*whereNegative(x[0]-boundloc)+T2*(1-whereNegative(x[0]-boundloc))
83
84 ########################################################START ITERATION
85 while t<tend:
86 i+=1
87 t+=h
88 mypde.setValue(Y=qH+rhocp/h*T)
89 T=mypde.getSolution()
90 totE=integrate(rhocp*T)
91 print("time step %s at t=%e days completed. total energy = %e."%(i,t/day,totE))

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