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

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Thu Jan 28 02:03:15 2010 UTC (9 years, 4 months ago) by jfenwick
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1
2 ########################################################
3 #
4 # Copyright (c) 2009-2010 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) 2009-2010 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
26 # To solve the problem it is necessary to import the modules we require.
27 from esys.escript import * # This imports everything from the escript library
28 from esys.escript.linearPDEs import LinearPDE # This defines LinearPDE as LinearPDE
29 from esys.finley import Rectangle # This imports the rectangle domain function from finley
30 import os #This package is necessary to handle saving our data.
31
32 from cblib1 import needdirs
33
34
35 ##ESTABLISHING VARIABLES
36 #PDE related
37 mx = 600 # model lenght
38 my = 600 # model width
39 ndx = 100 # steps in x direction
40 ndy = 100 # steps in y direction
41 r = 200 # radius of intrusion
42 ic = [300, 0] #centre of intrusion
43
44 q=0 #our heat source temperature is now zero
45 Ti=2273 # Kelvin #the starting temperature of our iron bar
46 rhoi = 2750 #kg/m^{3} density
47 cpi = 790 #j/kg specific heat
48 rhocpi = rhoi*cpi #DENSITY * SPECIFIC HEAT
49 eta=0. # RADIATION CONDITION
50 kappai=2.2 # Watts/(meter*Kelvin) DIFFUSION CONSTANT, HEAT PERMEABILITY
51
52 Tc = 200
53 rhoc = 2200
54 cpc = 400
55 rhocpc = rhoc*cpc
56 kappac = 0.1
57
58
59 #Script/Iteration Related
60 t=0. #our start time, usually zero
61 tday=100*365. #the time we want to end the simulation in days
62 tend=tday*24*60*60
63 outputs = 200 # number of time steps required.
64 h=(tend-t)/outputs #size of time step
65
66 print "Expected Number of Output Files is: ", outputs
67 print "Step size is: ", h/(24.*60*60), "days"
68
69
70 i=0 #loop counter
71 save_path = "data/twodheatdiff" #the folder to put our outputs in, leave blank "" for script path - note this folder path must exist to work
72 needdirs([save_path])
73
74 #... generate domain ...
75 model = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy)
76 # extract finite points
77 x=model.getX()
78
79 #... open PDE ...
80 mypde=LinearPDE(model)
81 mypde.setSymmetryOn()
82
83 bound = length(x-ic)-r #where the boundary will be located
84
85 A = (kappai)*whereNegative(bound)+(kappac)*wherePositive(bound)
86 D = (rhocpi/h)*whereNegative(bound)+(rhocpc/h)*wherePositive(bound)
87
88 mypde.setValue(A=A*kronecker(model),D=D,d=eta,y=eta*Tc)
89
90 # ... set initial temperature ....
91
92 T= Ti*whereNegative(bound)+Tc*wherePositive(bound) #defining the initial temperatures.
93 saveVTK(os.path.join(save_path,"dataedge.vtu"), sol=bound)
94 saveVTK(os.path.join(save_path,"data%03d.vtu") %i,sol=T)
95
96 #... start iteration:
97 while t<=tend:
98 i+=1
99 t+=h
100 Y = T*D
101 mypde.setValue(Y=Y)
102 T=mypde.getSolution()
103 saveVTK(os.path.join(save_path,"data%03d.vtu") %i,sol=T)

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