/[escript]/trunk/doc/examples/cookbook/twodheatdiff001.py
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Revision 2632 - (show annotations)
Wed Aug 26 22:18:19 2009 UTC (9 years, 7 months ago) by ahallam
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Regigger of cookbook directory structure. Examlples->examples/cookbook TEXT->doc/cookbook Figures-> doc/cookbook/figures
1
2 ########################################################
3 #
4 # Copyright (c) 2003-2009 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) 2003-2009 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
26 ############################################################FILE HEADER
27 # twodheatdiff002.py
28 # Model temperature diffusion between a granite intrusion and sandstone
29 # country rock. This is a two dimensional problem with the granite as a
30 # heat source.
31
32 #######################################################EXTERNAL MODULES
33 #To solve the problem it is necessary to import the modules we require.
34 #This imports everything from the escript library
35 from esys.escript import *
36 # This defines the LinearPDE module as LinearPDE
37 from esys.escript.linearPDEs import LinearPDE
38 # This imports the rectangle domain function from finley.
39 from esys.finley import Rectangle
40 # A useful unit handling package which will make sure all our units
41 # match up in the equations under SI.
42 from esys.escript.unitsSI import *
43 import pylab as pl #Plotting package.
44 import numpy as np #Array package.
45 import os #This package is necessary to handle saving our data.
46
47 #################################################ESTABLISHING VARIABLES
48 #PDE related
49 mx = 600*m #meters - model length
50 my = 600*m #meters - model width
51 ndx = 100 #mesh steps in x direction
52 ndy = 100 #mesh steps in y direction
53 r = 200*m #meters - radius of intrusion
54 ic = [300, 0] #centre of intrusion (meters)
55 q=0.*Celsius #our heat source temperature is now zero
56
57 ## Intrusion Variables - Granite
58 Ti=2273.*Celsius # Kelvin -the starting temperature of our RHS Block
59 rhoi = 2750*kg/m**3 #kg/m^{3} density of granite
60 cpi = 790.*J/(kg*K) #j/Kg.K thermal capacity
61 rhocpi = rhoi*cpi #DENSITY * SPECIFIC HEAT
62 eta=0. # RADIATION CONDITION
63 kappai=2.2*W/m/K #watts/m.K thermal conductivity
64 ## Country Rock Variables - Sandstone
65 Tc = 473*Celsius # Kelvin #the starting temperature of our country rock
66 rhoc = 2000*kg/m**3 #kg/m^{3} density
67 cpc = 920.*J/(kg*K) #j/kg.k specific heat
68 rhocpc = rhoc*cpc #DENSITY * SPECIFIC HEAT
69 kappac = 1.9*W/m/K #watts/m.K thermal conductivity
70
71 #Script/Iteration Related
72 t=0. #our start time, usually zero
73 tday=100*365. #the time we want to end the simulation in days
74 tend=tday*24*60*60
75 outputs = 200 # number of time steps required.
76 h=(tend-t)/outputs #size of time step
77 #user warning
78 print "Expected Number of Output Files is: ", outputs
79 print "Step size is: ", h/(24.*60*60), "days"
80 i=0 #loop counter
81 #the folder to put our outputs in, leave blank "" for script path
82 save_path="data/twodheatdiff"
83 ########## note this folder path must exist to work ###################
84
85 ################################################ESTABLISHING PARAMETERS
86 #generate domain using rectangle
87 model = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy)
88 #extract finite points - the solution points
89 x=model.getX()
90 #create the PDE
91 mypde=LinearPDE(model) #assigns a domain to our PDE
92 mypde.setSymmetryOn() #set the fast solver on for symmetry
93 #establish location of boundary between two materials
94 bound = length(x-ic)-r #where the boundary will be located
95 A = (kappai)*whereNegative(bound)+(kappac)*wherePositive(bound)
96 D = (rhocpi/h)*whereNegative(bound)+(rhocpc/h)*wherePositive(bound)
97 #define our PDE coeffs
98 mypde.setValue(A=A*kronecker(model),D=D,d=eta,y=eta*Tc)
99 #set initial temperature
100 T= Ti*whereNegative(bound)+Tc*wherePositive(bound)
101
102 # rearrage mymesh to suit solution function space for contouring
103 oldspacecoords=model.getX()
104 coords=Data(oldspacecoords, T.getFunctionSpace())
105 coords = np.array(coords.toListOfTuples())
106 coordX = coords[:,0]
107 coordY = coords[:,1]
108 # create regular grid
109 xi = np.linspace(0.0,600.0,100)
110 yi = np.linspace(0.0,600.0,100)
111
112 #... start iteration:
113 while t<=tend:
114 i+=1
115 t+=h
116 Y = T*D
117 mypde.setValue(Y=Y)
118 T=mypde.getSolution()
119 tempT = T.toListOfTuples(scalarastuple=False)
120 # grid the data.
121 zi = pl.matplotlib.mlab.griddata(coordX,coordY,tempT,xi,yi)
122 # contour the gridded data, plotting dots at the randomly spaced data points.
123 pl.matplotlib.pyplot.autumn()
124 pl.contourf(xi,yi,zi,10)
125 CS = pl.contour(xi,yi,zi,5,linewidths=0.5,colors='k')
126 pl.clabel(CS, inline=1, fontsize=8)
127 pl.axis([0,600,0,600])
128 pl.title("Heat diffusion from an intrusion.")
129 pl.xlabel("Horizontal Displacement (m)")
130 pl.ylabel("Depth (m)")
131 pl.savefig(os.path.join(save_path,"heatrefraction%03d.png") %i)
132 pl.clf()
133 # saveVTK(os.path.join(save_path,"data%03d.vtu") %i,sol=T)
134
135 # compile the *.png files to create an *.avi video that shows T change
136 # with time. This opperation uses linux mencoder.
137 os.system("mencoder mf://"+save_path+"/*.png -mf type=png:\
138 w=800:h=600:fps=25 -ovc lavc -lavcopts vcodec=mpeg4 -oac copy -o \
139 twodheatdiff001tempT.avi")

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