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######################################################## |
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# |
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# Copyright (c) 2003-2009 by University of Queensland |
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# Earth Systems Science Computational Center (ESSCC) |
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# http://www.uq.edu.au/esscc |
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# |
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# Primary Business: Queensland, Australia |
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# Licensed under the Open Software License version 3.0 |
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# http://www.opensource.org/licenses/osl-3.0.php |
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# |
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######################################################## |
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__copyright__="""Copyright (c) 2003-2009 by University of Queensland |
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Earth Systems Science Computational Center (ESSCC) |
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http://www.uq.edu.au/esscc |
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Primary Business: Queensland, Australia""" |
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__license__="""Licensed under the Open Software License version 3.0 |
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http://www.opensource.org/licenses/osl-3.0.php""" |
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__url__="https://launchpad.net/escript-finley" |
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|
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""" |
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Author: Antony Hallam antony.hallam@uqconnect.edu.au |
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""" |
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# To solve the problem it is necessary to import the modules we require. |
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from esys.escript import * # This imports everything from the escript library |
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from esys.escript.linearPDEs import LinearPDE # This defines LinearPDE as LinearPDE |
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from esys.finley import Rectangle # This imports the rectangle domain function from finley |
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from esys.escript.unitsSI import * # A useful unit handling package which will make sure all our units match up in the equations. |
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import os #This package is necessary to handle saving our data. |
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#plotting tools |
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#import matplotlib as ptool |
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##ESTABLISHING VARIABLES |
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#Domain related. |
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mx = 1*m #meters - model lenght |
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my = .1*m #meters - model width |
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ndx = 100 # steps in x direction |
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ndy = 1 # steps in y direction |
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#PDE related |
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q=200. * Celsius #Kelvin - our heat source temperature |
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Tref = 0. * Celsius # Kelvin - starting temp of iron bar |
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rho = 7874. *kg/m**3 #kg/m^{3} density of iron |
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cp = 449.*J/(kg*K) #j/Kg.K thermal capacity |
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rhocp = rho*cp |
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kappa = 80.*W/m/K #watts/m.Kthermal conductivity |
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#Script/Iteration Related |
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t=0 #our start time, usually zero |
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tend=5.*minute #seconds - time to end simulation |
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outputs = 200 # number of time steps required. |
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h=(tend-t)/outputs #size of time step |
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print "Expected Number of time outputs is: ", (tend-t)/h |
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i=0 #loop counter |
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#the folder to put our outputs in, leave blank "" for script path |
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save_path="data/onedheatdiff001" |
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#note this folder path must exist to work |
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#... generate domain ... |
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rod = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy) |
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# extract finite points |
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x=rod.getX() |
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#... open PDE ... |
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mypde=LinearPDE(rod) |
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mypde.setSymmetryOn() |
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mypde.setValue(A=kappa*kronecker(rod),D=rhocp/h) |
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# ... set heat source: .... |
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qH=q*whereZero(x[0]) |
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# ... set initial temperature .... |
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T=Tref |
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# ... start iteration: |
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while t<=tend: |
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i+=1 |
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t+=h |
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mypde.setValue(Y=qH+rhocp/h*T) |
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T=mypde.getSolution() |
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#ptool.plot(T) |
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saveVTK(os.path.join(save_path,"data%03d.xml") %i,sol=T) |
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