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######################################################## |
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# |
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# Copyright (c) 2003-2008 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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|
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__copyright__="""Copyright (c) 2003-2008 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__="http://www.uq.edu.au/esscc/escript-finley" |
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|
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""" |
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Some models for heat advection-diffusion |
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|
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@var __author__: name of author |
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@var __copyright__: copyrights |
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@var __license__: licence agreement |
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@var __url__: url entry point on documentation |
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@var __version__: version |
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@var __date__: date of the version |
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""" |
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|
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__author__="Lutz Gross, l.gross@uq.edu.au" |
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|
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# from escript import * |
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import util |
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from linearPDEs import TransportPDE |
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|
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class TemperatureCartesian(TransportPDE): |
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""" |
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solves |
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|
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rhocp(T_{,t} + v_i T_{,i} - ( k T_{,i})_i = Q |
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|
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k T_{,i}*n_i=surface_flux |
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|
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T_{,t} = 0 where given_T_mask>0 |
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|
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if surface_flux is not give 0 is assumed. |
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|
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typical usage: |
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|
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sp=TemperatureCartesian(domain) |
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sp.setTolerance(1.e-4) |
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t=0 |
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T=... |
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sp.setValues(rhocp = .., v=.., k=.., given_T_mask=..) |
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sp.setInitialTemperature(T) |
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while t < t_end: |
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sp.setValue(Q= ...) |
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T=sp.getTemperature(dt) |
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t+=dt |
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""" |
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def __init__(self,domain,theta=0.5,**kwargs): |
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""" |
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initializes tmperature advection-diffuision problem |
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|
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@param domain: domain of the problem |
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@param theta: method control: theta=1. backward Euler |
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theta=0.5: Crank-Nicholson scheme |
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thete=0.: forward Euler (not recommendable) |
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""" |
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TransportPDE.__init__(self,domain,numEquations=1,theta=theta,**kwargs) |
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self.setReducedOrderOn() |
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self.__rhocp=None |
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self.__v=None |
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def setInitialTemperature(self,T): |
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self.setInitialSolution(T) |
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def setValue(self,rhocp=None,v=None,k=None,Q=None,surface_flux=None,given_T_mask=None): |
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if rhocp!=None: |
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self.__rhocp=rhocp |
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if v!=None: |
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self.__v=v |
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if rhocp!=None: |
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super(TemperatureCartesian,self).setValue(M=self.__rhocp) |
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if (rhocp!=None or v!=None) and self.__rhocp!=None and self.__v!=None: |
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super(TemperatureCartesian,self).setValue(C=-self.__rhocp*self.__v) |
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if k!=None: |
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super(TemperatureCartesian,self).setValue(A=-k*util.kronecker(self.getDomain())) |
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if Q!=None: |
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super(TemperatureCartesian,self).setValue(Y=Q) |
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if surface_flux!=None: |
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super(TemperatureCartesian,self).setValue(y=surface_flux) |
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if given_T_mask!=None: |
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super(TemperatureCartesian,self).setValue(q=given_T_mask) |
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|
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def getTemperature(self,dt,**kwargs): |
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return self.getSolution(dt,**kwargs) |
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