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# $Id$ |
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|
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__copyright__=""" Copyright (c) 2006 by ACcESS MNRF |
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http://www.access.edu.au |
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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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|
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from esys.escript import * |
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from esys.escript.modelframe import Model,IterationDivergenceError |
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from esys.escript.linearPDEs import AdvectivePDE,LinearPDE |
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import numarray |
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|
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|
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class TemperatureAdvection(Model): |
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""" |
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|
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The conservation of internal heat energy is given by |
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|
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M{S{rho} c_p ( dT/dt+v[j]*grad(T)[j])-grad(\kappa grad(T)_{,i}=Q} |
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|
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M{n_i\kappa T_{,i}=0} |
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|
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it is assummed that M{\rho c_p} is constant in time. |
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|
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solved by Taylor Galerkin method |
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|
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""" |
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def __init__(self,debug=False): |
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Model.__init__(self,debug=debug) |
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self.declareParameter(domain=None, \ |
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temperature=1., \ |
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velocity=numarray.zeros([3]), |
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density=1., \ |
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heat_capacity=1., \ |
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thermal_permabilty=1., \ |
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# reference_temperature=0., \ |
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# radiation_coefficient=0., \ |
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thermal_source=0., \ |
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fixed_temperature=0., |
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location_fixed_temperature=Data(), |
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safety_factor=0.1) |
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|
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def doInitialization(self): |
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self.__pde=LinearPDE(self.domain) |
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self.__pde.setSymmetryOn() |
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self.__pde.setReducedOrderOn() |
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self.__pde.setSolverMethod(self.__pde.LUMPING) |
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self.__pde.setValue(D=self.heat_capacity*self.density) |
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|
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def getSafeTimeStepSize(self,dt): |
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""" |
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returns new step size |
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""" |
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h=self.domain.getSize() |
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return self.safety_factor*inf(h**2/(h*abs(self.heat_capacity*self.density)*length(self.velocity)+self.thermal_permabilty)) |
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|
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def G(self,T,alpha): |
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""" |
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tangential operator for taylor galerikin |
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""" |
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g=grad(T) |
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self.__pde.setValue(X=-self.thermal_permabilty*g, \ |
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Y=self.thermal_source-self.__rhocp*inner(self.velocity,g), \ |
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r=(self.__fixed_T-self.temperature)*alpha,\ |
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q=self.location_fixed_temperature) |
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return self.__pde.getSolution() |
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|
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|
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def doStepPostprocessing(self,dt): |
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""" |
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perform taylor galerkin step |
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""" |
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T=self.temperature |
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self.__rhocp=self.heat_capacity*self.density |
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self.__fixed_T=self.fixed_temperature |
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self.temperature=dt*self.G(dt/2*self.G(T,1./dt)+T,1./dt)+T |
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self.trace("Temperature range is %e %e"%(inf(self.temperature),sup(self.temperature))) |
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