# Annotation of /trunk/esys2/modellib/py_src/temperature.py

Revision 150 - (hide annotations)
Thu Sep 15 03:44:45 2005 UTC (15 years, 8 months ago) by jgs
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Merge of development branch dev-02 back to main trunk on 2005-09-15


 1 jgs 127 # $Id$ 2 3 jgs 150 from esys.escript import * 4 jgs 149 from esys.escript.modelframe import Model,IterationDivergenceError 5 from esys.escript.linearPDEs import AdvectivePDE,LinearPDE 6 jgs 147 import numarray 7 jgs 127 8 9 jgs 147 class TemperatureAdvection(Model): 10 """ 11 jgs 127 12 jgs 149 The conservation of internal heat energy is given by 13 jgs 147 14 jgs 149 M{S{rho} c_p ( dT/dt+v[j]*grad(T)[j])-grad(\kappa grad(T)_{,i}=Q} 15 jgs 147 16 jgs 149 M{n_i\kappa T_{,i}=0} 17 jgs 147 18 jgs 149 it is assummed that M{\rho c_p} is constant in time. 19 jgs 147 20 jgs 149 solved by Taylor Galerkin method 21 22 jgs 147 """ 23 jgs 127 def __init__(self,debug=False): 24 Model.__init__(self,debug=debug) 25 self.declareParameter(domain=None, \ 26 temperature=1., \ 27 jgs 147 velocity=numarray.zeros([3]), 28 jgs 127 density=1., \ 29 jgs 147 heat_capacity=1., \ 30 jgs 127 thermal_permabilty=1., \ 31 jgs 147 # reference_temperature=0., \ 32 # radiation_coefficient=0., \ 33 jgs 127 thermal_source=0., \ 34 jgs 147 fixed_temperature=0., 35 location_fixed_temperature=Data(), 36 safety_factor=0.1) 37 jgs 127 38 jgs 147 def doInitialization(self): 39 self.__pde=LinearPDE(self.domain) 40 self.__pde.setSymmetryOn() 41 # self.__pde.setReducedOrderOn() 42 jgs 150 self.__pde.setSolverMethod(self.__pde.LUMPING) 43 jgs 147 self.__pde.setValue(D=self.heat_capacity*self.density) 44 jgs 127 45 def getSafeTimeStepSize(self,dt): 46 jgs 149 """ 47 returns new step size 48 """ 49 jgs 147 h=self.domain.getSize() 50 return self.safety_factor*inf(h**2/(h*abs(self.heat_capacity*self.density)*length(self.velocity)+self.thermal_permabilty)) 51 jgs 127 52 jgs 147 def G(self,T,alpha): 53 jgs 149 """ 54 tangential operator for taylor galerikin 55 """ 56 jgs 147 g=grad(T) 57 self.__pde.setValue(X=-self.thermal_permabilty*g, \ 58 Y=self.thermal_source-self.__rhocp*inner(self.velocity,g), \ 59 r=(self.__fixed_T-self.temperature)*alpha,\ 60 q=self.location_fixed_temperature) 61 return self.__pde.getSolution() 62 63 jgs 127 64 jgs 147 def doStepPostprocessing(self,dt): 65 jgs 149 """ 66 perform taylor galerkin step 67 """ 68 jgs 147 T=self.temperature 69 self.__rhocp=self.heat_capacity*self.density 70 self.__fixed_T=self.fixed_temperature 71 self.temperature=dt*self.G(dt/2*self.G(T,1./dt)+T,1./dt)+T 72 self.trace("Temperature range is %e %e"%(inf(self.temperature),sup(self.temperature)))

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