/[escript]/trunk/modellib/py_src/temperature.py
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Annotation of /trunk/modellib/py_src/temperature.py

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Revision 147 - (hide annotations)
Fri Aug 12 01:45:47 2005 UTC (15 years, 2 months ago) by jgs
Original Path: trunk/esys2/modellib/py_src/temperature.py
File MIME type: text/x-python
File size: 2684 byte(s)
erge of development branch dev-02 back to main trunk on 2005-08-12

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

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