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

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Revision 628 - (hide annotations)
Thu Mar 23 02:27:57 2006 UTC (14 years, 4 months ago) by elspeth
File MIME type: text/x-python
File size: 3002 byte(s)
Copyright information added.

1 jgs 127 # $Id$
2    
3 elspeth 628 __copyright__=""" Copyright (c) 2006 by ACcESS MNRF
4     http://www.access.edu.au
5     Primary Business: Queensland, Australia"""
6     __license__="""Licensed under the Open Software License version 3.0
7     http://www.opensource.org/licenses/osl-3.0.php"""
8    
9 jgs 150 from esys.escript import *
10 jgs 149 from esys.escript.modelframe import Model,IterationDivergenceError
11     from esys.escript.linearPDEs import AdvectivePDE,LinearPDE
12 jgs 147 import numarray
13 jgs 127
14    
15 jgs 147 class TemperatureAdvection(Model):
16     """
17 jgs 127
18 jgs 149 The conservation of internal heat energy is given by
19 jgs 147
20 jgs 149 M{S{rho} c_p ( dT/dt+v[j]*grad(T)[j])-grad(\kappa grad(T)_{,i}=Q}
21 jgs 147
22 jgs 149 M{n_i\kappa T_{,i}=0}
23 jgs 147
24 jgs 149 it is assummed that M{\rho c_p} is constant in time.
25 jgs 147
26 jgs 149 solved by Taylor Galerkin method
27    
28 jgs 147 """
29 jgs 127 def __init__(self,debug=False):
30     Model.__init__(self,debug=debug)
31     self.declareParameter(domain=None, \
32     temperature=1., \
33 jgs 147 velocity=numarray.zeros([3]),
34 jgs 127 density=1., \
35 jgs 147 heat_capacity=1., \
36 jgs 127 thermal_permabilty=1., \
37 jgs 147 # reference_temperature=0., \
38     # radiation_coefficient=0., \
39 jgs 127 thermal_source=0., \
40 jgs 147 fixed_temperature=0.,
41     location_fixed_temperature=Data(),
42     safety_factor=0.1)
43 jgs 127
44 jgs 147 def doInitialization(self):
45     self.__pde=LinearPDE(self.domain)
46     self.__pde.setSymmetryOn()
47 jgs 151 self.__pde.setReducedOrderOn()
48 jgs 150 self.__pde.setSolverMethod(self.__pde.LUMPING)
49 jgs 147 self.__pde.setValue(D=self.heat_capacity*self.density)
50 jgs 127
51     def getSafeTimeStepSize(self,dt):
52 jgs 149 """
53     returns new step size
54     """
55 jgs 147 h=self.domain.getSize()
56     return self.safety_factor*inf(h**2/(h*abs(self.heat_capacity*self.density)*length(self.velocity)+self.thermal_permabilty))
57 jgs 127
58 jgs 147 def G(self,T,alpha):
59 jgs 149 """
60     tangential operator for taylor galerikin
61     """
62 jgs 147 g=grad(T)
63     self.__pde.setValue(X=-self.thermal_permabilty*g, \
64     Y=self.thermal_source-self.__rhocp*inner(self.velocity,g), \
65     r=(self.__fixed_T-self.temperature)*alpha,\
66     q=self.location_fixed_temperature)
67     return self.__pde.getSolution()
68    
69 jgs 127
70 jgs 147 def doStepPostprocessing(self,dt):
71 jgs 149 """
72     perform taylor galerkin step
73     """
74 jgs 147 T=self.temperature
75     self.__rhocp=self.heat_capacity*self.density
76     self.__fixed_T=self.fixed_temperature
77     self.temperature=dt*self.G(dt/2*self.G(T,1./dt)+T,1./dt)+T
78     self.trace("Temperature range is %e %e"%(inf(self.temperature),sup(self.temperature)))

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