/[escript]/trunk/esys2/modellib/py_src/temperature.py
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Contents of /trunk/esys2/modellib/py_src/temperature.py

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Revision 150 - (show annotations)
Thu Sep 15 03:44:45 2005 UTC (14 years, 1 month ago) by jgs
File MIME type: text/x-python
File size: 2715 byte(s)
Merge of development branch dev-02 back to main trunk on 2005-09-15

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