/[escript]/branches/symbolic_from_3470/escript/py_src/linearPDEs.py
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revision 146 by jgs, Mon Jul 25 05:28:20 2005 UTC revision 147 by jgs, Fri Aug 12 01:45:47 2005 UTC
# Line 201  class LinearPDE: Line 201  class LinearPDE:
201       @param args:       @param args:
202       """       """
203       # COEFFICIENTS can be overwritten by subclasses:       # COEFFICIENTS can be overwritten by subclasses:
204       self.COEFFICIENTS={       self.__COEFFICIENTS={
205         "A"         : PDECoefficient(PDECoefficient.INTERIOR,(PDECoefficient.EQUATION,PDECoefficient.DIM,PDECoefficient.SOLUTION,PDECoefficient.DIM),PDECoefficient.OPERATOR),         "A"         : PDECoefficient(PDECoefficient.INTERIOR,(PDECoefficient.EQUATION,PDECoefficient.DIM,PDECoefficient.SOLUTION,PDECoefficient.DIM),PDECoefficient.OPERATOR),
206         "B"         : PDECoefficient(PDECoefficient.INTERIOR,(PDECoefficient.EQUATION,PDECoefficient.DIM,PDECoefficient.SOLUTION),PDECoefficient.OPERATOR),         "B"         : PDECoefficient(PDECoefficient.INTERIOR,(PDECoefficient.EQUATION,PDECoefficient.DIM,PDECoefficient.SOLUTION),PDECoefficient.OPERATOR),
207         "C"         : PDECoefficient(PDECoefficient.INTERIOR,(PDECoefficient.EQUATION,PDECoefficient.SOLUTION,PDECoefficient.DIM),PDECoefficient.OPERATOR),         "C"         : PDECoefficient(PDECoefficient.INTERIOR,(PDECoefficient.EQUATION,PDECoefficient.SOLUTION,PDECoefficient.DIM),PDECoefficient.OPERATOR),
# Line 215  class LinearPDE: Line 215  class LinearPDE:
215         "r"         : PDECoefficient(PDECoefficient.CONTINUOUS,(PDECoefficient.EQUATION,),PDECoefficient.RIGHTHANDSIDE),         "r"         : PDECoefficient(PDECoefficient.CONTINUOUS,(PDECoefficient.EQUATION,),PDECoefficient.RIGHTHANDSIDE),
216         "q"         : PDECoefficient(PDECoefficient.CONTINUOUS,(PDECoefficient.SOLUTION,),PDECoefficient.BOTH)}         "q"         : PDECoefficient(PDECoefficient.CONTINUOUS,(PDECoefficient.SOLUTION,),PDECoefficient.BOTH)}
217    
218         self.COEFFICIENTS=self.__COEFFICIENTS
219       # initialize attributes       # initialize attributes
220       self.__debug=None       self.__debug=None
221       self.__domain=domain       self.__domain=domain
# Line 276  class LinearPDE: Line 277  class LinearPDE:
277        """        """
278        return self.COEFFICIENTS.has_key(name)        return self.COEFFICIENTS.has_key(name)
279    
280       def hasPDECoefficient(self,name):
281          """
282          return true if name is the name of a coefficient
283    
284          @param name:
285          """
286          return self.__COEFFICIENTS.has_key(name)
287    
288     def getFunctionSpaceForEquation(self):     def getFunctionSpaceForEquation(self):
289       """       """
290       return true if the test functions should use reduced order       return true if the test functions should use reduced order
# Line 310  class LinearPDE: Line 319  class LinearPDE:
319       """       """
320       return escript.Data(0,self.getShapeOfCoefficient(name),self.getFunctionSpaceForCoefficient(name))       return escript.Data(0,self.getShapeOfCoefficient(name),self.getFunctionSpaceForCoefficient(name))
321                
322       def createNewCoefficientOfPDE(self,name):
323         """
324         returns a new coefficient appropriate for coefficient name:
325         """
326         return escript.Data(0,self.getShapeOfCoefficientOfPDE(name),self.getFunctionSpaceForCoefficientOfPDE(name))
327          
328       def getShapeOfCoefficientOfPDE(self,name):
329         """
330         return the shape of the coefficient name
331    
332         @param name:
333         """
334         if self.hasPDECoefficient(name):
335            return self.__COEFFICIENTS[name].buildShape(self.getNumEquations(),self.getNumSolutions(),self.getDomain().getDim())
336         else:
337            raise ValueError,"Unknown coefficient %s requested"%name
338    
339       def getFunctionSpaceForCoefficientOfPDE(self,name):
340         """
341         return the atoms of the coefficient name
342    
343         @param name:
344         """
345         if self.hasPDECoefficient(name):
346            return self.__COEFFICIENTS[name].getFunctionSpace(self.getDomain())
347         else:
348            raise ValueError,"unknown coefficient %s requested"%name
349    
350     def getShapeOfCoefficient(self,name):     def getShapeOfCoefficient(self,name):
351       """       """
# Line 320  class LinearPDE: Line 356  class LinearPDE:
356       if self.hasCoefficient(name):       if self.hasCoefficient(name):
357          return self.COEFFICIENTS[name].buildShape(self.getNumEquations(),self.getNumSolutions(),self.getDomain().getDim())          return self.COEFFICIENTS[name].buildShape(self.getNumEquations(),self.getNumSolutions(),self.getDomain().getDim())
358       else:       else:
359          raise ValueError,"Solution coefficient %s requested"%name          raise ValueError,"Unknown coefficient %s requested"%name
360    
361     def getFunctionSpaceForCoefficient(self,name):     def getFunctionSpaceForCoefficient(self,name):
362       """       """
# Line 331  class LinearPDE: Line 367  class LinearPDE:
367       if self.hasCoefficient(name):       if self.hasCoefficient(name):
368          return self.COEFFICIENTS[name].getFunctionSpace(self.getDomain())          return self.COEFFICIENTS[name].getFunctionSpace(self.getDomain())
369       else:       else:
370          raise ValueError,"Solution coefficient %s requested"%name          raise ValueError,"unknown coefficient %s requested"%name
371    
372     def alteredCoefficient(self,name):     def alteredCoefficient(self,name):
373       """       """
# Line 1311  class LameEquation(LinearPDE): Line 1347  class LameEquation(LinearPDE):
1347    
1348     class to define a linear PDE of the form     class to define a linear PDE of the form
1349     \f[     \f[
1350     -(\lambda (u_{i,j}+u_{j,i}))_{,j} - \mu u_{j,ji}} = F_i -\sigma_{ij,j}     -(\mu (u_{i,j}+u_{j,i}))_{,j} - \lambda u_{j,ji}} = F_i -\sigma_{ij,j}
1351     \f]     \f]
1352    
1353     with boundary conditons:     with boundary conditons:
1354    
1355     \f[     \f[
1356     n_j(\lambda(u_{i,j}+u_{j,i})-sigma_{ij}) + n_i\mu u_{j,j} = f_i     n_j(\mu (u_{i,j}+u_{j,i})-sigma_{ij}) + n_i\lambda u_{j,j} = f_i
1357     \f]     \f]
1358    
1359     and constraints:     and constraints:
# Line 1332  class LameEquation(LinearPDE): Line 1368  class LameEquation(LinearPDE):
1368         self.COEFFICIENTS={         self.COEFFICIENTS={
1369         "lame_lambda"  : PDECoefficient(PDECoefficient.INTERIOR,(),PDECoefficient.OPERATOR),         "lame_lambda"  : PDECoefficient(PDECoefficient.INTERIOR,(),PDECoefficient.OPERATOR),
1370         "lame_mu"      : PDECoefficient(PDECoefficient.INTERIOR,(),PDECoefficient.OPERATOR),         "lame_mu"      : PDECoefficient(PDECoefficient.INTERIOR,(),PDECoefficient.OPERATOR),
1371         "F"            : PDECoefficient(PDECoefficient.INTERIOR,(PDECoefficient.EQUATION,PDECoefficient.DIM),PDECoefficient.RIGHTHANDSIDE),         "F"            : PDECoefficient(PDECoefficient.INTERIOR,(PDECoefficient.EQUATION,),PDECoefficient.RIGHTHANDSIDE),
1372         "sigma"        : PDECoefficient(PDECoefficient.INTERIOR,(PDECoefficient.EQUATION,PDECoefficient.EQUATION),PDECoefficient.RIGHTHANDSIDE),         "sigma"        : PDECoefficient(PDECoefficient.INTERIOR,(PDECoefficient.EQUATION,PDECoefficient.DIM),PDECoefficient.RIGHTHANDSIDE),
1373         "f"            : PDECoefficient(PDECoefficient.BOUNDARY,(PDECoefficient.EQUATION,),PDECoefficient.RIGHTHANDSIDE),         "f"            : PDECoefficient(PDECoefficient.BOUNDARY,(PDECoefficient.EQUATION,),PDECoefficient.RIGHTHANDSIDE),
1374         "r"            : PDECoefficient(PDECoefficient.CONTINUOUS,(PDECoefficient.EQUATION,),PDECoefficient.BOTH),         "r"            : PDECoefficient(PDECoefficient.CONTINUOUS,(PDECoefficient.EQUATION,),PDECoefficient.BOTH),
1375         "q"            : PDECoefficient(PDECoefficient.CONTINUOUS,(PDECoefficient.EQUATION,),PDECoefficient.BOTH)}         "q"            : PDECoefficient(PDECoefficient.CONTINUOUS,(PDECoefficient.EQUATION,),PDECoefficient.BOTH)}
# Line 1355  class LameEquation(LinearPDE): Line 1391  class LameEquation(LinearPDE):
1391       @param name:       @param name:
1392       """       """
1393       if name == "A" :       if name == "A" :
1394           A =self.createNewCoefficient("A")           out =self.createNewCoefficientOfPDE("A")
1395           for i in range(self.getDim()):           for i in range(self.getDim()):
1396             for j in range(self.getDim()):             for j in range(self.getDim()):
1397               out[i,i,j,j] += self.getCoefficient("lame_mu")               out[i,i,j,j] += self.getCoefficient("lame_lambda")
1398               out[i,j,j,i] += self.getCoefficient("lame_lambda")               out[i,j,j,i] += self.getCoefficient("lame_mu")
1399               out[i,j,i,j] += self.getCoefficient("lame_lambda")               out[i,j,i,j] += self.getCoefficient("lame_mu")
1400           return out           return out
1401       elif name == "B" :       elif name == "B" :
1402           return escript.Data()           return escript.Data()
# Line 1388  class LameEquation(LinearPDE): Line 1424  class LameEquation(LinearPDE):
1424           raise SystemError,"unknown PDE coefficient %s",name           raise SystemError,"unknown PDE coefficient %s",name
1425    
1426  # $Log$  # $Log$
1427  # Revision 1.9  2005/07/25 05:28:13  jgs  # Revision 1.10  2005/08/12 01:45:36  jgs
1428  # Merge of development branch back to main trunk on 2005-07-25  # erge of development branch dev-02 back to main trunk on 2005-08-12
1429  #  #
1430  # Revision 1.8  2005/06/09 05:37:59  jgs  # Revision 1.9.2.1  2005/07/29 07:10:27  gross
1431  # Merge of development branch back to main trunk on 2005-06-09  # new functions in util and a new pde type in linearPDEs
1432  #  #
1433  # Revision 1.7  2005/05/06 04:26:10  jgs  # Revision 1.1.2.25  2005/07/28 04:21:09  gross
1434  # Merge of development branch back to main trunk on 2005-05-06  # Lame equation: (linear elastic, isotropic) added
1435  #  #
1436  # Revision 1.1.2.24  2005/07/22 06:37:11  gross  # Revision 1.1.2.24  2005/07/22 06:37:11  gross
1437  # some extensions to modellib and linearPDEs  # some extensions to modellib and linearPDEs
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