[Getdp] Integration in 2D and 2D axisymmetry

[Frederic Trillaud Pighi]

Dear all, 

The question is the following, how does the Integral function computes the integral on Jacobian VolAxi and Jacobian Vol? 

I have implemented a 2D axisymmetric magnetic problem (a solenoid). While I tried to compute the area of the solenoidal coil on the Jacobian definition VolAxi in the post-processing stage, it comes out wrong. However, if I define Jacobian Vol, the area comes out right. It should be mentioned that if I use either the definition of the Jacobian Vol or VolAxi in the Formulation to integrate the current density, the results do not seem to be affect. I am puzzled!! 


{ 
Name jacobianNDRegionZ; 
Case 
{ 
{ 
Region All; 
Jacobian Vol; 
} 
} 
} 
{ 
Name jacobianNDRegion; 
Case 
{ 
{ 
Region infiniteBoundaryDomain; 
Jacobian VolAxiSphShell{0.95*infiniteBoundaryInnerRadius, 1.05*infiniteBoundaryOuterRadius}; 
} 
{ 
Region All; 
Jacobian VolAxi; 
} 
} 
} 

Correct -> {Name computedCoilSurface; Value{Integral {[1]; In inductorDomain; Jacobian jacobianNDRegionZ; Integration basicIntegration;}}} 
Wrong -> {Name computedCoilSurface; Value{Integral {[1]; In inductorDomain; Jacobian jacobianNDRegion; Integration basicIntegration;}}} 

In formulation: 

{ 
Name potentialVectorFormulation; 
Type FemEquation; 
Quantity 
{ 
{ 
Name A; 
Type Local; 
NameOfSpace potentialVectorFunctionSpace; 
} 
{ 
Name Je; 
Type Local; 
NameOfSpace sourceFunctionSpace; 
} 
} 
Equation 
{ 
Galerkin // magnetic solution domain (entire domain) 
{ 
[nu[]*Dof{Curl A}, {Curl A}]; 
In electromagneticSolutionDomain; 
Jacobian jacobianNDRegion; 
Integration basicIntegration; 
} 
Galerkin // Induction in inductor domain 
{ 
DtDof[sigma[Dt[{A}], {Curl A}]*Dof{A}, {A}]; 
In inductorDomain; 
Jacobian jacobianNDRegion; 
Integration basicIntegration; 
} 
Galerkin // Inductor domain (conductors) 
{ 
[-Dof{Je}, {A}]; 
In inductorDomain; 
Jacobian jacobianNDRegion; // or Jacobian jacobianNDRegionZ; does not seem to affect result 
Integration basicIntegration; 
} 
} 
} 

Best, 


Frederic 
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