[Getdp] normal component of gradient od scalar function

[michael.asam at infineon.com]

Hi Judith,

please have a look at this example in the wiki:
https://geuz.org/trac/getdp/wiki/Capacitor2D

There is an electro-static simulation where the charge
Q (=  surface integral of epsilon times the normal component
of the gradient of the electric potential) is calculated.

Cheers,
Michael


From: getdp [mailto:getdp-bounces at ace20.montefiore.ulg.ac.be] On Behalf Of Mengelkamp Judith TU Ilmenau
Sent: Tuesday, June 02, 2015 11:48 AM
To: getdp at geuz.org
Subject: [Getdp] normal component of gradient od scalar function

Hello getDP-users,

in my current project I have to calculate the surface integral of the normal component of the gradient of the electric potential. How do I do this in getDP-formulation? Is there somewhere an example?

I searched on the internet and found that a BF_GradGroupOfNodes basis function with a OnOneSideOf group.

So my function space looks like (Domain_SC is a surface entity, Domain is the whole domain)

{ Name Hgrad_phi ; Type Form1 ;
    BasisFunction {
                { Name sn2 ; NameOfCoef phin2 ; Function BF_GradGroupOfNodes ;
        Support ElementsOf[Domain, OnOneSideOf Domain_SC] ; Entity NodesOf[Domain_SC] ; }
    }
    Constraint {
                  { NameOfCoef phin2 ; EntityType GroupsOfNodesOf ;
                  NameOfConstraint DirichletPhi2 ; }
    }
  }

With the constraint

{ Name DirichletPhi2 ; Type Assign;
    Case {
      { Region Domain_SC ; Value 0. ; }
    }
  }

And the formulation

Galerkin { [ sigma[] * Dof{d phi} , {phi} ] ; In Domain_SC ; Jacobian JVol ; Integration I1 ; }

However, the solution does not look satisfying to me.

Any held would be highly appreciated.

Thanks in advance,
Judith.


--------------------------------------------
M.Sc. Judith Mengelkamp

Technische Universität Ilmenau
Institut für Biomedizinische Technik und Informatik (Institute for Biomedical Engineering and Informatics)
Fachgebiet Biomedizinische Technik (Biomedical Engineering Group)

Phone: +49 3677 69-1958
Fax:       +49 3677 69-1311
e-mail:  judith.mengelkamp at tu-ilmenau.de<mailto:judith.mengelkamp at tu-ilmenau.de>

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