[Getdp] Fwd: Rectangular shell transformation

François Henrotte francois.henrotte at uclouvain.be
Tue Jan 13 10:54:46 CET 2015



Hello Tobias.

The reference concerning VolRectShell (and other transformed finite elements) is the attached paper.

Contrary to the cylindrical and spherical shell, the rectangular shell transformation
is defined direction by direction.
For this the shell must be explicitly defined as six geometrical regions,
each pair of them (domInfX, domInfY and domInfZ) being assigned a rectangular transformation in a given direction, x, y or z.
See in Fig. 4 in the attached paper for an example in 2D.

You also need to define  three different transformations.
Something like this:

Jacobian
{
 {
   Name Jac;
   Case {
     {Region dom; Jacobian Vol;}
     // {Region domInf; Jacobian Vol;}
     {Region domInfX; Jacobian VolRectShell {xInt,xExt,1,0,0,0};}
     {Region domInfY; Jacobian VolRectShell {yInt,yExt,2,0,0,0};}
     {Region domInfZ; Jacobian VolRectShell {zInt,zExt,3,0,0,0};}
   }
 }
}

Lasse es mir einfach wissen, wenn du noch weitere Schwierigkeiten haben würdest.

Beste Grüßen,

François


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