[Dune] how to integrate curvilinear tetrahedral elements into DUNE/Alugrid ?

[Andreas Dedner]

Hi Benedikt.
You would need to extend GeometryGrid (something many of us would
really appreciate). Basically GeometryGrid replaces the geometries of
the host grid
using the GenericGeometries which are only "linear". This part of
GeometryGrid
would need to be replaced with something higher order, e.g., some
curvilinear approximation.
Best
Andreas

On 23.01.2014 08:32, Benedikt Oswald wrote:
> Dear Dune
>
> as it happens we are forced to consider drastic steps to increase the
> efficiency of our electromagnetic solvers,
> especially in the frequency domain.
>
> Recently, Peter Bastian suggested we use curvilinear elements in order
> to model our curved geometry and domain
> boundaries. In fact, we believe that this will help us enormously
> since the element count will be much reduced.
>
> Peter also suggested we use the geometry grid on top of ALUGrid in
> order to achieve this.
>
> Now, my concrete questions is: given an existing curvilinear mesh
> (e.g. from gush), how would we do this ?
>
> I read that geometry grid manages the vertices of the underlying grid,
> but, a curvilinear tetrahedral element has
> vertices not only in the corners but also on the edges, faces and
> inside the volume.
> Perhaps my question is trivial, nevertheless, I'd appreciate your
> suggestions.
>
> I should say that gmsh is capable of generating quite nice curvilinear
> tetrahedral meshes, at least up to 3rd order.
>
> Greetings and thanks in advance, Benedikt
>
>
>
> --------------------------------------------------------------------------------------------------------------------------------------------------------------
> Dr. sc. techn. Benedikt Oswald - first engineer - LSPR AG - phone -
> +41 43 366 90 74
> Technoparkstrasse 1, CH-8005 Zürich, benedikt.oswald at lspr.ch
> <mailto:benedikt.oswald at lspr.ch>
> --------------------------------------------------------------------------------------------------------------------------------------------------------------
>
>
>
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