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

[Andreas Dedner]

What I would suggest would be to setup a project on the dune user wiki and
giving it public access - that hopefully will give you some help from the
experienced dune developers if you get stuck.
I'm terrible with naming so will not make a suggestion but
CurvilinearGeometryGrid and simply CurvilinearGrid comes to mind.
Best
Andreas

On 23.01.2014 10:13, Benedikt Oswald wrote:
> Hello Andreas, thanks.
>
> Then, I shall do so!
>
> However, not being an expert in Dune internals programming,
> where would I start ?
>
> would the extension of dune / grid / geometry grid / coordfunction be
> the right place ?
>
> And, more technically speaking, should copy the geometry grid
> directory into my
> own source tree, implement the things there and, once it works, submit
> back to Dune?
>
> What about naming the new implementation ?
>
> Greetings, 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>
> --------------------------------------------------------------------------------------------------------------------------------------------------------------
>
> On Jan 23, 2014, at 10:04 AM, Andreas Dedner <a.s.dedner at warwick.ac.uk
> <mailto:a.s.dedner at warwick.ac.uk>> wrote:
>
>> 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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>>
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