[Dune] Dune Digest, Vol 84, Issue 22

[Martin Nolte]

Hi Marco,

your goal is very understandable and I think your questions are very interesting 
(at least for finite volume schemes).

If I remember correctly, Andreas already pointed out that "moving vertices after 
refinement" is still under discussion. Unfortunately, the problem is not as 
simple as moving around the vertices (just think of 2nd order isoparametric 
elements).

I would like to add that your "ideal" grid sounds very interesting and might 
have an impact on the above-mentioned discussion. Between the lines I read that 
you think its implementation would not be very hard. Maybe you could try to 
provide such a grid? I might really help.

Best,

Martin

On 06/12/2012 10:19 AM, Marco Cisternino wrote:
> Hi,
> thanks for all the advices.
> Andreas, in order to redefine my problem: I want to manage curvilinear grid,
> then during refinement I would like to move new nodes on the curvilinear
> parametrization to get a smoother grid. To make this possible I should be able
> to move new vertices on the parametrization, but this would mean getting
> 5-vertices element as the first neighbours to the locally refined region.
> o-----------o
> | |
> | |
> | |
> o----m----o
> | | |
> n----n-----n
> | | |
> o----n---.-o
> This would be the standard refinement, but I want to move the m-vertex on a
> parametrization of o----m----o, like this
> o-----------o
> | |
> | m |
> | / | \ |
> o | o
> | | |
> n----n-----n
> | | |
> o----n---.-o
> But now the element o-m-o-o-o has 5 vertices.
> I don't want to avoid hanging nodes as you can see. But I think I can't manage
> 5-vertices elements with ALUGrid, isn't it? And with UG??
> I cannot understand why this kind of element is hard to be managed. When an
> hanging node is present, let me say in the first configuration I plotted, I have
> 5 intersections anyway!
> Does only UG allow me to move vertices?
> What happen if 4 elements are coarsened? Do I get a 5-vertex element???
> o
> / | \
> o | o
> | | |
> o----o-----o
> | | |
> o----o---.-o
>
> Thanks a lot again!!
> Cheers,
> Marco
>
>
>
>
> Il 11/06/2012 21:20, dune-request at dune-project.org ha scritto:
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>>     1. [#1000] Evaluate build system migration from autotools to
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>>     2. [#1000] Evaluate build system migration from autotools to
>>        CMake (Dune)
>>     3. [#1000] Evaluate build system migration from autotools to
>>        CMake (Dune)
>>     4. [#1000] Evaluate build system migration from autotools to
>>        CMake (Dune)
>>     5. Re: bad grids?? (Dedner, Andreas)
>>     6. Re: GMSH reader fails in reading the same file for
>>        ALUSimplexGrid<2, 3>  and not ALUSimplexGrid<3, 3>  (Dedner, Andreas)
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>>        CMake (Dune)
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-- 
Dr. Martin Nolte <nolte at mathematik.uni-freiburg.de>

Universität Freiburg                                   phone: +49-761-203-5630
Abteilung für angewandte Mathematik                    fax:   +49-761-203-5632
Hermann-Herder-Straße 10
79104 Freiburg, Germany