[Dune] DUNE advection w/ periodic BC w/ RK4 ?

[Peter Bastian]

Dear Theresa,

The standard explicit RK4 method is implemented in the class
RK4Parameter
<https://www.dune-project.org/doxygen/pdelab/master/classDune_1_1PDELab_1_1RK4Parameter.html>

in PDELab (it merely contains
the entries of the Butcher Tableau, so you could easily add other
methods as well).
Sorry for answering this here, as it is actually the dune list and not a
pdelab list.

Periodic boundary conditions on YaspGrid need to be implemented "in a
parallel setting",
i.e. halo cells are added in the periodic directions and a communication
steps transports
the solution from boundary to boundary. But I did not try this for a
long time ...

Which disretization scheme did you intend to use?

Best regards,

Peter

Am 04.12.20 um 16:11 schrieb Theresa Pollinger:
>
> Dear DUNE developers,
>
> as you may know, we are using DUNE to run FEM with the sparse grid
> combination technique, via coupling to our code DisCoTec [0].
>
> Now for another project, we were simulating a pure advection problem
> with another FEM code, which returned rather unexpected results. Now I
> wanted to turn the exact same advection problem into a DUNE problem to
> validate the results, but it turns out that this is quite hard. Two
> things I am struggling with:
>
> - how do you set periodic boundary conditions in all directions? So
> far I only found this old answer [1], and a test using YaspGrid looks
> very much like periodicity is only set in one dimension, even if I
> supply an all-true argument `periodic`.
>
> - What is the proper way to use a Runge-Kutta 4th-order scheme in
> DUNE? AFAICT, pdelab only implements up to order 3 RK methods [2]?
>
> Maybe you could let me know if there are people who have already
> implemented those things.
>
> Best,
>
> Theresa
>
>
> [0] https://github.com/SGpp/DisCoTec
>
> [1]
> https://lists.dune-project.org/pipermail/dune-pdelab/2011-October/000212.html
> <https://lists.dune-project.org/pipermail/dune-pdelab/2011-October/000212.html>
>
> [2]
> https://github.com/dune-project/dune-pdelab/blob/master/dune/pdelab/instationary/onestepparameter.hh
>
> -- 
>
> Theresa Pollinger
>
> Universität Stuttgart
> Institut für Parallele und Verteilte Systeme
> Simulation Software Engineering
>
> Universitätsstr. 38
> 70569 Stuttgart
>
> Phone: +49 711 685 60921
>
> _______________________________________________
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> Dune at lists.dune-project.org
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