Seminarreihe "structure preserving numerical methods for hyperbolic equations" im Oberseminar Mathematische Strömungsmechanik: Francois Bouchut, Two examples of multi well-balanced schemes for shallow water type systems
|Datum:||19.02.2021, 15:00 - 16:00 Uhr|
This talk is part of the seminar series "structure preserving numerical methods for hyperbolic equations", click here for more details
Many systems of shallow water type arise in the modeling of thin layer flows. The sources can take several forms, and for each of them the question of building a well-balanced scheme comes out. We are interested here in the case when it is required to build a numerical scheme that preserves two nontrivial families of steady states at rest. Such a scheme can be called multi well-balanced. In order to apply the reconstruction method one has to manage with the two families at the same time. I will show how it can be possible while at the same time verifying a semi-discrete entropy inequality.
Two examples of entropy satisfying multi well-balanced schemes will be given: the shallow water MHD system with topography, and a shallow water system with internal variable and topography.
via Zoom video conference (request the Zoom link from firstname.lastname@example.org)