Open for all UnRAVeL Members: Weekly Seminar by RTG Eddy: Entropy satisfying multi well-balanced schemes for shallow water type systems

Thursday, May 20, 2021, 10:15am

Location: Online Session 

Speaker: François Bouchut (Université Gustave Eiffel, Marne-la-Vallée (France))

 

Abstract: 

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.

Please see the Website of the RTG Eddy for more Information!