Numerical Analysis and Scientific Computing Seminar
Provably entropy stable subcell finite volume shock capturing for high order spectral element discontinuous Galerkin methods
Speaker: Gregor Gassner, University of Cologne
Location: Warren Weaver Hall online
Date: March 26, 2021, 10 a.m.
In this talk, we explain how to construct a compatible subcell finite volume scheme that can be seemlessly blended with a high order spectral element discontinuous Galerkin method. Our goal applications are the compressible Euler equations and the ideal MHD equations in multiple dimensions. Starting with an entropy-dissipative split-form discontinuous Galerkin scheme on collocated Legendre-Gauss-Lobatto (LGL) nodes, we show how to carefully design a finite volume type discretization on the LGL subcell grid such that it is (i) still provably entropy-dissipative/stable/