Seminarreihe "structure preserving numerical methods for hyperbolic equations" im Oberseminar Mathematische Strömungsmechanik: Praveen Chandrashekar

This talk is part of the seminar series "structure preserving numerical methods for hyperbolic equations", click here for more details 

Abstract:

We discuss an approach for constructing DG methods for hyperbolic problems which automatically ensures
the divergence-free condition. The approximation is based on the use of Raviart-Thomas polynomial spaces for
approximating vector fields. The methods require multi-dimensional Riemann solvers to ensure the divergencefree
property. We will discuss HLL-type multi-dimensional Riemann solvers to estimate the electric field at
vertices which are consistent with the 1-D Riemann solvers. When limiters are used, the divergence-free property
may be lost and it is recovered by a divergence-free reconstruction step. We show the performance of the
method on a range of test cases up to fourth order of accuracy.

via Zoom video conference (request the Zoom link from klingen@mathematik.uni-wuerzburg.de)