Seminarreihe "structure preserving numerical methods for hyperbolic equations" im Oberseminar Mathematische Strömungsmechanik: Yulong Xin, Arbitrary order structure preserving discontinuous Galerkin methods for hyperbolic balance laws

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

Abstract:

Euler equations under gravitational fields and shallow water equations with a non-flat bottom topography
are two prototype hyperbolic conservation laws with source term (also named hyperbolic balance laws). They
both have various applications in many fields. In this presentation, we will talk about arbitrary order structure
preserving discontinuous Galerkin finite element methods which can exactly capture the non-trivial steady state
solutions of these models, and at the same time maintain the non-negativity of some physical quantities. Numerical
tests are provided to verify the well-balanced property, positivity-preserving property, high-order accuracy,
and good resolution for both smooth and discontinuous solutions.

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