4 papers
Well-Balanced Subcell Limiting for Discontinuous Galerkin Discretizations of the Shallow-Water Equations
Andrés M. Rueda-Ramírez, Patrick Ersing, Andrew R. Winters +1
High-order discontinuous Galerkin (DG) methods equipped with subcell finite-volume (FV) limiters provide an efficient framework for the simulation of nonlinear hyperbolic balance l…
Entropy analysis and entropy stable DG methods for the 1D shallow water moment equations
Julio Careaga, Patrick Ersing, Julian Koellermeier +1
We demonstrate that the one-dimensional shallow water moment equations satisfy an auxiliary entropy conservation law, where the entropy function corresponds to the total energy. Ad…
A new class of entropy stable fluctuations for the discontinuous Galerkin method with application to the Saint-Venant-Exner model
Patrick Ersing, Andrew R. Winters
In this work we consider entropy stable discontinuous Galerkin methods applied to nonconservative hyperbolic systems. We introduce a new class of entropy conservative fluctuations…
Entropy stable hydrostatic reconstruction schemes for shallow water systems
Patrick Ersing, Sven Goldberg, Andrew R. Winters
In this work, we develop a new hydrostatic reconstruction procedure to construct well-balanced schemes for one and multilayer shallow water flows, including wetting and drying. Ini…