Showing math.NAShow all
3 papers · 1 filter
math.NA2023
High order entropy stable schemes for the quasi-one-dimensional shallow water and compressible Euler equations
Jesse Chan, Khemraj Shukla, Xinhui Wu +2
High order schemes are known to be unstable in the presence of shock discontinuities or under-resolved solution features for nonlinear conservation laws. Entropy stable schemes add…
math.NA2020
Entropy stable discontinuous Galerkin methods for nonlinear conservation laws on networks and multi-dimensional domains
Xinhui Wu, Jesse Chan
We present a high-order entropy stable discontinuous Galerkin (ESDG) method for nonlinear conservation laws on both multi-dimensional domains and on networks constructed from one-d…
math.NA2020
High-order entropy stable discontinuous Galerkin methods for the shallow water equations: curved triangular meshes and GPU acceleration
Xinhui Wu, Jesse Chan, Ethan Kubatko
We present a high-order entropy stable discontinuous Galerkin (ESDG) method for the two dimensional shallow water equations (SWE) on curved triangular meshes. The presented scheme…