8 citations · 10 across the 4 of their papers we have counts for
4 papers
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…
Entropy stable discontinuous Galerkin methods for the shallow water equations with subcell positivity preservation
Xinhui Wu, Nathaniel Trask, Jesse Chan
High order schemes are known to be unstable in the presence of shock discontinuities or under-resolved solution features, and have traditionally required additional filtering, limi…
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…
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…