2 papers
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…