350 citations · 908 across the 39 of their papers we have counts for
3 papers · 2 filters
On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws
Hendrik Ranocha, Andrew R. Winters, Michael Schlottke-Lakemper +3
We use the framework of upwind summation-by-parts (SBP) operators developed by Mattsson (2017, doi:10.1016/j.jcp.2017.01.042) and study different flux vector splittings in this con…
An entropy stable discontinuous Galerkin method for the two-layer shallow water equations on curvilinear meshes
Patrick Ersing, Andrew R. Winters
We present an entropy stable nodal discontinuous Galerkin spectral element method (DGSEM) for the two-layer shallow water equations on two dimensional curvilinear meshes. We mimic…
Encapsulated generalized summation-by-parts formulations for curvilinear and non-conforming meshes
Tomas Lundquist, Andrew Winters, Jan Nordström
We extend the construction of so-called encapsulated global summation-by-parts operators to the general case of a mesh which is not boundary conforming. Owing to this development,…