350 citations · 1.2k across the 53 of their papers we have counts for
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A Provably Stable Discontinuous Galerkin Spectral Element Approximation for Moving Hexahedral Meshes
David A. Kopriva, Andrew R. Winters, Marvin Bohm +1
We design a novel provably stable discontinuous Galerkin spectral element (DGSEM) approximation to solve systems of conservation laws on moving domains. To incorporate the motion o…
Affordable, Entropy Conserving and Entropy Stable Flux Functions for the Ideal MHD Equations
Andrew R. Winters, Gregor J. Gassner
In this work, we design an entropy stable, finite volume approximation for the ideal magnetohydrodynamics (MHD) equations. The method is novel as we design an affordable analytical…
An Entropy Stable Finite Volume Scheme for the Equations of Shallow Water Magnetohydrodynamics
Andrew R. Winters, Gregor J. Gassner
In this work, we design an entropy stable, finite volume approximation for the shallow water magnetohydrodynamics (SWMHD) equations. The method is novel as we design an affordable…
An Entropy Stable Nodal Discontinuous Galerkin Method for the Two Dimensional Shallow Water Equations on Unstructured Curvilinear Meshes with Discontinuous Bathymetry
Niklas Wintermeyer, Andrew R. Winters, Gregor J. Gassner +1
We design an arbitrary high-order accurate nodal discontinuous Galerkin spectral element approximation for the nonlinear two dimensional shallow water equations with non-constant,…