80 citations · 81 across the 4 of their papers we have counts for
5 papers
Multi-element SIAC filter for shock capturing applied to high-order discontinuous Galerkin spectral element methods
Marvin Bohm, Sven Schermeng, Andrew R. Winters +2
We build a multi-element variant of the smoothness increasing accuracy conserving (SIAC) shock capturing technique proposed for single element spectral methods by Wissink et al. (B…
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: Theory and Numerical Verification
Marvin Bohm, Andrew R. Winters, Gregor J. Gassner +3
The first paper of this series presents a discretely entropy stable discontinuous Galerkin (DG) method for the resistive magnetohydrodynamics (MHD) equations on three-dimensional c…
An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations: Continuous analysis and GLM divergence cleaning
Marvin Bohm, Andrew R. Winters, Dominik Derigs +3
This work presents an extension of discretely entropy stable discontinuous Galerkin (DG) methods to the resistive magnetohydrodynamics (MHD) equations. Although similar to the comp…
Ideal GLM-MHD: About the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations
Dominik Derigs, Andrew R. Winters, Gregor J. Gassner +2
The paper presents two contributions in the context of the numerical simulation of magnetized fluid dynamics. First, we show how to extend the ideal magnetohydrodynamics (MHD) equa…
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…