233 citations · 605 across the 8 of their papers we have counts for
3 papers · 1 filter
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…
Entropy Stable Finite Volume Approximations for Ideal Magnetohydrodynamics
Dominik Derigs, Gregor J. Gassner, Stefanie Walch +1
This article serves as a summary outlining the mathematical entropy analysis of the ideal magnetohydrodynamic (MHD) equations. We select the ideal MHD equations as they are particu…