367 citations · 6.4k across the 103 of their papers we have counts for
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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…
A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations
Andrew R. Winters, Rodrigo C. Moura, Gianmarco Mengaldo +4
This work focuses on the accuracy and stability of high-order nodal discontinuous Galerkin (DG) methods for under-resolved turbulence computations. In particular we consider the in…
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…