350 citations · 1.2k across the 53 of their papers we have counts for
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An Entropy Stable h/p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property
Lucas Friedrich, Andrew R. Winters, David C. Del Rey Fernández +3
This work presents an entropy stable discontinuous Galerkin (DG) spectral element approximation for systems of non-linear conservation laws with general geometric (h) and polynomia…
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…
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…
Stability of Overintegration Methods for Nodal Discontinuous Galerkin Spectral Element Methods
David A. Kopriva
We perform stability analyses for discontinuous Galerkin spectral element approximations of linear variable coefficient hyperbolic systems in three dimensional domains with curved…
On the use of kinetic energy preserving DG-schemes for large eddy simulation
David Flad, Gregor J. Gassner
High Order DG methods with Riemann solver based interface numerical flux functions offer an interesting dispersion dissipation behaviour: dispersion errors are very low for a broad…
The BR1 Scheme is Stable for the Compressible Navier-Stokes Equations
Gregor J. Gassner, Andrew R. Winters, Florian J. Hindenlang +1
We show how to modify the original Bassi and Rebay scheme (BR1) [F. Bassi and S. Rebay, A High Order Accurate Discontinuous Finite Element Method for the Numerical Solution of the…