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…
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…
Tree-based solvers for adaptive mesh refinement code FLASH - I: gravity and optical depths
Richard Wünsch, Stefanie Walch, František Dinnbier +1
We describe an OctTree algorithm for the MPI-parallel, adaptive mesh-refinement code {\sc FLASH}, which can be used to calculate the gas self-gravity, and also the angle-averaged l…
SILCC-Zoom: The dynamical and chemical evolution of molecular clouds
D. Seifried, S. Walch, P. Girichidis +6
We present 3D "zoom-in" simulations of the formation of two molecular clouds out of the galactic interstellar medium. We model the clouds - identified from the SILCC simulations -…