8 papers
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…
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…
A Novel Averaging Technique for Discrete Entropy-Stable Dissipation Operators for Ideal MHD
Dominik Derigs, Andrew R. Winters, Gregor J. Gassner +1
Entropy stable schemes can be constructed with a specific choice of the numerical flux function. First, an entropy conserving flux is constructed. Secondly, an entropy stable dissi…
A novel high-contrast imaging technique based on optical tunneling to search for faint companions around bright stars at the limit of diffraction
Dominik Derigs, Lucas Labadie, Dhriti Sundar Ghosh +1
We present a novel application of optical tunneling in the context of high-angular resolution, high-contrast techniques with the aim of improving direct imaging capabilities of fai…