11 citations · 11 across the 5 of their papers we have counts for
8 papers
An Entropy Stable Nodal Discontinuous Galerkin Method for the resistive MHD Equations. Part II: Subcell Finite Volume Shock Capturing
Andrés M Rueda-Ramírez, Sebastian Hennemann, Florian J Hindenlang +2
The second paper of this series presents two robust entropy stable shock-capturing methods for discontinuous Galerkin spectral element (DGSEM) discretizations of the compressible m…
Stable filtering procedures for nodal discontinuous Galerkin methods
Jan Nordström, Andrew R. Winters
We prove that the most common filtering procedure for nodal discontinuous Galerkin (DG) methods is stable. The proof exploits that the DG approximation is constructed from polynomi…
Construction of Modern Robust Nodal Discontinuous Galerkin Spectral Element Methods for the Compressible Navier-Stokes Equations
Andrew R. Winters, David A. Kopriva, Gregor J. Gassner +1
Discontinuous Galerkin (DG) methods have a long history in computational physics and engineering to approximate solutions of partial differential equations due to their high-order…
Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Navier-Stokes Equations
David C. Del Rey Fernandez, Mark H. Carpenter, Lisandro Dalcin +4
The entropy conservative, curvilinear, nonconforming, p-refinement algorithm for hyperbolic conservation laws of Del Rey Fernandez et al. (2019), is extended from the compressible…
Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Euler equations
D. C. Del Rey Fernandez, M. H. Carpenter, L. Dalcin +6
The entropy conservative/stable algorithm of Friedrich~\etal (2018) for hyperbolic conservation laws on nonconforming p-refined/coarsened Cartesian grids, is extended to curvilinea…
Multi-element SIAC filter for shock capturing applied to high-order discontinuous Galerkin spectral element methods
Marvin Bohm, Sven Schermeng, Andrew R. Winters +2
We build a multi-element variant of the smoothness increasing accuracy conserving (SIAC) shock capturing technique proposed for single element spectral methods by Wissink et al. (B…