350 citations · 1.2k across the 53 of their papers we have counts for
7 papers · 1 filter
FLEXI: A high order discontinuous Galerkin framework for hyperbolic-parabolic conservation laws
Nico Krais, Andrea Beck, Thomas Bolemann +8
High order (HO) schemes are attractive candidates for the numerical solution of multiscale problems occurring in fluid dynamics and related disciplines. Among the HO discretization…
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…
Entropy stable numerical approximations for the isothermal and polytropic Euler equations
Andrew R. Winters, Christof Czernik, Moritz B. Schily +1
In this work we analyze the entropic properties of the Euler equations when the system is closed with the assumption of a polytropic gas. In this case, the pressure solely depends…
On the order reduction of entropy stable DGSEM for the compressible Euler equations
Florian J. Hindenlang, Gregor J. Gassner
Is the experimental order of convergence lower when using the entropy stable DGSEM-LGL variant? Recently, a debate on the question of the convergence behavior of the entropy stable…
Stability of Wall Boundary Condition Procedures for Discontinuous Galerkin Spectral Element Approximations of the Compressible Euler Equations
Florian J. Hindenlang, Gregor J. Gassner, David A. Kopriva
We perform a linear and entropy stability analysis for wall boundary condition procedures for discontinuous Galerkin spectral element approximations of the compressible Euler equat…