We present a general family of subcell limiting strategies to construct robust high-order
accurate nodal discontinuous Galerkin (DG) schemes. The main strategy is to construct …

This study proposes a novel method for developing discretization-consistent closure
schemes for implicitly filtered large eddy simulation (LES). Here, the induced filter kernel …

We use the framework of upwind summation-by-parts (SBP) operators developed by
Mattsson (2017, doi: 10.1016/j. jcp. 2017.01. 042) and study different flux vector splittings in …

High-order entropy-stable discontinuous Galerkin methods for the compressible Euler and
Navier-Stokes equations require the positivity of thermodynamic quantities in order to …

The second paper of this series presents two robust entropy stable shock-capturing methods
for discontinuous Galerkin spectral element (DGSEM) discretizations of the compressible …

We extend the monolithic convex limiting (MCL) methodology to nodal discontinuous
Galerkin spectral-element methods (DGSEMS). The use of Legendre-Gauss-Lobatto (LGL) …

Jump penalty stabilization techniques for under-resolved turbulence have been recently
proposed for continuous and discontinuous high order Galerkin schemes [1],[2],[3]. The …

This is the second of two companion papers, in which we develop and analyze a new class
of positivity-preserving, entropy stable spectral collocation schemes of arbitrary order of …

In this paper, we present an entropy-stable (ES) discretization using a nodal discontinuous
Galerkin (DG) method for the ideal multi-ion magneto-hydrodynamics (MHD) equations. We …

We present a new class of efficient and robust discontinuous spectral-element methods of
arbitrary order for nonlinear hyperbolic systems of conservation laws on curved triangular …