In this paper we develop a new well-balanced discontinuous Galerkin (DG) finite element
scheme with subcell finite volume (FV) limiter for the numerical solution of the Einstein–Euler …

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

Abstract In shock-induced Richtmyer–Meshkov instability, the polygonal bubbles, including
the rectangular interface can offer favorable circumstances for shock refraction research …

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

The construction of high-order structure-preserving numerical schemes to solve hyperbolic
conservation laws has attracted a lot of attention in the last decades and various different …

For finite element approximations of transport phenomena, it is often necessary to apply a
form of limiting to ensure that the discrete solution remains well-behaved and satisfies …

Many mathematical models of continuum mechanics are derived from integral conservation
laws. Examples of such models include the Euler and Navier–Stokes equations of fluid …

In this paper, we show that diagonal-norm summation by parts (SBP) discretizations of
general non-conservative systems of hyperbolic balance laws can be rewritten as a finite …

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 …

Subcell limiting strategies for discontinuous Galerkin spectral element methods do not
provably satisfy a semi-discrete cell entropy inequality. In this work, we introduce an …