The purpose of this work is to propose a novel a posteriori finite volume subcell limiter
technique for the Discontinuous Galerkin finite element method for nonlinear systems of …

Abstract The HLLC (Harten–Lax–van Leer contact) approximate Riemann solver for
computing solutions to hyperbolic systems by means of finite volume and discontinuous …

As computational astrophysics comes under pressure to become a precision science, there
is an increasing need to move to high accuracy schemes for computational astrophysics …

In this paper a new, simple and universal formulation of the HLLEM Riemann solver (RS) is
proposed that works for general conservative and non-conservative systems of hyperbolic …

In this paper we present a novel arbitrary high order accurate discontinuous Galerkin (DG)
finite element method on space–time adaptive Cartesian meshes (AMR) for hyperbolic …

In this paper we propose a simple, robust and accurate nonlinear a posteriori stabilization of
the Discontinuous Galerkin (DG) finite element method for the solution of nonlinear …

In this paper we first review the development of high order ADER finite volume and ADER
discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in …

The purpose of this paper is twofold. First, the application of high-order methods in
combination with the popular HLLC Riemann solver demonstrates that the grid-aligned …

Modern applications of computational fluid dynamics involve complex interactions across
scales such as shock interactions with turbulent structures and multiphase interfaces. Such …

In this paper a new hybrid semi-implicit finite volume/finite element (FV/FE) scheme is
presented for the numerical solution of the compressible Euler and Navier–Stokes equations …