There have been growing research interests in high-order discontinuous schemes over
recent years. With established theoretical basis and framework, more efforts have recently …

A comparison study of the efficiency and accuracy of a variety of meshless trial and test
functions is presented in this paper, based on the general concept of the meshless local …

This paper is concerned with the numerical solution of the unified first order hyperbolic
formulation of continuum mechanics recently proposed by Peshkov and Romenski [110] …

In this paper, we propose a new unified family of arbitrary high order accurate explicit one-
step finite volume and discontinuous Galerkin schemes on unstructured triangular and …

One of the challenges in computational fluid–structure interaction (FSI) analysis of
spacecraft parachutes is the “geometric porosity,” a design feature created by the hundreds …

Modeling crack initiation and propagation in brittle materials is of great importance to be
able to predict sudden loss of load-carrying capacity and prevent catastrophic failure under …

Spacecraft-parachute designs quite often include “geometric porosity” created by the
hundreds of gaps and slits that the flow goes through. Computational fluid–structure …

In this paper we propose a novel arbitrary high order accurate semi-implicit space–time
discontinuous Galerkin method for the solution of the three-dimensional incompressible …

We present a higher order discretization scheme for the compressible Euler and Navier–
Stokes equations with immersed boundaries. Our approach makes use of a discontinuous …

In this paper, we formulate and test numerically a fully-coupled discontinuous Galerkin (DG)
method for incompressible two-phase flow with discontinuous capillary pressure. The spatial …