This article reviews several unstructured grid-based high-order methods for the
compressible Euler and Navier–Stokes equations. We treat the spatial and temporal …

We present modifications to the Spalart-Allmaras (SA) turbulence model targeted toward
situations of under-resolved grids and unphysical transient states. These modifications are …

We describe, in the framework of steady-state diffusion problems, the history of the
development of the so-called hybridizable discontinuous Galerkin (HDG) methods, since …

Mathematicsisplayinganevermoreimportant…-ical sciences, provoking a blurring of
boundaries between scienti? c disciplines and a resurgence of interest in the modern as …

In this paper, we investigate the accuracy and efficiency of discontinuous Galerkin spectral
method simulations of under‐resolved transitional and turbulent flows at moderate Reynolds …

We study preconditioners for the iterative solution of the linear systems arising in the implicit
time integration of the compressible Navier–Stokes equations. The spatial discretization is …

This study is concerned with predicting surface heat transfer in viscous hypersonic flows
using high-order discontinuous Galerkin (DG) methods. Currently, finite-volume (FV) …

In this paper, we present a Hybridizable Discontinuous Galerkin (HDG) method for the
solution of the compressible Euler and Navier-Stokes equations. The method is devised by …

In recent years, high-order discontinuous Galerkin (DG) methods have emerged as an
attractive approach for numerical simulations of compressible flows. This paper presents an …

This article presents a novel shock‐capturing technique for the discontinuous Galerkin (DG)
method. The technique is designed for compressible flow problems, which are usually …