For compressible flow simulations involving both turbulence and shockwaves, the
competing requirements render it challenging to develop high-order numerical methods …

We present a shock capturing procedure for high order Discontinuous Galerkin methods, by
which shock regions are refined in sub-cells and treated by finite volume techniques. Hence …

The stable and accurate approximation of discontinuities such as shocks on a finite
computational mesh is a challenging task. Detection of shocks or strong discontinuities in …

In this paper, a new family of very-high-order TENO schemes with adaptive accuracy order
and adaptive dissipation control (TENO-AA) is proposed. The new framework allows for …

Unsteady surface pressure measurements have been carried out on a flat-plate test article in
the Air Force Research Laboratory's Mach-6 Ludwieg Tube at a negative angle of attack …

We introduce an adaptive viscosity regularization approach for the numerical solution of
systems of nonlinear conservation laws with shock waves. The approach seeks to solve a …

This paper presents a shock capturing artificial viscosity scheme for the compact high-order
finite volume methods in terms of the variational reconstructions on unstructured grids. The …

Dealing with strong shocks while retaining low numerical dissipation traditionally has been
one of the major challenges for high order methods like discontinuous Galerkin (DG). In the …

Abstract The Quasi-Spectral Viscosity (QSV) method is a novel closure for a high-order finite-
difference discretization of the filtered compressible Navier-Stokes equations capable of …

In this paper, we introduce a shock‐capturing artificial viscosity technique for high‐order
unstructured mesh methods. This artificial viscosity model is based on a non‐dimensional …