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

We review numerical methods for direct numerical simulation (DNS) and large-eddy
simulation (LES) of turbulent compressible flow in the presence of shock waves. Ideal …

Although classical WENO schemes have achieved great success and are widely accepted,
they exhibit several shortcomings. They are too dissipative for direct simulations of …

A shock-capturing methodology is developed for non-linear computations using low-
dissipation schemes and centered finite differences. It consists in applying an adaptative …

The diffuse interface models, part of the family of the front capturing methods, provide an
efficient and robust framework for the simulation of multi-species flows. They allow the …

Abstract In Fu et al.[23], a family of high-order targeted ENO (TENO) schemes with a new
nonlinear weighting strategy has been proposed. Building upon this strategy, in the current …

In this paper, we extend the range of targeted ENO (TENO) schemes (Fu et al.(2016)[18]) by
proposing an eighth-order TENO8 scheme. A general formulation to construct the high-order …

We derive and analyze a model for implicit Large Eddy Simulation (LES) of compressible
flows that is applicable to a broad range of Mach numbers and particularly efficient for LES …

Discretization of the convection term in a three-cell compact stencil has been widely used in
Computational Fluid Dynamics (CFD) of engineering because the second-order …

In this paper, we propose a new scale-separation formula and develop a very-high-order
targeted ENO scheme, which shows exceptional performance in conventional compressible …