Numerical symmetry-preserving techniques for low-dissipation shock-capturing schemes

Numerical dissipation control in high order shock-capturing schemes for LES of low speed flows

Article history: Received 16 December 2014 Received in revised form 8 October 2015 Accepted 16 November 2015 Available online 1 December 2015

Geometric Shock - Capturing ENO Schemes for SubpixelInterpolation

Subpixel methods that locate curves and their singularities, and that accurately measure geometric quantities, such as orientation and curvature, are of signiicant importance in computer vision and other applications. Such methods often use local surface ts or structural models for a local neighborhood of the curve, to obtain the interpolated curve. Whereas their performance is good in smooth r...

On Some Numerical Dissipation Schemes

Several schemes for introducing an arti cial dissipation into a central di erence approximation to the Euler and Navier Stokes equations are considered. The focus of the paper is on the convective upwind and split pressure (CUSP) scheme, which is designed to support single interior point discrete shock waves. This scheme is analyzed and compared in detail with scalar dissipation and matrix diss...

Structure-preserving shock-capturing methods: late-time asymptotics, curved geometry, small-scale dissipation, and nonconservative products

On entropy generation and dissipation of kinetic energy in high-resolution shock-capturing schemes

This paper addresses entropy generation and the corresponding dissipation of kinetic energy associated with high-resolution, shock-capturing (Godunov) methods. Analytical formulae are derived for the rate of increase of entropy given arbitrary jumps in primitive variables at a cell interface. It is demonstrated that for general continuously varying flows the inherent numerical entropy increase ...