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A family of functions for mass and energy flux splitting of the Euler equations

✍ Scribed by A.C. Raga; J. Cantó

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
665 KB
Volume
228
Category
Article
ISSN
0021-9991

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✦ Synopsis

Flux vector splitting algorithms for the Euler equations are based on dividing the mass, momentum and energy fluxes into a ''forward directed flux" F þ and a ''backward directed flux" F À (with Leer ( , 1982) [4,5] ) [4,5] proposed using polynomials of the Mach number for computing F þ and F À in the subsonic regime, and derived the lowest order polynomials that satisfy a set of chosen criteria. In this paper, we explore the possibility of increasing the order of these polynomials, with the purpose of reducing the diffusion across slow moving contact discontinuities of the flux vector splitting algorithm. We find that a moderate reduction of the diffusion, resulting in sharper shocks and contact discontinuities, can indeed be obtained with the higher order polynomials for the split fluxes.

📜 SIMILAR VOLUMES

Euler-lagrange equation and regularity f
Euler-lagrange equation and regularity for flat minimizers of the Willmore functional
✍ Peter Hornung 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 764 KB

## Abstract Let \input amssym $S\subset{\Bbb R}^2$ be a bounded domain with boundary of class __C__^∞^, and let __g__~__ij__~ = δ~__ij__~ denote the flat metric on \input amssym ${\Bbb R}^2$. Let __u__ be a minimizer of the Willmore functional within a subclass (defined by prescribing boundary cond