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A cure for the sonic point glitch

Moschetta, Jean-Marc and Gressier, Jérémie A cure for the sonic point glitch. (2000) International Journal of Computational Fluid Dynamics, vol. 13 (n° 2). pp. 143-159. ISSN 1061-8562

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Official URL: http://dx.doi.org/10.1080/10618560008940895

Abstract

Among the various numerical schemes developed since the '80s for the computation of the compressible Euler equations, the vast majority produce in certain cases spurious pressure glitches at sonic points. This flaw is particularly visible in the computation of transonic expansions and leads to unphysical "expansion shocks" when the flow undergoes rapid change of direction. The analysis of this flaw is presented, based on a series of numerical experiments. For Flux-Vector Splitting methods, it is suggested that it is not the order of differentiability of the numerical flux which is crucial but the way the pressure at an interface is calculated. A new way of evaluating the pressure at the interface is proposed, based upon kinetic theory, and is applied to most current available algorithms including Flux Vector Splitting and Flux-Difference Splitting methods as well as recent hybrid schemes (AUSM, HUS).

Item Type:Article
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution: Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE
French research institutions > Office National d'Etudes et Recherches Aérospatiales - ONERA
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Deposited By:Jeremie Gressier

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