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On the positivity of fvs schemes

Moschetta, Jean-Marc and Gressier, Jérémie On the positivity of fvs schemes. (1999) In: International conference on "Godunov Methods : Theory and Applications", 18-22 Oct 1999, Oxford, United Kingdom .

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Abstract

Over the last ten years, robustness of schemes has raised an increasing interest among the CFD community. One mathematical aspect of scheme robustness is the positivity preserving property. At high Mach numbers, solving the conservative Euler equations can lead to negative densities or internal energy. Some schemes such as the flux vector splitting (FVS) schemes are known to avoid this drawback. In this study, a general method is detailed to analyze the positivity of FVS schemes. As an application, three classical FVS schemes (Van Leer's, Hänel's variant and Steger and Warming's) are proved to be positively conservative under a CFL-like condition. Finally, it is proved that for any FVS scheme, there is an intrinsic incompatibility between the desirable property of positivity and the exact resolution of contact discontinuities.

Item Type:Conference or Workshop Item (Paper)
Additional Information:The proceedings of this conference appear in the book : Godunov methods: Theory and Applications by E.F. Toro (Editor), 1090 p., ISBN 978-0306466014
Audience (conference):International conference proceedings
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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