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Shock wave instability and the carbuncle phenomenon: same intrinsic origin ?

Robinet, Jean-Christophe and Gressier, Jérémie and Casalis, Grégoire and Moschetta, Jean-Marc Shock wave instability and the carbuncle phenomenon: same intrinsic origin ? (2000) Journal of Fluid Mechanics, vol. 4 . pp. 237-263. ISSN 0022-1120

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Official URL: http://journals.cambridge.org/action/displayAbstract?aid=53301

Abstract

The theoretical linear stability of a shock wave moving in an unlimited homogeneous environment has been widely studied during the last fifty years. Important results have been obtained by Dyakov (1954), Landau & Lifchitz (1959) and then by Swan & Fowles (1975) where the fluctuating quantities are written as normal modes. More recently, numerical studies on upwind finite difference schemes have shown some instabilities in the case of the motion of an inviscid perfect gas in a rectangular channel. The purpose of this paper is first to specify a mathematical formulation for the eigenmodes and to exhibit a new mode which was not found by the previous stability analysis of shock waves. Then, this mode is confirmed by numerical simulations which may lead to a new understanding of the so-called carbuncle phenomenon.

Item Type:Article
Additional Information:Thanks to Cambridge University Press. The original PDF can be found on the Cambridge University Press website : http://journals.cambridge.org/action/login
Audience (journal):International peer-reviewed journal
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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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