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A matrix stability analysis of the carbuncle phenomenon

Dumbser, Michaël and Moschetta, Jean-Marc and Gressier, Jérémie A matrix stability analysis of the carbuncle phenomenon. (2004) Journal of Computational Physics, 1 (2). 647-670. ISSN 0021-9991

(Document in English)

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Official URL: http://dx.doi.org/10.1016/j.jcp.2003.12.013


The carbuncle phenomenon is a shock instability mechanism which ruins all efforts to compute grid-aligned shock waves using low-dissipative upwind schemes. The present study develops a stability analysis for two-dimensional steady shocks on structured meshes based on the matrix method. The numerical resolution of the corresponding eigenvalue problem confirms the typical odd–even form of the unstable mode and displays a Mach number threshold effect currently observed in computations. Furthermore, the present method indicates that the instability of steady shocks is not only governed by the upstream Mach number but also by the numerical shock structure. Finally, the source of the instability is localized in the upstream region, providing some clues to better understand and control the onset of the carbuncle.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at http://www.sciencedirect.com The original PDF of the article can be found at Journal of Computational Physics website: http://www.sciencedirect.com/science/journal/00219991
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
French research institutions > Office National d'Etudes et Recherches Aérospatiales - ONERA (FRANCE)
Other partners > Universität Stuttgart (GERMANY)
Laboratory name:
Deposited On:23 Apr 2009 14:50

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