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The structural instability of transonic flow associated with amalgamation/splitting of supersonic regions

We study inviscid transonic flow in a channel with a bump modeling an airfoil at zero incidence. A few simple bump configurations are considered. Numerical simulations show the existence of singular free-stream Mach numbers, which trigger the splitting/amalgamation of local supersonic regions. An an...

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Bibliographic Details
Published in:Theoretical and computational fluid dynamics 2004-11, Vol.18 (5), p.335-344
Main Authors: Kuz'min, Alexander G, Ivanova, Alexandra V
Format: Article
Language:English
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Summary:We study inviscid transonic flow in a channel with a bump modeling an airfoil at zero incidence. A few simple bump configurations are considered. Numerical simulations show the existence of singular free-stream Mach numbers, which trigger the splitting/amalgamation of local supersonic regions. An analysis of this phenomenon contributes to the understanding of the nonuniqueness of transonic solutions at certain free-stream conditions. [PUBLICATION ABSTRACT]
ISSN:0935-4964
1432-2250
DOI:10.1007/s00162-004-0145-1