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

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Abstract

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.

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Authors and Affiliations

  1. Institute for Mathematics and Mechanics, St. Petersburg State University, 28 University Ave., Petrodvorets, 198504, St. Petersburg, Russia

    Alexander G. Kuz’min

  2. Institute for Heat and Mass Transfer, National Academy of Sciences, 15 Peter Brovka St., 220072, Minsk, Belarus

    Alexandra V. Ivanova

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  1. Alexander G. Kuz’min
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  2. Alexandra V. Ivanova
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Correspondence to Alexander G. Kuz’min.

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P. Hall

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Kuz’min, A., Ivanova, A. The structural instability of transonic flow associated with amalgamation/splitting of supersonic regions. Theor. Comput. Fluid Dyn. 18, 335–344 (2004). https://doi.org/10.1007/s00162-004-0145-1

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  • DOI: https://doi.org/10.1007/s00162-004-0145-1

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