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Preprints of the Keldysh Institute of Applied Mathematics, 2018, 129, 27 pp.
DOI: https://doi.org/10.20948/prepr-2018-129
(Mi ipmp2488)
 

This article is cited in 1 scientific paper (total in 1 paper)

Asymptotic boundary conditions for the analysis of hydrodynamic stability of flows in regions with open boundaries

A. V. Boiko, K. V. Demyanko, Yu. M. Nechepurenko
Full-text PDF (577 kB) Citations (1)
References:
Abstract: A new approach to formulation of asymptotic boundary conditions for eigenvalue problems arising in numerical analysis of hydrodynamic stability of such shear flows as boundary layers, separations, jets, wakes, characterized by almost constant velocity of the main flow outside the shear layer or layers is proposed and justified. This approach makes it possible to formulate and solve completely the temporal and spatial stability problems in the locally parallel formulation, reducing them to the ordinary algebraic eigenvalue problems.
Keywords: evolution equations of small disturbances, linearized Navier–Stokes equations, hydrodynamic stability, boundary layer, asymptotic boundary conditions.
Funding agency Grant number
Russian Science Foundation 14-21-00025
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: A. V. Boiko, K. V. Demyanko, Yu. M. Nechepurenko, “Asymptotic boundary conditions for the analysis of hydrodynamic stability of flows in regions with open boundaries”, Keldysh Institute preprints, 2018, 129, 27 pp.
Citation in format AMSBIB
\Bibitem{BoiDemNec18}
\by A.~V.~Boiko, K.~V.~Demyanko, Yu.~M.~Nechepurenko
\paper Asymptotic boundary conditions for the analysis of hydrodynamic stability of flows in regions with open boundaries
\jour Keldysh Institute preprints
\yr 2018
\papernumber 129
\totalpages 27
\mathnet{http://mi.mathnet.ru/ipmp2488}
\crossref{https://doi.org/10.20948/prepr-2018-129}
\elib{https://elibrary.ru/item.asp?id=35198950}
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  • https://www.mathnet.ru/eng/ipmp/y2018/p129
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
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    Full-text PDF :73
    References:24
     
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