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Matematicheskoe modelirovanie, 2011, Volume 23, Number 11, Pages 21–32 (Mi mm3173)  
This article is cited in 3 scientific papers (total in 3 papers)

Direct simulation of interacting vortex pairs

P. G. Yakovleva, S. A. Karabasovb, V. M. Golovizninc

a TsAGI Acoustics Branch, Moscow, Russia
b Cambridge University Engineering Department, Cambridge, UK
c Institute of Nuclear Safety RAS, Moscow, Russia
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Abstract: The coupled problem of dynamics and acoustics of two interacting vortex pairs is studied numerically for a range of Reynolds numbers, Re=5000–10000. The computations are performed on a Eulerian grid with the CABARET method. Two main integral characteristics of the vortex system, such as the period of vortex sleep through and the velocity of their centre of mass, as obtained from the computational solution, are compared with the analytical potential theory solution available for point vortices. Numerical grid sensitivity study is performed both for the hydrodynamic near-field and acoustic far-field solutions obtained.
Keywords: fluid dynamics, vortex interaction, acoustics, high-resolution computational methods, CABARET scheme.
Received: 14.02.2011
English version:
Mathematical Models and Computer Simulations, 2012, Volume 4, Issue 3, Pages 288–296
DOI: https://doi.org/10.1134/S207004821203009X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: P. G. Yakovlev, S. A. Karabasov, V. M. Goloviznin, “Direct simulation of interacting vortex pairs”, Matem. Mod., 23:11 (2011), 21–32; Math. Models Comput. Simul., 4:3 (2012), 288–296
Citation in format AMSBIB
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\by P.~G.~Yakovlev, S.~A.~Karabasov, V.~M.~Goloviznin
\paper Direct simulation of interacting vortex pairs
\jour Matem. Mod.
\yr 2011
\vol 23
\issue 11
\pages 21--32
\mathnet{http://mi.mathnet.ru/mm3173}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2975904}
\transl
\jour Math. Models Comput. Simul.
\yr 2012
\vol 4
\issue 3
\pages 288--296
\crossref{https://doi.org/10.1134/S207004821203009X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928987382}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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