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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2010, Issue 1, Pages 146–155 (Mi vuu176)  
COMPUTER SCIENCE

Method of discrete vortices in statistical vortex dynamics as a paradigm of computer methods of analysis

I. S. Mamaev

Institute of Computer Science
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Abstract: With the help of mathematical modelling, we study the dynamics of many point vortices system on the plane. For this system, we consider the following cases:
  • vortex rings with outer radius $r=1$ and variable inner radius $r_0$,
  • vortex ellipses with semiaxes $a$, $b$.
    • Keywords: vortex dynamics, point vortex, hydrodynamics, asymptotic behavior.
    Received: 21.10.2009
    Document Type: Article
    UDC: 532.527, 532.5.013.4, 004.94
    MSC: 76E07, 76E09,76B47, 68U20
    Language: Russian
    Citation: I. S. Mamaev, “Method of discrete vortices in statistical vortex dynamics as a paradigm of computer methods of analysis”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 1, 146–155
    Citation in format AMSBIB
    \Bibitem{Mam10}
    \by I.~S.~Mamaev
    \paper Method of discrete vortices in statistical vortex dynamics as a~paradigm of computer methods of analysis
    \jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
    \yr 2010
    \issue 1
    \pages 146--155
    \mathnet{http://mi.mathnet.ru/vuu176}
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  • https://www.mathnet.ru/eng/vuu176
  • https://www.mathnet.ru/eng/vuu/y2010/i1/p146
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