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Zh. Vychisl. Mat. Mat. Fiz., 2016, Volume 56, Number 8, Pages 1491–1505 (Mi zvmmf10441)  

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

Numerical analysis of the dynamics of distributed vortex configurations

V. N. Govorukhin

Southern Federal University, Rostov-on-Don, Russia

Abstract: A numerical algorithm is proposed for analyzing the dynamics of distributed plane vortex configurations in an inviscid incompressible fluid. At every time step, the algorithm involves the computation of unsteady vortex flows, an analysis of the configuration structure with the help of heuristic criteria, the visualization of the distribution of marked particles and vorticity, the construction of streamlines of fluid particles, and the computation of the field of local Lyapunov exponents. The inviscid incompressible fluid dynamic equations are solved by applying a meshless vortex method. The algorithm is used to investigate the interaction of two and three identical distributed vortices with various initial positions in the flow region with and without the Coriolis force.

Key words: vortex dynamics, meshless numerical methods, fluid structures.

Funding Agency Grant Number
Russian Foundation for Basic Research 14-01-00470_а


DOI: https://doi.org/10.7868/S004446691608007X

Full text: PDF file (5270 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2016, 56:8, 1474–1487

Bibliographic databases:

UDC: 519.634
Received: 09.07.2015

Citation: V. N. Govorukhin, “Numerical analysis of the dynamics of distributed vortex configurations”, Zh. Vychisl. Mat. Mat. Fiz., 56:8 (2016), 1491–1505; Comput. Math. Math. Phys., 56:8 (2016), 1474–1487

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. N. Govorukhin, A. M. Filimonova, “Raschet ploskikh geofizicheskikh techenii nevyazkoi neszhimaemoi zhidkosti bessetochno-spektralnym metodom”, Kompyuternye issledovaniya i modelirovanie, 11:3 (2019), 413–426  mathnet  crossref
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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