Loading [MathJax]/jax/output/SVG/config.js
Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 8, Pages 1491–1505
DOI: https://doi.org/10.7868/S004446691608007X (Mi zvmmf10441) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Numerical analysis of the dynamics of distributed vortex configurations

V. N. Govorukhin

Southern Federal University, Rostov-on-Don, Russia
Full-text PDF (5270 kB) Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.7868/S004446691608007X
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
Received: 09.07.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 8, Pages 1474–1487
DOI: https://doi.org/10.1134/S0965542516080078
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
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
\Bibitem{Gov16}
\by V.~N.~Govorukhin
\paper Numerical analysis of the dynamics of distributed vortex configurations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2016
\vol 56
\issue 8
\pages 1491--1505
\mathnet{http://mi.mathnet.ru/zvmmf10441}
\crossref{https://doi.org/10.7868/S004446691608007X}
\elib{https://elibrary.ru/item.asp?id=26498075}
\transl
\jour Comput. Math. Math. Phys.
\yr 2016
\vol 56
\issue 8
\pages 1474--1487
\crossref{https://doi.org/10.1134/S0965542516080078}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000383026600010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84985905550}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10441
  • https://www.mathnet.ru/eng/zvmmf/v56/i8/p1491
    • This publication is cited in the following 7 articles:
    1. F. A. Maksimov, V. O. Nigmatullin, “Metod gibridnykh setok v zadachakh vneshnei i vnutrennei gazovoi dinamiki”, Kompyuternye issledovaniya i modelirovanie, 15:3 (2023), 543–565  mathnet  crossref
    2. V. N. Govorukhin, “Algoritm identifikatsii vikhrei po vektoram skorosti techeniya na osnove prosteishei matematicheskoi modeli vikhrevoi dinamiki”, Kompyuternye issledovaniya i modelirovanie, 15:6 (2023), 1477–1493  mathnet  crossref
    3. V. N. Govorukhin, “Identifikatsiya i prognoz dinamiki ploskoi vikhrevoi struktury na osnove matematicheskoi modeli sistemy tochechnykh vikhrei”, Izvestiya vuzov. PND, 31:6 (2023), 710–726  mathnet  crossref
    4. Vasily N. Govorukhin, “An extended and improved particle‐spectral method for analysis of unsteady inviscid incompressible flows through a channel of finite length”, Numerical Methods in Fluids, 95:4 (2023), 579  crossref
    5. V.N. Govorukhin, A.M. Filimonova, “Analysis of the structure of vortex planar flows and their changes with time”, Comp. Contin. Mech., 14:4 (2021), 367  crossref
    6. 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
    7. A. M. Filimonova, “Dinamika i advektsiya v vikhrevom parkete”, Izvestiya vuzov. PND, 27:4 (2019), 71–84  mathnet  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:273
    Full-text PDF :82
    References:57
    First page:12
     
      Contact us:
    math-net2025_03@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025