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, 2011, Volume 51, Number 4, Pages 684–695 (Mi zvmmf9237)  
Numerical simulation of inviscid bubble dynamics in a centrally symmetric gravitational field

A. V. Vishnevskiia, A. M. Oparina, N. N. Fiminb, V. M. Chechetkinb

a Institute for Computer-Aided Design, Russian Academy of Sciences, ul. Vtoraya Brestskaya 19/18, Moscow, 123056 Russia
b Keldysh Institute for Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047 Russia
Full-text PDF (816 kB)
References:
PDF
HTML
Abstract: The motion of bubbles in a centrally symmetric gravitational field is numerically simulated using two-dimensional conservation laws (Euler equations). The dynamics of bubbles with various numbers of modes in the initial perturbation are studied. The numerical results reveal features that are substantially different from the plane case in a homogeneous gravitational field. Bubble perturbations nearly do not interact at the formation stage. The lowest modes are amplified in the course of the bubble evolution.
Key words: numerical simulation of gas bubble dynamics, Rayleigh–Taylor instability, centrally symmetric gravitational field, Euler equation.
Received: 02.04.2007
Revised: 25.03.2010
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 4, Pages 637–649
DOI: https://doi.org/10.1134/S0965542511040178
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. V. Vishnevskii, A. M. Oparin, N. N. Fimin, V. M. Chechetkin, “Numerical simulation of inviscid bubble dynamics in a centrally symmetric gravitational field”, Zh. Vychisl. Mat. Mat. Fiz., 51:4 (2011), 684–695; Comput. Math. Math. Phys., 51:4 (2011), 637–649
Citation in format AMSBIB
\Bibitem{VisOpaFim11}
\by A.~V.~Vishnevskii, A.~M.~Oparin, N.~N.~Fimin, V.~M.~Chechetkin
\paper Numerical simulation of inviscid bubble dynamics in a~centrally symmetric gravitational field
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2011
\vol 51
\issue 4
\pages 684--695
\mathnet{http://mi.mathnet.ru/zvmmf9237}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2858630}
\transl
\jour Comput. Math. Math. Phys.
\yr 2011
\vol 51
\issue 4
\pages 637--649
\crossref{https://doi.org/10.1134/S0965542511040178}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000290035800013}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79955586956}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf9237
  • https://www.mathnet.ru/eng/zvmmf/v51/i4/p684
    • 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:322
    Full-text PDF :91
    References:59
    First page:7
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024