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, 2013, Volume 53, Number 6, Pages 1008–1026
DOI: https://doi.org/10.7868/S0044466913060057 (Mi zvmmf9847) 		 
This article is cited in 24 scientific papers (total in 24 papers)

Computation of a shock wave structure in monatomic gas with accuracy control

O. I. Dodulada, F. G. Tcheremissineb

a Moscow Institute of Physics and Technology (State University)
b Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow
Full-text PDF (510 kB) Citations (24)
References:
PDF
HTML
DOI: https://doi.org/10.7868/S0044466913060057
Abstract: The structure of a shock wave in a monatomic one-component gas was computed by solving the Boltzmann kinetic equation with accuracy controlled with respect to computational parameters. The hard-sphere molecular model and molecules with the Lennard-Jones potential were considered. The computations were performed in a wide range of Mach numbers with the accuracy no less than 3% for the shock front width and 1% for local values of density and temperature. The shock wave structure was studied in terms of macroscopic gas characteristics and in terms of the molecular velocity distribution function.
Key words: shock wave structure, Boltzmann equation, monatomic gas, numerical method with accuracy control.
Received: 29.02.2012
Revised: 20.01.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 6, Pages 827–844
DOI: https://doi.org/10.1134/S0965542513060055
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: O. I. Dodulad, F. G. Tcheremissine, “Computation of a shock wave structure in monatomic gas with accuracy control”, Zh. Vychisl. Mat. Mat. Fiz., 53:6 (2013), 1008–1026; Comput. Math. Math. Phys., 53:6 (2013), 827–844
Citation in format AMSBIB
\Bibitem{DodChe13}
\by O.~I.~Dodulad, F.~G.~Tcheremissine
\paper Computation of a shock wave structure in monatomic gas with accuracy control
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2013
\vol 53
\issue 6
\pages 1008--1026
\mathnet{http://mi.mathnet.ru/zvmmf9847}
\crossref{https://doi.org/10.7868/S0044466913060057}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3252916}
\elib{https://elibrary.ru/item.asp?id=19086242}
\transl
\jour Comput. Math. Math. Phys.
\yr 2013
\vol 53
\issue 6
\pages 827--844
\crossref{https://doi.org/10.1134/S0965542513060055}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000321070700014}
\elib{https://elibrary.ru/item.asp?id=20438551}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84879701473}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf9847
  • https://www.mathnet.ru/eng/zvmmf/v53/i6/p1008
    • This publication is cited in the following 24 articles:
    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:326
    Full-text PDF :95
    References:55
    First page:20
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024