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, 2015, Volume 55, Number 8, Pages 1391–1404
DOI: https://doi.org/10.7868/S0044466915080025 (Mi zvmmf10253) 		 
The Riemann problem in the quasi-one-dimensional approximation

M. V. Abakumova, Yu. P. Popovb, P. V. Rodionova

a Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, 119991, Russia
b Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia
Full-text PDF (341 kB)
References:
PDF
HTML
DOI: https://doi.org/10.7868/S0044466915080025
Abstract: The classical one-dimensional Riemann problem is generalized to the quasi-one-dimensional case. A plane slotted channel with a discontinuous cross section is considered. The resulting exact self-similar solution is compared with numerical results obtained for a system of quasi-onedimensional and two-dimensional equations. It is shown that they are in good qualitative agreement and, for certain parameters, also agree well quantitatively.
Key words: Riemann problem, quasi-one-dimensional approximation, flow in channels of variable cross section, self-similar solution, computational gas dynamics.
Received: 26.02.2015
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 8, Pages 1356–1369
DOI: https://doi.org/10.1134/S0965542515080023
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: M. V. Abakumov, Yu. P. Popov, P. V. Rodionov, “The Riemann problem in the quasi-one-dimensional approximation”, Zh. Vychisl. Mat. Mat. Fiz., 55:8 (2015), 1391–1404; Comput. Math. Math. Phys., 55:8 (2015), 1356–1369
Citation in format AMSBIB
\Bibitem{AbaPopRod15}
\by M.~V.~Abakumov, Yu.~P.~Popov, P.~V.~Rodionov
\paper The Riemann problem in the quasi-one-dimensional approximation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2015
\vol 55
\issue 8
\pages 1391--1404
\mathnet{http://mi.mathnet.ru/zvmmf10253}
\crossref{https://doi.org/10.7868/S0044466915080025}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3386166}
\elib{https://elibrary.ru/item.asp?id=23908476}
\transl
\jour Comput. Math. Math. Phys.
\yr 2015
\vol 55
\issue 8
\pages 1356--1369
\crossref{https://doi.org/10.1134/S0965542515080023}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000360069100011}
\elib{https://elibrary.ru/item.asp?id=24942513}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84940207549}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10253
  • https://www.mathnet.ru/eng/zvmmf/v55/i8/p1391
    • 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:396
    Full-text PDF :335
    References:70
    First page:15
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024