RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
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


Zh. Vychisl. Mat. Mat. Fiz., 2009, Volume 49, Number 3, Pages 549–566 (Mi zvmmf30)  

This article is cited in 14 scientific papers (total in 14 papers)

Capabilities of a quasi-gasdynamic algorithm as applied to inviscid gas flow simulation

T. G. Elizarova, E. V. Shilnikov

Institute for Mathematical Modeling, Russian Academy of Sciences, Miusskaya pl. 4a, Moscow, 125047, Russia

Abstract: Ten well-known one-dimensional test problems reflecting the characteristic features of unsteady inviscid gas flows are successfully solved by a unified numerical algorithm based on the quasigasdynamic system of equations. In all the cases, the numerical solution converges to a self-similar one as the spatial grid is refined.

Key words: quasi-gasdynamic algorithm, Euler equations, one-dimensional flows.

Full text: PDF file (1463 kB)
References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 2009, 49:3, 532–548

Bibliographic databases:

Document Type: Article
UDC: 519.634
Received: 12.08.2008
Revised: 16.09.2008

Citation: T. G. Elizarova, E. V. Shilnikov, “Capabilities of a quasi-gasdynamic algorithm as applied to inviscid gas flow simulation”, Zh. Vychisl. Mat. Mat. Fiz., 49:3 (2009), 549–566; Comput. Math. Math. Phys., 49:3 (2009), 532–548

Citation in format AMSBIB
\Bibitem{EliShi09}
\by T.~G.~Elizarova, E.~V.~Shilnikov
\paper Capabilities of a~quasi-gasdynamic algorithm as applied to inviscid gas flow simulation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2009
\vol 49
\issue 3
\pages 549--566
\mathnet{http://mi.mathnet.ru/zvmmf30}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2559800}
\transl
\jour Comput. Math. Math. Phys.
\yr 2009
\vol 49
\issue 3
\pages 532--548
\crossref{https://doi.org/10.1134/S0965542509030142}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000264922900014}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-64249083662}


Linking options:
  • http://mi.mathnet.ru/eng/zvmmf30
  • http://mi.mathnet.ru/eng/zvmmf/v49/i3/p549

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles
    Erratum

    This publication is cited in the following articles:
    1. T. G. Elizarova, E. V. Shilnikov, “Numerical analysis of a quasi-gasdynamic algorithm as applied to the Euler equations”, Comput. Math. Math. Phys., 49:11 (2009), 1869–1884  mathnet  crossref  isi
    2. Elizarova T.G., Bulatov O.V., “Numerical simulation of gas flows on the basis of quasi-hydrodynamic equations”, Moscow University Physics Bulletin, 64:6 (2009), 589–593  crossref  zmath  adsnasa  isi  elib  scopus
    3. S. A. Karabasov, “On the power of second-order accurate numerical methods for model problems of gas- and hydrodynamics”, Math. Models Comput. Simul., 3:1 (2011), 92–112  mathnet  crossref
    4. Elizarova T.G., Bulatov O.V., “Regularized shallow water equations and a new method of numerical simulation of the open channel flows”, Computers & Fluids, 46:1 (2011), 206–211  crossref  zmath  isi  scopus
    5. Zlotnik A., Gavrilin V., “On quasi-gasdynamic system of equations with general equations of state and its application”, Math. Model. Anal., 16:4 (2011), 509–526  crossref  mathscinet  zmath  isi  elib  scopus
    6. Zlotnik A.A., “Spatial discretization of one-dimensional quasi-gasdynamic systems of equations and the entropy and energy balance equations”, Dokl. Math., 86:1 (2012), 464–468  crossref  mathscinet  zmath  isi  elib  elib  scopus
    7. M. N. Mikhailovskaya, B. V. Rogov, “Monotone compact running schemes for systems of hyperbolic equations”, Comput. Math. Math. Phys., 52:4 (2012), 672–695  mathnet  crossref  mathscinet  isi  elib  elib
    8. A. A. Zlotnik, “Spatial discretization of the one-dimensional quasi-gasdynamic system of equations and the entropy balance equation”, Comput. Math. Math. Phys., 52:7 (2012), 1060–1071  mathnet  crossref  mathscinet  adsnasa  isi  elib  elib
    9. V. A. Gavrilin, A. A. Zlotnik, “On spatial discretization of the one-dimensional quasi-gasdynamic system of equations with general equations of state and entropy balance”, Comput. Math. Math. Phys., 55:2 (2015), 264–281  mathnet  crossref  crossref  mathscinet  isi  elib  elib
    10. Popov M.V. Elizarova T.G., “Smoothed Mhd Equations For Numerical Simulations of Ideal Quasi-Neutral Gas Dynamic Flows”, Comput. Phys. Commun., 196 (2015), 348–361  crossref  zmath  isi  elib  scopus
    11. D. V. Sadin, “Skhemy s nastraivaemymi dissipativnymi svoistvami dlya chislennogo modelirovaniya techenii gaza i gazovzvesei”, Matem. modelirovanie, 29:12 (2017), 89–104  mathnet  elib
    12. Bulat P.V., Volkov K.N., “Model Gas-Dynamical Problems Possessing Cylindrical and Spherical Symmetry and Their Solution With the Aid of Weno Schemes”, J. Eng. Phys. Thermophys., 90:2 (2017), 412–422  crossref  isi  scopus
    13. M. A. Istomina, “O realizatsii odnomernogo kvazigazodinamicheskogo algoritma v otkrytom programmnom komplekse OpenFOAM”, Preprinty IPM im. M. V. Keldysha, 2018, 001, 19 pp.  mathnet  crossref
    14. Kraposhin M.V. Smirnova E.V. Elizarova T.G. Istomina M.A., “Development of a New Openfoam Solver Using Regularized Gas Dynamic Equations”, Comput. Fluids, 166 (2018), 163–175  crossref  mathscinet  zmath  isi  scopus
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Number of views:
    This page:234
    Full text:88
    References:26
    First page:9

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019