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Matem. Mod., 2001, Volume 13, Number 4, Pages 47–57 (Mi mm703)  

This article is cited in 4 scientific papers (total in 4 papers)

Kinetically consistent difference schemes and quasi-gas-dynamic model for dense gas and liquid flows

L. W. Dorodnicyna, B. N. Chetverushkinb, N. G. Churbanovab

a M. V. Lomonosov Moscow State University
b Institute for Mathematical Modelling, Russian Academy of Sciences

Abstract: A new approach to simulation of flows in dense gases and liquids is stated. The macroscopic equations and finite-difference schemes are constructed based on the Enskog kinetic model for dense gases, which is analogous to the Boltzmann equation. The technique is applied to computations of an isothermic low-Mach-number flow in a twodimensional cavity with the moving top.

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Received: 24.03.2000

Citation: L. W. Dorodnicyn, B. N. Chetverushkin, N. G. Churbanova, “Kinetically consistent difference schemes and quasi-gas-dynamic model for dense gas and liquid flows”, Matem. Mod., 13:4 (2001), 47–57

Citation in format AMSBIB
\Bibitem{DorCheChu01}
\by L.~W.~Dorodnicyn, B.~N.~Chetverushkin, N.~G.~Churbanova
\paper Kinetically consistent difference schemes and quasi-gas-dynamic model for dense gas and liquid flows
\jour Matem. Mod.
\yr 2001
\vol 13
\issue 4
\pages 47--57
\mathnet{http://mi.mathnet.ru/mm703}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1861579}
\zmath{https://zbmath.org/?q=an:1052.76044}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. L. V. Dorodnitsyn, “Entropiinaya teorema dlya semeistva kvazigazodinamicheskikh sistem uravnenii”, Matem. modelirovanie, 14:11 (2002), 3–9  mathnet  mathscinet  zmath
    2. M. A. Trapeznikova, M. S. Belotserkovskaya, B. N. Chetverushkin, “Analog kineticheski-soglasovannykh skhem dlya modelirovaniya zadachi filtratsii”, Matem. modelirovanie, 14:10 (2002), 69–76  mathnet  mathscinet  zmath
    3. L. V. Dorodnitsyn, B. N. Chetverushkin, “Ob odnom variante kvazigazodinamicheskoi sistemy uravnenii”, Matem. modelirovanie, 15:1 (2003), 78–86  mathnet  mathscinet  zmath
    4. L. W. Dorodnicyn, “On stability of small oscillations in a quasi-dynamic system of equations”, Comput. Math. Math. Phys., 44:7 (2004), 1231–1237  mathnet  mathscinet  zmath
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