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Zh. Vychisl. Mat. Mat. Fiz., 2009, Volume 49, Number 11, Pages 1953–1969 (Mi zvmmf4782)  

This article is cited in 8 scientific papers (total in 8 papers)

Numerical analysis of a quasi-gasdynamic algorithm as applied to the Euler equations

T. G. Elizarova, E. V. Shilnikov

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

Abstract: The computational properties of a quasi-gasdynamic algorithm are analyzed as applied to strong-shock Riemann problems and acoustic disturbance propagation. It is shown that a unified treatment can be given to these problems in the framework of the algorithm. Stability conditions are numerically obtained, and the error and computational complexity of the difference scheme are estimated.

Key words: quasi-gasdynamic algorithm, accuracy, stability, computational complexity, Riemann problem, acoustic disturbances, Euler equations.

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English version:
Computational Mathematics and Mathematical Physics, 2009, 49:11, 1869–1884

Bibliographic databases:

UDC: 519.634
Received: 19.01.2009
Revised: 02.02.2009

Citation: T. G. Elizarova, E. V. Shilnikov, “Numerical analysis of a quasi-gasdynamic algorithm as applied to the Euler equations”, Zh. Vychisl. Mat. Mat. Fiz., 49:11 (2009), 1953–1969; Comput. Math. Math. Phys., 49:11 (2009), 1869–1884

Citation in format AMSBIB
\by T.~G.~Elizarova, E.~V.~Shilnikov
\paper Numerical analysis of a~quasi-gasdynamic algorithm as applied to the Euler equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2009
\vol 49
\issue 11
\pages 1953--1969
\jour Comput. Math. Math. Phys.
\yr 2009
\vol 49
\issue 11
\pages 1869--1884

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    This publication is cited in the following articles:
    1. A. A. Davydov, B. N. Chetverushkin, E. V. Shilnikov, “Simulating flows of incompressible and weakly compressible fluids on multicore hybrid computer systems”, Comput. Math. Math. Phys., 50:12 (2010), 2157–2165  mathnet  crossref  adsnasa
    2. T. G. Elizarova, S. D. Ustyugov, “Kvazigazodinamicheskii algoritm resheniya uravnenii magnitnoi gidrodinamiki. Odnomernyi sluchai”, Preprinty IPM im. M. V. Keldysha, 2011, 001, 20 pp.  mathnet
    3. 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  mathscinet  zmath  isi  elib  elib  scopus
    4. 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
    5. Chetverushkin B.N., Shilnikov E.V., Davydov A.A., “Numerical Simulation of the Continuous Media Problems on Hybrid Computer Systems”, Adv. Eng. Softw., 60-61 (2013), 42–47  crossref  isi  scopus
    6. E. V. Shilnikov, “Modelirovanie techenii vyazkogo gaza na osnove KGD sistemy uravnenii na neortogonalnykh indeksnykh setkakh”, Preprinty IPM im. M. V. Keldysha, 2014, 033, 20 pp.  mathnet
    7. 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
    8. 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  elib
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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