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Zh. Vychisl. Mat. Mat. Fiz., 2015, Volume 55, Number 10, Pages 1773–1782 (Mi zvmmf10290)  

This article is cited in 6 scientific papers (total in 6 papers)

Numerical study of a quasi-hydrodynamic system of equations for flow computation at small mach numbers

V. A. Balashov, E. B. Savenkov

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia

Abstract: The applicability of numerical algorithms based on a quasi-hydrodynamic system of equations for computing viscous heat-conducting compressible gas flows at Mach numbers $\mathrm{M}=10^{-2}$$10^{-1}$ is studied numerically. The numerical algorithm is briefly described, and the results obtained for a number of two- and three-dimensional test problems are presented and compared with earlier numerical data.

Key words: quasi-hydrodynamic system of equations, weakly compressible flows, Navier–Stokes equations, finite difference methods.

Funding Agency Grant Number
Russian Science Foundation 14-11-00549


DOI: https://doi.org/10.7868/S0044466915100063

Full text: PDF file (623 kB)
References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 2015, 55:10, 1743–1751

Bibliographic databases:

UDC: 519.634
Received: 20.01.2015
Revised: 03.02.2015

Citation: V. A. Balashov, E. B. Savenkov, “Numerical study of a quasi-hydrodynamic system of equations for flow computation at small mach numbers”, Zh. Vychisl. Mat. Mat. Fiz., 55:10 (2015), 1773–1782; Comput. Math. Math. Phys., 55:10 (2015), 1743–1751

Citation in format AMSBIB
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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. V. A. Balashov, E. B. Savenkov, “Primenenie kvazigidrodinamicheskoi sistemy uravnenii dlya pryamogo modelirovaniya techenii v mikroobraztsakh gornykh porod”, Preprinty IPM im. M. V. Keldysha, 2015, 084, 20 pp.  mathnet
    2. V. E. Borisov, A. A. Kuleshov, E. B. Savenkov, S. E. Yakush, “Programmnyi kompleks TCS 3D: vychislitelnaya model”, Preprinty IPM im. M. V. Keldysha, 2015, 110, 20 pp.  mathnet
    3. V. V. Grigoreva, Yu. V. Sheretov, “Uproschennaya kvazigidrodinamicheskaya model medlennykh techenii szhimaemogo vyazkogo teploprovodnogo gaza”, Vestnik TvGU. Seriya: Prikladnaya matematika, 2016, no. 3, 5–17  mathnet  crossref  elib
    4. Paul S., Mondal S.P., Bhattacharya P., Chaudhuri K., “Some Comparison of Solutions by Different Numerical Techniques on Mathematical Biology Problem”, Int. J. Differ. Equat., 2016, 8921710  crossref  mathscinet  isi  scopus
    5. Balashov V.A., Savenkov E.B., Kuleshov A.A., “Direct numerical simulation of a fluid flow in core samples based on quasi-hydrodynamic equations”, International Conference of Computational Methods in Sciences and Engineering 2016 (ICCMSE 2016) (Athens, Greece, 17–20 March 2016), AIP Conference Proceedings, 1790, eds. Simos T., Kalogiratou Z., Monovasilis T., Amer Inst Physics, 2016, UNSP 150006  crossref  isi  scopus
    6. I. B. Petrov, “Problemy modelirovaniya prirodnykh i antropogennykh protsessov v Arkticheskoi zone Rossiiskoi Federatsii”, Matem. modelirovanie, 30:7 (2018), 103–136  mathnet
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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