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Matem. Mod., 2013, Volume 25, Number 4, Pages 96–101 (Mi mm3355)  

This article is cited in 2 scientific papers (total in 2 papers)

Equivalent numerical schemes for the first and second order gas dynamics equations

N. S. Bochkarev

SRC RF TRINITI

Abstract: In the paper on the example of explicit scheme for the system of second order gas dynamics nonlinear wave equations (NWE) equivalent scheme for the system of first order gas dynamics equations (GDE) is constructed. Equivalent schemes have great value to obtain initial data for NWE-schemes and for the investigation of their numerical properties.

Keywords: Lagrange variables, gas dynamics equations, nonlinear wave equations, finite difference schemes, particles and points methods.

Full text: PDF file (248 kB)
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English version:
Mathematical Models and Computer Simulations, 2013, 5:6, 534–537

Bibliographic databases:

UDC: 519.711.3
Received: 14.12.2012

Citation: N. S. Bochkarev, “Equivalent numerical schemes for the first and second order gas dynamics equations”, Matem. Mod., 25:4 (2013), 96–101; Math. Models Comput. Simul., 5:6 (2013), 534–537

Citation in format AMSBIB
\Bibitem{Boc13}
\by N.~S.~Bochkarev
\paper Equivalent numerical schemes for the first and second order gas dynamics equations
\jour Matem. Mod.
\yr 2013
\vol 25
\issue 4
\pages 96--101
\mathnet{http://mi.mathnet.ru/mm3355}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3114888}
\transl
\jour Math. Models Comput. Simul.
\yr 2013
\vol 5
\issue 6
\pages 534--537
\crossref{https://doi.org/10.1134/S2070048213060045}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929088064}


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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. A. V. Herreinstein, N. S. Midonocheva, N. Mashrabov, “Piston motion mathematical model in the tube influenced by burning gas”, 2017 International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM), IEEE, 2017  isi
    2. N. S. Midonocheva, “Computation of parameters of the piston motion in the tube under the gas pressure”, J. Comp. Eng. Math., 5:1 (2018), 41–50  mathnet  crossref  mathscinet  elib
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