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.
Citation:
N. S. Bochkarev, “Equivalent numerical schemes for the first and second order gas dynamics equations”, Mat. Model., 25:4 (2013), 96–101; Math. Models Comput. Simul., 5:6 (2013), 534–537
\Bibitem{Boc13}
\by N.~S.~Bochkarev
\paper Equivalent numerical schemes for the first and second order gas dynamics equations
\jour Mat. Model.
\yr 2013
\vol 25
\issue 4
\pages 96--101
\mathnet{http://mi.mathnet.ru/mm3355}
\mathscinet{http://mathscinet.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}
Linking options:
https://www.mathnet.ru/eng/mm3355
https://www.mathnet.ru/eng/mm/v25/i4/p96
This publication is cited in the following 3 articles:
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
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
A. V. Herreinstein, N. S. Midonocheva, N. Mashrabov, 2017 International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM), 2017, 1
Citation in format AMSBIB
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