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Matematicheskoe modelirovanie, 2017, Volume 29, Number 6, Pages 35–47 (Mi mm3856)  
This article is cited in 1 scientific paper (total in 1 paper)

On the 18th and 22nd order differential schemes for the equations with convective and diffusion terms

A. D. Savel'ev

Dorodnicyn Computing Centre of Russian Academy of Sciences
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Abstract: The differential schemes of 18th and 22nd order for the convective and diffusion terms of partial differential equations are presented. The main estimated area of application for these schemes are the modeling of turbulence, vortex formation, aero acoustics. The properties of these compact differences are analyzed. Results of calculations of the isolated vortex instability and the formation of the subsonic turbulent coaxial jet are given.
Keywords: numerical simulation, high-accuracy compact schemes, Navier–Stokes equations, isolated vortex instability, subsonic turbulent jet.
Funding agency Grant number
Russian Science Foundation 14-11-00775
Received: 17.03.2015
Revised: 15.09.2016
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. D. Savel'ev, “On the 18th and 22nd order differential schemes for the equations with convective and diffusion terms”, Matem. Mod., 29:6 (2017), 35–47
Citation in format AMSBIB
\Bibitem{Sav17}
\by A.~D.~Savel'ev
\paper On the 18th and 22nd order differential schemes for the equations with convective and diffusion terms
\jour Matem. Mod.
\yr 2017
\vol 29
\issue 6
\pages 35--47
\mathnet{http://mi.mathnet.ru/mm3856}
\elib{https://elibrary.ru/item.asp?id=29207726}
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  • https://www.mathnet.ru/eng/mm/v29/i6/p35
    • This publication is cited in the following 1 articles:
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