Abstract:
The structure of the internal dissipation terms in composite compact schemes intended for gasdynamic simulation is considered. The main cause of the insufficient stability of high-order accurate schemes is indicated. A method for controlling the dissipative properties of schemes is proposed that makes it possible to compute compressible gas flows with strong shock waves. The supersonic turbulent unsteady flow past a two-dimensional cavity directed toward the stream is computed.
Key words:
high-order accurate compact schemes, dissipative properties of difference operators, turbulent viscous gas flows.
\Bibitem{Sav09}
\by A.~D.~Savel'ev
\paper On the structure of internal dissipation of composite compact schemes for gasdynamic simulation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2009
\vol 49
\issue 12
\pages 2232--2246
\mathnet{http://mi.mathnet.ru/zvmmf4802}
\transl
\jour Comput. Math. Math. Phys.
\yr 2009
\vol 49
\issue 12
\pages 2135--2148
\crossref{https://doi.org/10.1134/S0965542509120124}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000272968700012}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-74549156343}
Linking options:
https://www.mathnet.ru/eng/zvmmf4802
https://www.mathnet.ru/eng/zvmmf/v49/i12/p2232
This publication is cited in the following 7 articles:
A. D. Savel'ev, “Numerical simulation of unsteady subsonic viscous gas flows based on high-order composite compact schemes”, Comput. Math. Math. Phys., 61:2 (2021), 267–287
A. D. Savelev, “O raznostnykh skhemakh 18-go i 22-go poryadkov dlya uravnenii s konvektivnymi i diffuznymi chlenami”, Matem. modelirovanie, 29:6 (2017), 35–47
A. D. Savel'ev, “Numerical simulation of the hypersonic flow above the aircraft at the high-altitude active movement”, Math. Models Comput. Simul., 10:2 (2018), 218–225
A. D. Savel'ev, “Multioperator representation of composite compact schemes”, Comput. Math. Math. Phys., 54:10 (2014), 1522–1535
A. D. Savel'ev, “The use of high-order composite compact schemes for computing supersonic jet interaction with a surface”, Comput. Math. Math. Phys., 53:10 (2013), 1558–1570
A. D. Savel'ev, “Applications of high order differenses in aerodynamical simulations”, Math. Models Comput. Simul., 4:6 (2012), 541–551
Citation in format AMSBIB
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