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Zh. Vychisl. Mat. Mat. Fiz., 2014, Volume 54, Number 10, Pages 1580–1593 (Mi zvmmf10096)  

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

Multioperator representation of composite compact schemes

A. D. Savel'ev

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

Abstract: The multioperator approach is used to obtain high-order accurate compact differences. These differences are developed to describe convective terms of differential equations, as well as mixed derivatives, source terms, and the coefficients of metric derivatives of coordinate transformations. The same principles are used to obtain high-order compact differences for representing diffusion terms. These differences underlie multioperator composite compact schemes, which are used to compute the flow past an airfoil by integrating the nonstationary Navier–Stokes equations supplemented with the equations of a turbulent viscosity model.

Key words: high-order compact schemes, multioperator approach, property of difference operators, numerical simulation, turbulent viscous gas flows, sound radiation of airfoil.

DOI: https://doi.org/10.7868/S0044466914040140

Full text: PDF file (686 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2014, 54:10, 1522–1535

Bibliographic databases:

UDC: 519.634
Received: 03.10.2013

Citation: A. D. Savel'ev, “Multioperator representation of composite compact schemes”, Zh. Vychisl. Mat. Mat. Fiz., 54:10 (2014), 1580–1593; Comput. Math. Math. Phys., 54:10 (2014), 1522–1535

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. 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  mathnet  elib
    2. A. D. Savel'ev, “High-order multioperator compact schemes for numerical simulation of unsteady subsonic airfoil flow”, Comput. Math. Math. Phys., 58:2 (2018), 274–285  mathnet  crossref  crossref  isi  elib
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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