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Matematicheskoe modelirovanie, 2017, Volume 29, Number 1, Pages 63–83 (Mi mm3807)  
Using high-accuracy aeroacoustic schemes on regular grids for simulation of viscous flows

A. V. Alexandrovab, L. W. Dorodnicync

a Keldysh Institute for Applied Mathematics RAS, Moscow
b National Research Nuclear University "MEPhI", Moscow
c Lomonosov Moscow State University, Moscow
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Abstract: In the present study the high-accuracy finite-difference schemes which are widely used in computational aeroacoustics and referred to as dispersion-relation-preserving (DRP) schemes are implemented to simulation of viscous flows. The main result consists of the construction and verification of numerical boundary conditions. This includes conditions on a solid wall, on an artificial boundary, and an interface between them. A number of test problems have been calculated: a dissipation of the Lamb–Oseen vortex, the Taylor–Green vortex decay in both 2D and 3D, and plane channel flows in the infinite and semi-infinite (open outlet) cases.
Keywords: Navier–Stokes equations, nonreflecting boundary conditions, finite differences, dispersion-relation-preserving scheme, Poiseuille flow, Taylor–Green vortex.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-07911_а
Received: 05.09.2013
Revised: 30.03.2015
English version:
Mathematical Models and Computer Simulations, 2017, Volume 9, Issue 4, Pages 457–473
DOI: https://doi.org/10.1134/S2070048217040020
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Alexandrov, L. W. Dorodnicyn, “Using high-accuracy aeroacoustic schemes on regular grids for simulation of viscous flows”, Matem. Mod., 29:1 (2017), 63–83; Math. Models Comput. Simul., 9:4 (2017), 457–473
Citation in format AMSBIB
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\by A.~V.~Alexandrov, L.~W.~Dorodnicyn
\paper Using high-accuracy aeroacoustic schemes on regular grids for simulation of viscous flows
\jour Matem. Mod.
\yr 2017
\vol 29
\issue 1
\pages 63--83
\mathnet{http://mi.mathnet.ru/mm3807}
\elib{https://elibrary.ru/item.asp?id=28405093}
\transl
\jour Math. Models Comput. Simul.
\yr 2017
\vol 9
\issue 4
\pages 457--473
\crossref{https://doi.org/10.1134/S2070048217040020}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85024361911}
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    		Математическое моделирование
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