Abstract:
In the paper the results of applying the implicit line-by-line recurrence method for solving of systems of elliptic difference equations, arising, in particular, at numerical simulation of dynamics ofincompressible viscous fluid are considered. Research is conducted on the example of the problem about asteady-state two-dimensional lid-driven cavity flow formulated in primitive variables ( u , v , p ) for large Re (up to20 000) and grids (up to 2049×2049). High efficiency of the method at calculation of a pressure correction fieldsis demonstrated. The difficulties of constructing a solution of the problem for large Rе are analyzed.
Keywords:
a lid-driven cavity flow, Navier-Stokes equations, numerical methods for SLAE solving.
Received: 08.11.2014
Document Type:
Article
UDC:
519.632.4:532.516.4
Language: Russian
Citation:
A. A. Fomin, L. N. Fomina, “The implicit line-by-line recurrence method in application to the solutionof problems of incompressible viscous fluid dynamics”, Computer Research and Modeling, 7:1 (2015), 35–50
\Bibitem{FomFom15}
\by A.~A.~Fomin, L.~N.~Fomina
\paper The implicit line-by-line recurrence method in application to the solutionof problems of incompressible viscous fluid dynamics
\jour Computer Research and Modeling
\yr 2015
\vol 7
\issue 1
\pages 35--50
\mathnet{http://mi.mathnet.ru/crm166}
\crossref{https://doi.org/10.20537/2076-7633-2015-7-1-35-50}
Linking options:
https://www.mathnet.ru/eng/crm166
https://www.mathnet.ru/eng/crm/v7/i1/p35
This publication is cited in the following 4 articles:
A. A. Fomin, L. N. Fomina, “Effect of buoyancy force on mixed convection of a variable density fluid in a square lid-driven cavity”, Kompyuternye issledovaniya i modelirovanie, 12:3 (2020), 575–595
A. A. Fomin, L. N. Fomina, “O skhodimosti neyavnogo iteratsionnogo polineinogo rekurrentnogo metoda resheniya sistem raznostnykh ellipticheskikh uravnenii”, Kompyuternye issledovaniya i modelirovanie, 9:6 (2017), 857–880
A. A. Fomin, L. N. Fomina, “O statsionarnom reshenii zadachi techeniya neszhimaemoi vyazkoi zhidkosti pri bolshikh chislakh Reinoldsa”, Mat. modelir. i chisl. metody, 2015, no. 8, 92–109
A. A. Fomin, L. N. Fomina, “Chislennoe modelirovanie techeniya vyazkoi neszhimaemoi zhidkosti i teploobmena v ploskom kanale s obratnym ustupom”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 25:2 (2015), 280–294
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