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Sibirskii Zhurnal Industrial'noi Matematiki, 2016, Volume 19, Number 2, Pages 61–73
DOI: https://doi.org/10.17377/sibjim.2016.19.206 (Mi sjim921) 		 
A factorization method for numerical solution of the Navier–Stokes equations of a incompressible viscous fluid

V. M. Kovenyaa, A. S. Kudryashovb

a Institute of Computational Technologies SB RAS, 6 Lavrent'ev av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova str., 630090 Novosibirsk
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DOI: https://doi.org/10.17377/sibjim.2016.19.206
Abstract: We propose an implicit differential scheme of approximate factorization for numerical solution of the Navier–Stokes equations of an incompressible fluid in curvilinear coordinates. The algorithm is tested on the solution of the problems for Couette and Poiseuille flows. The results are presented of numerical modeling of a flow between rotating covered cylinders.
Keywords: Navier–Stokes equations, incompressible fluid, difference scheme, splitting method.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00191
Received: 12.02.2015
English version:
Journal of Applied and Industrial Mathematics, 2016, Volume 10, Issue 2, Pages 232–242
DOI: https://doi.org/10.1134/S1990478916020083
Bibliographic databases:
Document Type: Article
UDC: 533.6
Language: Russian
Citation: V. M. Kovenya, A. S. Kudryashov, “A factorization method for numerical solution of the Navier–Stokes equations of a incompressible viscous fluid”, Sib. Zh. Ind. Mat., 19:2 (2016), 61–73; J. Appl. Industr. Math., 10:2 (2016), 232–242
Citation in format AMSBIB
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\paper A factorization method for numerical solution of the Navier--Stokes equations of a~incompressible viscous fluid
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\vol 19
\issue 2
\pages 61--73
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\jour J. Appl. Industr. Math.
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\pages 232--242
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    		Сибирский журнал индустриальной математики
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