A factorization method for numerical solution of the Navier–Stokes equations for a viscous incompressible liquid


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Abstract

Some implicit difference scheme of approximate factorization is proposed for numerical solution of the Navier–Stokes equations for an incompressible liquid in curvilinear coordinates. Testing of the algorithm is carried out on the solution of the problems concerning the Couette and Poiseuille flows; and the results are presented of numerical simulation of a flow between the rotating cylinders with covers.

About the authors

V. M. Kovenya

Institute of Computational Technologies

Author for correspondence.
Email: kovenya@ict.nsc.ru
Russian Federation, pr. Akad. Lavrent’eva 6, Novosibirsk, 630090

A. S. Kudryashov

Novosibirsk State University

Email: kovenya@ict.nsc.ru
Russian Federation, ul. Pirogova 2, Novosibirsk, 630090


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