This article is cited in 7 papers

Numerical solution to initial value problems for the Navier–Stokes equations in closed regions based on splitting method

A. F. Voevodin, T. V. Yushkova

M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk

Abstract: On the basis of splitting method with respect to physical processes, a numerical method is proposed for solving initial value problems for the Navier– Stokes equations written in the terms of “eddy – current” variables. For the solution to the implicit difference systems a modified method of “two-field” (separate) calculation of the stream function and vorticite is suggested. For the first time in solving the Poisson equation for stream function two boundary conditions are simultaneously used on the boundaries ($\psi=\partial\psi/\partial n=0)$. A stability analysis in the linear approach is made. Some test numerical examples are given.

UDC: 519.635.8:532.516

Received: 11.03.1999
Revised: 18.05.1999

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