International Conference «Mathematical and Informational Technologies, MIT-2011»
(IX Conference «Computational and Informational Technologies for Science,
Engineering and Education»)

Vrnjacka Banja, Serbia, August, 27–31, 2011

Budva, Montenegro, August, 31 – September, 5, 2011

Захаров Ю.Н.   Ivanov K.S.  

Nonstationary solutions of the Navier-Stokes equations

Reporter: Захаров Ю.Н.

The unsteady-state incompressible Navier-Stokes equations in two-dimensions are solved numerically using both original and «rotation-stream function» formulations. Two types of boundary conditions are used for original system of equations: stationary and periodic. The incomplete approximation method with a multiparametric optimization is used for the Poisson's equation solution on the every discrete time step. In case of periodic boundary conditions the stable solution of given problem was received. In case of stationary boundary conditions the critical Reynolds number was found, that define the stationary-to-periodic-mode solution transition. Test cases are presented, received with use various differential formulations of original system of equations.

Abstracts file: Zaharov.doc

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