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Article information
2013 , Volume 18, ¹ 1, p.24-33
Zakharov Y.N., Ivanov K.S.
On nonstationary solutions of hydrodynamics problems with stationary boundary conditions
The unsteady 2D incompressible Navier-Stokes equations written in terms of rotation-stream function variables are solved numerically. Stationary and periodic types of boundary conditions are used for the original system of equations. The incomplete approximation method with a multiparametric optimization is used for solution of the Poisson's equation on each discrete time step. The stable solutions of the given problems were obtained in the case of periodic boundary conditions, In case of stationary boundary conditions, the critical Reynolds number was found that defines transition from the stationary-to-periodic-mode solutions. Test cases are presented.
[full text]
Keywords: computational modeling, computational fluid dynamics, Navier-Stokes equations, viscous homogeneous incompressible fluid
Author(s):
Zakharov Yuriy Nikolaevich
Dr. , Professor
Position: Head of Chair
Office: Kemerovo State University, Institute of Computational Technologies of the Siberian Branch of the Russian Academy of Sciences
Address: 650000, Russia, Kemerovo, Krasnaya Street, 6
Phone Office: (3842) 58 42 25
E-mail: zyn@kemsu.ru
SPIN-code: 7845-0976Ivanov Konstantin Stanislavovich
Position: Assistent
Office: Kemerovo State University
Address: 650023, Russia, Kemerovo, Krasnaya Street, 6
Phone Office: (3842)54-27-70
E-mail: topspin83@mail.ru
Bibliography link:
Zakharov Y.N., Ivanov K.S. On nonstationary solutions of hydrodynamics problems with stationary boundary conditions // Computational technologies. 2013. V. 18. ¹ 1. P. 24-33
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