Article information

2003 , Volume 8, ¹ 5, p.14-23

Balaganski M.Y., Zakharov Y.N.

Iterative schemes for Navier-Stokes equations solving in vorticity-stream formulation

The steady Navier-Stokes equations in vorticity-stream function formulation are solved numerically using an explicit iterative scheme with the multicomponent optimization. Nonreflecting boundary conditions at the inflow and outflow boundaries are based on a certain approximation of the Navier-Stokes equations. Three test cases are presented.

[full text] Classificator Msc2000:
*65N12 Stability and convergence of numerical methods
65N22 Solution of discretized equations
76M10 Finite element methods

Keywords: high-resolution solutions for incompressible flow, inviscid and viscous problems, Laplace operator, Newton - Kantorovich iterative method

Author(s):
Balaganski M Yu
Office: Kemerovo State University
Address: Russia, Kemerovo
E-mail: stzun@ic.kemsu.ru

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: 7845-0976


Bibliography link:
Balaganski M.Y., Zakharov Y.N. Iterative schemes for Navier-Stokes equations solving in vorticity-stream formulation // Computational technologies. 2003. V. 8. ¹ 5. P. 14-23
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