The Dynamical Behavior and the Numerical Simulation of a Seven-Modes System of the Navier-Stokes Equations for a Two-Dimensional Incompressible Fluid on a Torus

Author

Wang, Heyuan ; Gao, Yan

Author_Institution

Coll. of Sci., Liaoning Univ. of Technol., Jinzhou, China

fYear

2012

fDate

18-21 Oct. 2012

Firstpage

54

Lastpage

57

Abstract

A seven-mode truncation system of the Navier-Stokes equations for a two-dimensional incompressible fluid on a torus is considered. Its stationary solutions and stability are presented, the existence of attractor and the global stability of the system are discussed. The whole process, which shows a chaos behavior approached through an involved sequence of bifurcations, is simulated numerically by computer with the changing of Reynolds number.

Keywords

Navier-Stokes equations; bifurcation; chaos; Navier-Stokes equations; Reynolds number; bifurcation sequence; chaos behavior; dynamical behavior; seven-mode system numerical simulation; seven-mode truncation system; system global stability; two-dimensional incompressible fluid; Bifurcation; Chaos; Mathematical model; Numerical stability; Orbits; Stability analysis; Chaos; Lyapunov function; The Navier-Stokes equations; bifurcation; strange attractor;

fLanguage

English

Publisher

ieee

Conference_Titel

Chaos-Fractals Theories and Applications (IWCFTA), 2012 Fifth International Workshop on

Conference_Location

Dalian

Print_ISBN

978-1-4673-2825-8

Type

conf

DOI

10.1109/IWCFTA.2012.21

Filename

6383276