Stability analysis of 2-dimensional fluid flow based on sum of squares relaxation

Author

Yu, Hwayeong ; Kashima, Kenji ; Imura, Junichi

Author_Institution

Dept. of Mech. & Environ. Inf., Tokyo Inst. of Technol., Tokyo

fYear

2008

fDate

20-22 Aug. 2008

Firstpage

3321

Lastpage

3326

Abstract

In this paper, the stability of incompressible 2D channel flow is investigated. This problem has many practical applications. However, since the flow dynamics is described by a nonlinear partial differential equation, its stability analysis is a challenging problem. Most of existing results obtained in an analytical way are conservative and less flexible. In this paper, we derive less conservative and easily checkable criteria. This is accomplished by using sum of squares relaxation technique.

Keywords

channel flow; computational fluid dynamics; flow control; nonlinear differential equations; partial differential equations; relaxation theory; stability criteria; flow dynamics; fluid flow; incompressible channel flow; nonlinear partial differential equation; stability analysis; sum of squares relaxation technique; Boundary conditions; Control engineering; Drag; Fluid flow; Informatics; Navier-Stokes equations; Nonlinear dynamical systems; Nonlinear systems; Partial differential equations; Stability analysis; Boundary conditions; Lyapunov functional; Navier-Stokes equation; Sum of squares;

fLanguage

English

Publisher

ieee

Conference_Titel

SICE Annual Conference, 2008

Conference_Location

Tokyo

Print_ISBN

978-4-907764-30-2

Electronic_ISBN

978-4-907764-29-6

Type

conf

DOI

10.1109/SICE.2008.4655238

Filename

4655238