Title :
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
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;
Conference_Titel :
SICE Annual Conference, 2008
Conference_Location :
Tokyo
Print_ISBN :
978-4-907764-30-2
Electronic_ISBN :
978-4-907764-29-6
DOI :
10.1109/SICE.2008.4655238
