- Turkish Journal of Engineering and Environmental Sciences
- Vol: 23 Issue: 6
- Single Value Decomposition For Stability Analysis of Nonlinear Poiseuille Flows
Single Value Decomposition For Stability Analysis of Nonlinear Poiseuille Flows
Authors : Ahmet PINARBAŞI
Pages : 403-410
View : 5 | Download : 2
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :In nonlinear analysis of fluid mechanics problems, small amplitude oscillations near the Hopf bifurcation point are well-described by the Ginzburg-Landau equation. The coefficients of the Ginzburg-Landau equation can be computed efficiently and conveniently by Singular Value Decomposition (SVD). In this study, the Ginzburg-Landau equation is derived for plane Poiseuille flow problem of a Newtonian fluid and the SVD method is applied in order to show how to find the coefficients of the Ginzburg-Landau equation. The analysis indicates that SVD is easy to implement and straightforward; making it the method of choice for the numerical computations of the coefficients of amplitude equations.Keywords : Poiseuille flow, Stability, Bifurcation theory, Singular Value Decomposition