Single Value Decomposition For Stability Analysis of Nonlinear Poiseuille Flows

Ahmet PINARBAŞI

Makale detayları

Single Value Decomposition For Stability Analysis of Nonlinear Poiseuille Flows

Yazarlar:

Ahmet PINARBAŞI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Engineering and Environmental Sciences 1999 Vol.23 Issue 6, pp.403-410

Belge Tipi:

Makale

Yayın Tarihi:

5/1999

Belge Dili:

Türkçe

Document ID (Org No.):

2000745321

Sıklık:

Üç Yıllık

eISSN:

1303-6157

pISSN:

1300-0160

Özet:

 

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.

 

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.

Makale detayları

Single Value Decomposition For Stability Analysis of Nonlinear Poiseuille Flows

Yazarlar: Ahmet PINARBAŞI

Yayıncı: TUBITAK

Dergi: Turkish Journal of Engineering and Environmental Sciences 1999 Vol.23 Issue 6, pp.403-410

Belge Tipi: Makale

Yayın Tarihi: 5/1999

Belge Dili: Türkçe

Document ID (Org No.): 2000745321

Sıklık: Üç Yıllık

eISSN: 1303-6157

pISSN: 1300-0160

Sayı

Yazarlar:

Ahmet PINARBAŞI

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Engineering and Environmental Sciences 1999 Vol.23 Issue 6, pp.403-410

Belge Tipi:

Makale

Yayın Tarihi:

5/1999

Belge Dili:

Türkçe

Document ID (Org No.):

2000745321

Sıklık:

Üç Yıllık

eISSN:

1303-6157

pISSN:

1300-0160