A novel fully-implicit finite volume method applied to the lid-driven cavity problem-Part II: Linear stability analysis

A novel finite volume method, described in Part I of this paper (Sahin and Owens, Int. J. Numer. Meth. Fluids 2003; 42:57–77), is applied in the linear stability analysis of a lid‐driven cavity flow in a square enclosure. A combination of Arnoldi's method and extrapolation to zero mesh size all...

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Bibliographic Details
Published in:International journal for numerical methods in fluids Vol. 42; no. 1; pp. 79 - 88
Main Authors: Sahin, Mehmet, Owens, Robert G.
Format: Journal Article
Language:English
Published: Chichester, UK John Wiley & Sons, Ltd 10.05.2003
Wiley
Subjects:
Computational methods in fluid dynamics
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
implicit finite volume methods
Laminar flows
Laminar flows in cavities
lid-driven cavity flow
linear stability
Physics
Stability of laminar flows
Streamlines
Computational fluid dynamics
Digital simulation
Vorticity
Linear stability
Unsteady flow
Incompressible fluid
Hopf bifurcation
Cavity flow
Finite volume methods
Turbulent laminar transition
Moving wall
ISSN:0271-2091, 1097-0363
Online Access:Get full text
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Summary:A novel finite volume method, described in Part I of this paper (Sahin and Owens, Int. J. Numer. Meth. Fluids 2003; 42:57–77), is applied in the linear stability analysis of a lid‐driven cavity flow in a square enclosure. A combination of Arnoldi's method and extrapolation to zero mesh size allows us to determine the first critical Reynolds number at which Hopf bifurcation takes place. The extreme sensitivity of the predicted critical Reynolds number to the accuracy of the method and to the treatment of the singularity points is noted. Results are compared with those in the literature and are in very good agreement. Copyright © 2003 John Wiley & Sons, Ltd.
Bibliography:ark:/67375/WNG-F2PF530P-R
ArticleID:FLD533
Swiss National Science Foundation - No. 21-61865.00
istex:CF23ED302C95DB457126D08607128BB9383EDE59
ISSN:0271-2091
1097-0363
DOI:10.1002/fld.533