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

Mehmet Sahin; Robert G. Owens

doi:10.1002/fld.533

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

Mehmet Sahin, Robert G. Owens^*

^*Corresponding author for this work

Swiss Federal Institute of Technology Lausanne

Research output: Contribution to journal › Article › peer-review

53 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	79-88
Number of pages	10
Journal	International Journal for Numerical Methods in Fluids
Volume	42
Issue number	1
DOIs	https://doi.org/10.1002/fld.533
Publication status	Published - 10 May 2003
Externally published	Yes

Keywords

Implicit finite volume methods
Lid-driven cavity flow
Linear stability

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abstract = "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.",

keywords = "Implicit finite volume methods, Lid-driven cavity flow, Linear stability",

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N2 - 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.

AB - 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.

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KW - Linear stability

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

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Keywords

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