Global flow instability in a lid-driven cavity

V. B L Boppana; J. S B Gajjar

doi:10.1002/fld.2040

Global flow instability in a lid-driven cavity

V. B L Boppana, J. S B Gajjar

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Abstract

The stability of flow in a lid-driven cavity is investigated using an accurate numerical technique based on a hybrid scheme with spectral collocation and high-order finite differences. A global stability analysis is carried out and critical parameters are identified for various aspect ratios. It is found that while there is reasonable agreement with the literature for the critical parameters leading to loss of stability for the square cavity, there are significant discrepancies for cavities of aspect ratios 1.5 and 2. Simulations of the linearized unsteady equations confirm the results from the global stability analysis for aspect ratios A=1,1.5 and A=2. Copyright © 2009 John Wiley & Sons, Ltd.

Original language	English
Pages (from-to)	827-853
Number of pages	26
Journal	International Journal for Numerical Methods in Fluids
Volume	62
Issue number	8
DOIs	https://doi.org/10.1002/fld.2040
Publication status	Published - Mar 2010

Keywords

Aspect ratio
Global stability
Hopf bifurcation
Lid-driven cavity
Navier-Stokes

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title = "Global flow instability in a lid-driven cavity",

abstract = "The stability of flow in a lid-driven cavity is investigated using an accurate numerical technique based on a hybrid scheme with spectral collocation and high-order finite differences. A global stability analysis is carried out and critical parameters are identified for various aspect ratios. It is found that while there is reasonable agreement with the literature for the critical parameters leading to loss of stability for the square cavity, there are significant discrepancies for cavities of aspect ratios 1.5 and 2. Simulations of the linearized unsteady equations confirm the results from the global stability analysis for aspect ratios A=1,1.5 and A=2. Copyright {\textcopyright} 2009 John Wiley & Sons, Ltd.",

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AU - Gajjar, J. S B

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AB - The stability of flow in a lid-driven cavity is investigated using an accurate numerical technique based on a hybrid scheme with spectral collocation and high-order finite differences. A global stability analysis is carried out and critical parameters are identified for various aspect ratios. It is found that while there is reasonable agreement with the literature for the critical parameters leading to loss of stability for the square cavity, there are significant discrepancies for cavities of aspect ratios 1.5 and 2. Simulations of the linearized unsteady equations confirm the results from the global stability analysis for aspect ratios A=1,1.5 and A=2. Copyright © 2009 John Wiley & Sons, Ltd.

KW - Aspect ratio

KW - Global stability

KW - Hopf bifurcation

KW - Lid-driven cavity

KW - Navier-Stokes

U2 - 10.1002/fld.2040

DO - 10.1002/fld.2040

M3 - Article

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JO - International Journal for Numerical Methods in Fluids

JF - International Journal for Numerical Methods in Fluids

IS - 8

ER -

Global flow instability in a lid-driven cavity

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Keywords

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