Global flow instability in a lid-driven cavity

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...

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Bibliographic Details
Published in:International journal for numerical methods in fluids 2010-03, Vol.62 (8), p.827-853
Main Authors: Boppana, V. B. L., Gajjar, J. S. B.
Format: Article
Language:English
Subjects:
Aspect ratio
Computational fluid dynamics
global stability
Holes
Hopf bifurcation
lid-driven cavity
Mathematical analysis
Mathematical models
Navier-Stokes
Spectra
Stability
Stability analysis
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Summary: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.
ISSN:0271-2091
1097-0363
1097-0363
DOI:10.1002/fld.2040