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Global flow instability in a lid-driven cavity

Global flow instability in a lid-driven cavity
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 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.
hopf bifurcation, lid-driven cavity, global stability, aspect ratio, navier–stokes
0271-2091
827-853
Boppana, V.B.L.
817ed7fa-d262-451f-a442-ee8c9b8a2cb0
Gajjar, J.S.B
572ad621-15b9-499c-9a0d-f71b329a36a9
Boppana, V.B.L.
817ed7fa-d262-451f-a442-ee8c9b8a2cb0
Gajjar, J.S.B
572ad621-15b9-499c-9a0d-f71b329a36a9

Boppana, V.B.L. and Gajjar, J.S.B (2010) Global flow instability in a lid-driven cavity. International Journal for Numerical Methods in Fluids, 62 (8), 827-853. (doi:10.1002/fld.2040).

Record type: Article

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.

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Published date: March 2010
Keywords: hopf bifurcation, lid-driven cavity, global stability, aspect ratio, navier–stokes
Organisations: Aerodynamics & Flight Mechanics Group

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Local EPrints ID: 195723
URI: https://eprints.soton.ac.uk/id/eprint/195723
ISSN: 0271-2091
PURE UUID: 37111bf0-1828-4460-ab70-f8f85a304d67

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Date deposited: 26 Aug 2011 07:35
Last modified: 16 Jul 2019 23:24

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Contributors

Author: V.B.L. Boppana
Author: J.S.B Gajjar

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