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Direct numerical simulations of small disturbances in the classical Stokes layer


Thomas, C and Bassom, AP and Blennerhassett, PJ and Davies, C, Direct numerical simulations of small disturbances in the classical Stokes layer, Journal of Engineering Mathematics, 68, (3) pp. 327-338. ISSN 0022-0833 (2010) [Refereed Article]

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Copyright 2010 Springer Science+Business Media B.V.

DOI: doi:10.1007/s10665-010-9381-0


Direct numerical simulations are used to investigate the stability characteristics of the classical semi-infinite Stokes layer that is generated by an oscillating flat plate. The calculations are based upon a velocity–vorticity formulation of the governing equations which allows efficient tracking of the time evolution of disturbances. The neutral-stability curve for two-dimensional disturbances was computed and found to agree well with the predictions of earlier semi-analytical studies. Further previously determined properties of two-dimensional disturbances in a Stokes layer were also compared to the results obtained by direct numerical simulation. The two-dimensional neutral stability results were then used to validate the extension of the direct numerical solution code to three-dimensional disturbances in the form of oblique waves.

Item Details

Item Type:Refereed Article
Keywords:direct numerical simulation, Floquet instability, Stokes layers, velocity-vorticity formulation
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Theoretical and applied mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Bassom, AP (Professor Andrew Bassom)
ID Code:105777
Year Published:2010
Web of Science® Times Cited:14
Deposited By:Mathematics and Physics
Deposited On:2016-01-14
Last Modified:2016-07-06

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