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Direct numerical simulations of small disturbances in the classical Stokes layer.

Thomas, Christian, Bassom, Andrew P., Blennerhassett,, P.J. and Davies, Christopher 2010. Direct numerical simulations of small disturbances in the classical Stokes layer. Journal of Engineering Mathematics 68 (3-4) , pp. 327-338. 10.1007/s10665-010-9381-0

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Abstract

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 Type: Article
Status: Published
Schools: Mathematics
Uncontrolled Keywords: Direct numerical simulation ; Floquet instability ; Stokes layers ; Velocity–vorticity formulation
Publisher: SpringerLink
ISSN: 0022-0833
Last Modified: 04 Jun 2017 02:53
URI: http://orca-mwe.cf.ac.uk/id/eprint/13471

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