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

Thomas, Christian, Bassom, Andrew P., Blennerhassett,, P.J. and Davies, Christopher ORCID: https://orcid.org/0000-0002-5592-9541 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:	Schools > Mathematics
Uncontrolled Keywords:	Direct numerical simulation ; Floquet instability ; Stokes layers ; Velocity–vorticity formulation
Publisher:	SpringerLink
ISSN:	0022-0833
Last Modified:	06 Jan 2024 04:51
URI:	https://orca.cardiff.ac.uk/id/eprint/13471

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