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Direct numerical simulations of small disturbances in the classical Stokes layer

journal contribution
posted on 2023-05-18, 15:51 authored by Thomas, C, Andrew BassomAndrew Bassom, Blennerhassett, PJ, Davies, C
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.

History

Publication title

Journal of Engineering Mathematics

Volume

68

Pagination

327-338

ISSN

0022-0833

Department/School

School of Natural Sciences

Publisher

Kluwer Academic Publ

Place of publication

Van Godewijckstraat 30, Dordrecht, Netherlands, 3311 Gz

Rights statement

Copyright 2010 Springer Science+Business Media B.V.

Repository Status

  • Restricted

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Expanding knowledge in the mathematical sciences

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