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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, CDirect 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 MathematicsVolume
68Pagination
327-338ISSN
0022-0833Department/School
School of Natural SciencesPublisher
Kluwer Academic PublPlace of publication
Van Godewijckstraat 30, Dordrecht, Netherlands, 3311 GzRights statement
Copyright 2010 Springer Science+Business Media B.V.Repository Status
- Restricted