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Wake formation around islands in oscillatory laminar shallow-water flows. Part 2. Three-dimensional boundary-layer modelling

Published online by Cambridge University Press:  01 March 2001

PETER K. STANSBY  and
PETER M. LLOYD
PETER K. STANSBY
Affiliation:
Department of Civil and Construction Engineering, UMIST, Manchester M60 1QD, UK
PETER M. LLOYD
Affiliation:
Department of Civil and Construction Engineering, UMIST, Manchester M60 1QD, UK Present address: Tessella Support Services plc, Robert Gordon House, Cavendish Avenue, Birchwood Park, Warrington WA3 6FT, UK.
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Abstract

A three-dimensional numerical model for shallow-water flow with the assumption of hydrostatic pressure has been applied to oscillatory laminar flow around a conical island of small side slope (8°). The model is (mainly) second-order accurate in space and time with advection in conservation form. This form of model is effectively a boundary-layer solution with imposed depth-integrated continuity. To reproduce experimental conditions particular care was required for boundary conditions to account for seiching in the flume. The model predicted the wide range of wake structures observed experimentally and described in Part 1 (Lloyd, Stansby & Chen 2001), from symmetric with weak vortex pairing to complex vortex shedding.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 429 , 25 February 2001 , pp. 239 - 254
Copyright
© 2001 Cambridge University Press

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