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Numerical study of three-dimensional overturning waves in shallow water

Published online by Cambridge University Press:  11 January 2006

P. GUYENNE  and
S. T. GRILLI
P. GUYENNE
Affiliation:
Department of Mathematics, McMaster University, Hamilton, ON L8S4K1, Canada
S. T. GRILLI
Affiliation:
Department of Ocean Engineering, University of Rhode Island, Narragansett, RI 02882, USA
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Abstract

Simulations in a three-dimensional numerical wave tank are performed to investigate the shoaling and breaking of solitary waves over a sloping ridge. The numerical model solves fully nonlinear potential flow equations with a high-order boundary-element method combined with an explicit time-integration method, expressed in a mixed Eulerian–Lagrangian formulation. Analyses of shoaling and breaking-wave profiles and kinematics (both on the free surface and within the flow) are carried out. It is observed that the transverse modulation of the ridge topography induces three-dimensional effects on the time evolution, shape and kinematics of breaking waves. Comparisons of two- and three-dimensional results in the middle cross-section of the ridge, however, show remarkable similarities, especially for the shape and dynamics of the plunging jet.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 547 , 25 January 2006 , pp. 361 - 388
Copyright
© 2006 Cambridge University Press

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