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Numerical and experimental study of the transformation of a solitary wave over a shelf or isolated obstacle

Published online by Cambridge University Press:  21 April 2006

Fernando J. Seabra-Santos ,
Dominique P. Renouard  and
André M. Temperville
Fernando J. Seabra-Santos
Affiliation:
Institut de Mécanique de Grenoble, B.P. 68, 38402 Saint-Martin d'Hères Cedex, France Permanent affiliation: Faculdade de Cienciase Tecnologia Universidade de Coimbra, Portugal.
Dominique P. Renouard
Affiliation:
Institut de Mécanique de Grenoble, B.P. 68, 38402 Saint-Martin d'Hères Cedex, France
André M. Temperville
Affiliation:
Institut de Mécanique de Grenoble, B.P. 68, 38402 Saint-Martin d'Hères Cedex, France
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Abstract

In order to model the evolution of a solitary wave near an obstacle or over an uneven bottom, the long-wave equations including curvature effects are introduced to describe the deformation and fission of a barotropic solitary wave passing over a shelf or an obstacle. The numerical results obtained from these equations are shown to be in good agreement with an analytical model derived by Germain (1984) in the framework of a generalized shallow-water theory, and with experimental results collected in a large channel equipped with a wave generator. Given the initial conditions, i.e. amplitude of the incident solitary wave, water depth in the deep region, and height of the shelf or the barrier, it is possible to predict the amplitude and number of the transmitted solitary waves as well as the amplitude of the reflected wave, and to describe the shape of the free surface at any time.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 176 , March 1987 , pp. 117 - 134
Copyright
© 1987 Cambridge University Press

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