Journal of Fluid Mechanics

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

Fernando J.  Seabra-Santos a1p1, Dominique P.  Renouard a1 and André M.  Temperville a1
a1 Institut de Mécanique de Grenoble, B.P. 68, 38402 Saint-Martin d'Hères Cedex, France

Article author query
seabra-santos fj   [Google Scholar] 
renouard dp   [Google Scholar] 
temperville am   [Google Scholar] 


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.

(Published Online April 21 2006)
(Received July 5 1985)

p1 Permanent affiliation: Faculdade de Cienciase Tecnologia Universidade de Coimbra, Portugal.