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Higher-order Bragg reflection of gravity surface waves by periodic beds

Published online by Cambridge University Press:  26 April 2006

Elisabeth Guazzelli ,
Vincent Rey  and
Max Belzons
Elisabeth Guazzelli
Affiliation:
Laboratoire de Physique et Mécanique des Milieux Hétérogènes, URA 857 du CNRS, ESPCI, 10 rue Vauquelin, 75231 Paris Cedex 05, France
Vincent Rey
Affiliation:
Département de Physique des Systèmes Désordonnés, SETT, URA 1168 du CNRS, Université de Provence, Centre de Saint-Jérôme, Case 161, 13397 Marseille Cedex 13, France
Max Belzons
Affiliation:
Département de Physique des Systèmes Désordonnés, SETT, URA 1168 du CNRS, Université de Provence, Centre de Saint-Jérôme, Case 161, 13397 Marseille Cedex 13, France
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Abstract

Experiments are described which demonstrate higher-order Bragg resonant interactions between linear gravity waves and doubly sinusoidal beds. These higher-order effects, which include harmonic and subharmonic Bragg reflections, have been observed by making very precise measurements in a wave tank. Subharmonic reflection was found to be very large, even for small bottom undulation amplitudes. The experimental data are compared with the predictions of a numerical model based on the full potential theory of linear waves.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 245 , December 1992 , pp. 301 - 317
Copyright
© 1992 Cambridge University Press

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