Journal of Fluid Mechanics

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

Elisabeth  Guazzelli a1, Vincent  Rey a2 and Max  Belzons a2
a1 Laboratoire de Physique et Mécanique des Milieux Hétérogènes, URA 857 du CNRS, ESPCI, 10 rue Vauquelin, 75231 Paris Cedex 05, France
a2 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

Article author query
guazzelli, e   [Google Scholar] 
rey v   [Google Scholar] 
belzons m   [Google Scholar] 


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.

(Published Online April 26 2006)
(Received June 13 1991)
(Revised June 3 1992)