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J. Fluid Mech. (2010), vol. 643, pp. 437447. c Cambridge University Press 2010 doi:10.1017/S0022112009992850
 

Summary: J. Fluid Mech. (2010), vol. 643, pp. 437447. c Cambridge University Press 2010
doi:10.1017/S0022112009992850
437
Oblique sub- and super-harmonic Bragg
resonance of surface waves by bottom ripples
MOHAMMAD-REZA ALAM, YUMING LIU,
AND DICK K. P. YUE
Department of Mechanical Engineering, Center for Ocean Engineering, Massachusetts Institute of
Technology, Cambridge, MA 02139, USA
(Received 15 July 2009; revised 16 October 2009; accepted 17 October 2009)
We consider a class of higher order (quartet) Bragg resonance involving two
incident wave components and a bottom ripple component (so called class III
Bragg resonance). In this case, unlike class I/II Bragg resonance involving a single
incident wave and one/two bottom ripple components, the frequency of the resonant
wave, which can be reflected or transmitted, is a sum or difference of the incident
wave frequencies. In addition to transferring energy across the spectrum leading to
potentially significant spectral transformation, such resonances may generate long
(infragravity) waves of special importance to coastal processes and engineering
applications. Of particular interest here is the case where the incident waves are oblique
to the bottom undulations (or to each other) which leads to new and unexpected

  

Source: Alam, Mohammad-Reza - Department of Mechanical Engineering, Massachusetts Institute of Technology (MIT)

 

Collections: Engineering