A NUMERICAL STUDY OF THE IMPORTANCE OF NONLINEAR EFFECTS FOR FABRY-PEROT RESONANCE OF WATER WAVES
AbstractWhen a regular wave train propagates over a patch of periodic bottom corrugations on an otherwise flat bottom (with still water depth h), the so called Bragg resonance phenomenon can appear, leading to a significant reflection of the incident waves due to the presence of the ripple patch. This effect is maximum when the wavelength of the surface waves (noted A = 2n/k) is twice that of the bottom ripples (noted Ab = 2n/kb). This phenomenon has been studied both experimentally (e.g. Davies & Heathershaw, 1984) and theoretically within the linear wave theory framework (e.g. Mei, 1985; Dalrymple & Kirby, 1986).
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