Gravity waves over topographical bottoms: Comparison with the experiment

Details Gravity waves over topographical bottoms: Comparison with the experiment Gravity waves over topographical bottoms: Comparison with the experiment

2004-06-22

arxiv.org/abs/physics/0406096v1

Physics

Fluid Dynamics

15 pages, 7 figures

Scientific paper

10.1103/PhysRevE.71.011201

In this paper, the propagation of water surface waves over one-dimensional periodic and random bottoms is investigated by the transfer matrix method. For the periodic bottoms, the band structure is calculated, and the results are compared to the transmission results. When the bottoms are randomized, the Anderson localization phenomenon is observed. The theory has been applied to an existing experiment (Belzons, et al., J. Fluid Mech. {\bf 186}, 530 (1988)). In general, the results are compared favorably with the experimental observation.

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