A three-dimensional wave field over a bidirectionally periodic ripple bottom

作者：Cheng, Chia Yan; Chen, Yang Yih^*; Chen, Guan Yu

来源：Ocean Engineering, 2007, 34(2): 303-319.

DOI：10.1016/j.oceaneng.2005.12.007

• ripple bottom
• perturbation expansion
• Bragg resonance

For gravity wave trains propagating over an arbitrary wavy bottom, a perturbation expansion is developed to the second order so that the Bragg resonance effect of the ripple bottom on the free-surface wave can be analyzed. Both the resonant and non-resonant cases are treated and the singular behavior at resonance is avoided. This theory is successfully verified by reducing to simpler situations. Then, the analytical results for the special case of a unidirectional sinusoidal bottom are compared with experimental data for validation.

• 出版日期2007-2
• 单位中山大学