A three-dimensional wave field over a bidirectionally periodic ripple bottom |
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| Authors: | Chia-Yan Cheng Yang-Yih Chen Guan-Yu Chen |
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| Institution: | aDepartment of Marine Environment and Engineering, National Sun Yat-sen University, 70 Lien-hai Road, Kaohsiung 804, Taiwan;bCollege of Marine Sciences, Department of Marine Environment and Engineering, National Sun Yat-sen University, 70 Lien-hai Road, Kaohsiung 804, Taiwan;cInstitute of Physical Oceanography, National Sun Yat-sen University, 70 Lien-hai Road, Kaohsiung 804, Taiwan |
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| Abstract: | 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. |
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| Keywords: | Ripple bottom Perturbation expansion Bragg resonance |
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