Journal article
Third-order resonant wave interactions under the influence of background current fields
T Waseda, T Kinoshita, L Cavaleri, A Toffoli
Journal of Fluid Mechanics | CAMBRIDGE UNIV PRESS | Published : 2015
DOI: 10.1017/jfm.2015.578
Abstract
A series of experiments were conducted in a wave basin (50A m long, 10A m wide and 5A m deep) generating two waves propagating at an angle by a directional wavemaker. When the two waves were selected from a resonant triplet, an initially non-existing wave grew as the waves propagated down the tank. The linear growth rate of the resonating wave agreed well with third-order resonance theory based on Zakharov's reduced gravity equation. Additional experiments with opposing and coflowing mean current with large temporal and spatial variations were conducted. As the flow rate increased, the linear growth was suppressed. As reproduced numerically with Zakharov's equation, the resonant interaction ..
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Awarded by Japan Society for the Promotion of Science
Funding Acknowledgements
The first author thanks T. Hirobe, H. Tomita, W. Choi, V. Shrira and E. Kartashova for the discussion over the years it took to complete this paper. The work was supported partially by Grants-in-Aid for Scientific Research (KAKEN), Japan Society for Promoting Science. L.C. was supported by the EU-funded project MyWave, Theme (SPA.2011.5-03). A.T. also acknowledges the International Science Linkages (ISL) Program of the Australian Academy of Science. The numerical solution of Zakharov's equation is based on a code developed in cooperation with O. Oshri when the first author was at the University of California, Santa Barbara.