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• W2144468045 abstract "Abstract The effects of nonlinearity on a train of linear water waves in deep water interacting with underlying currents are investigated numerically via a boundary-integral method. The current is assumed to be two-dimensional and stationary, being induced by a distribution of singularities located beneath the free surface, which impose sharp and gentle surface velocity gradients. For ‘slowly’ varying currents, the fully nonlinear results confirm that opposing currents induce wave steepening and breaking within the region where a high convergence of rays occurs. For ‘rapidly’ varying currents, wave blocking and breaking are more prominent. In this case reflection was observed when sufficiently strong adverse currents are imposed, confirming that at least part of the wave energy that builds up within the caustic can be released in the form of partial reflection and wave breaking. For bichromatic waves, the fully nonlinear results show that partial wave blocking occurs at the individual wave components in the wave groups and that waves become almost monochromatic upstream of the blocking region." @default.
• W2144468045 created "2016-06-24" @default.
• W2144468045 creator A5068438615 @default.
• W2144468045 creator A5085195834 @default.
• W2144468045 date "2011-12-06" @default.
• W2144468045 modified "2023-09-27" @default.
• W2144468045 title "Nonlinear interactions between deep-water waves and currents" @default.
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• W2144468045 doi "https://doi.org/10.1017/jfm.2011.436" @default.
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