Freak waves in crossing seas |
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Authors: | M Onorato D Proment and A Toffoli |
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Institution: | 1.Dipartimento di Fisica Generale, Università di Torino, via P. Giuria 1,Torino,Italy;2.Swinburne University of Technology,Hawthorn, Victoria,Australia;3.INFN,Torino,Italy |
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Abstract: | We consider the modulational instability in crossing seas as a potential mechanism for the formation of freak waves. The problem
is discussed in terms of a system of two coupled Nonlinear Schr?edinger equations. The asymptotic validity of such system
is discussed. For some specific angles between the two wave trains, the equations reduce to an integrable system. A stability
analysis of these equations is discussed. Furthermore, we present an analytical study of the maximum amplification factor
for an unstable plane wave solution. Results indicate that angles between 10∘ and 30∘ are the most probable for establishing a freak wave sea. We show that the theoretical expectations are consistent with numerical
simulations of the Euler equations. |
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Keywords: | |
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