Numerical Experiments and Freak Waves
Abstract
In the article the problem of appearence of freak wave at the surface of deep water is considered. Two analytical model are proposed for two-dimensional ideal fluid. The first model is based on the conformal mapping in the ecact Euler equations of the domain occupied by the fluid to the low half-plane. In the second model canonical transformation is applied for approximate Hamiltonian. Simple nonlinear equation for normal canonical variable is derived as the result. Numerical experiments are performed to simulate freak waves formations for both models.
About the Authors
V. E. Zakharov
Новосибирский государственный университет; Институт теоретической физики им. Л.Д. Ландау РАН; Физический институт им. П.Н. Лебедева РАН; University of Arizona, Department of Mathematics, USA
Russian Federation
Russian Federation
A. I. Dyachenko
Новосибирский государственный университет; Институт теоретической физики им. Л.Д. Ландау РАН; Физический институт им. П.Н. Лебедева РАН; University of Arizona, Department of Mathematics, USA
Russian Federation
Russian Federation
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Review
For citations:
Zakharov V.E., Dyachenko A.I. Numerical Experiments and Freak Waves. Fundamental and Applied Hydrophysics. 2012;5(1):64-76. (In Russ.)
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