Stochastic nonlinear gravity waves

2008 ◽  
pp. 210-220
Keyword(s):  
Gravity Waves ◽  
Nonlinear Gravity

A high-order spectral method for the study of nonlinear gravity waves

1987 ◽  
Vol 184 ◽  
pp. 267-288 ◽  
Author(s):  
Douglas G. Dommermuth ◽  
Dick K. P. Yue
Keyword(s):  
Gravity Waves ◽  
Mode Coupling ◽  
Arbitrary Order ◽  
Travelling Wave ◽  
Computational Effort ◽  
Zakharov Equation ◽  
Long Time ◽  
Nonlinear Free Surface ◽  
High Order Spectral Method ◽  
Nonlinear Gravity

We develop a robust numerical method for modelling nonlinear gravity waves which is based on the Zakharov equation/mode-coupling idea but is generalized to include interactions up to an arbitrary order M in wave steepness. A large number (N = O(1000)) of free wave modes are typically used whose amplitude evolutions are determined through a pseudospectral treatment of the nonlinear free-surface conditions. The computational effort is directly proportional to N and M, and the convergence with N and M is exponentially fast for waves up to approximately 80% of Stokes limiting steepness (ka ∼ 0.35). The efficiency and accuracy of the method is demonstrated by comparisons to fully nonlinear semi-Lagrangian computations (Vinje & Brevig 1981); calculations of long-time evolution of wavetrains using the modified (fourth-order) Zakharov equations (Stiassnie & Shemer 1987); and experimental measurements of a travelling wave packet (Su 1982). As a final example of the usefulness of the method, we consider the nonlinear interactions between two colliding wave envelopes of different carrier frequencies.

scholarly journals “Choppy wave” model for nonlinear gravity waves

2009 ◽  
Vol 114 (C9) ◽  
Author(s):  
Frédéric Nouguier ◽  
Charles-Antoine Guérin ◽  
Bertrand Chapron
Keyword(s):  
Gravity Waves ◽  
Wave Model ◽  
Nonlinear Gravity

Particle trajectories of nonlinear gravity waves in deep water

2009 ◽  
Vol 36 (5) ◽  
pp. 324-329 ◽  
Author(s):  
Hsien-Kuo Chang ◽  
Yang-Yi Chen ◽  
Jin-Cheng Liou
Keyword(s):  
Gravity Waves ◽  
Deep Water ◽  
Particle Trajectories ◽  
Nonlinear Gravity
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