Probabilistic assessment of rogue wave occurrence in directional wave fields

Abstract A series of directly numerical simulations of potential Euler equation have been performed using high-order spectral (HOS) method, to investigate the nonlinear wave statistics and the probability of rogue wave occurrence in crossing sea states. Several typical crossing sea states in deep water with different wave steepness are chosen for the computations. The ensemble statistical properties for those crossing waves are measured, including the temporal evolution of directional and omnidirectional wave spectra, exceedance probability of wave crest amplitude, as well as the kurtosis and skewness of free surface elevations. Particular attention is paid to the correlation between kurtosis and rogue wave occurrence. Our numerical results suggest that the global wave steepness plays a significant role in the statistical properties of crossing seas. Results also show the dependence of rogue wave occurrence probability on the kurtosis of free surface elevations.

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Analysis of directional wave fields with strong current

Applied Ocean Research ◽

10.1016/j.apor.2004.08.003 ◽

2004 ◽

Vol 26 (1-2) ◽

pp. 13-22 ◽

Cited By ~ 2

Author(s):

Shaosong Zhang ◽

Jun Zhang

Keyword(s):

Wave Fields ◽

Strong Current ◽

Directional Wave

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Analysis of directional wave fields using X-band navigation radar

Coastal Engineering ◽

10.1016/s0378-3839(00)00019-3 ◽

2000 ◽

Vol 40 (4) ◽

pp. 375-391 ◽

Cited By ~ 85

Author(s):

J.C. Nieto Borge ◽

C. Guedes Soares

Keyword(s):

Wave Fields ◽

X Band ◽

Directional Wave

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Extreme Waves in Sea States Crossing an Oblique Current

29th International Conference on Ocean, Offshore and Arctic Engineering: Volume 2 ◽

10.1115/omae2010-20619 ◽

2010 ◽

Author(s):

A. Toffoli ◽

A. V. Babanin ◽

F. Ardhuin ◽

M. Benoit ◽

E. M. Bitner-Gregersen ◽

...

Keyword(s):

Nonlinear Dynamics ◽

Gravity Waves ◽

Laboratory Experiments ◽

Random Wave ◽

Extreme Waves ◽

Regular Waves ◽

Wave Fields ◽

Surface Gravity Waves ◽

Directional Wave ◽

A Current

Laboratory experiments have been carried out in the directional wave tank at Marintek (Norway) to study the nonlinear dynamics of surface gravity waves and the occurrence of extreme events, when the wave field traverses obliquely an ambient current. A condition of partial opposition has been considered. Tests on regular waves have shown that the current can trigger the formation of large amplitude waves. In random wave fields, however, this only results in a weak deviation from the statistical properties observed in absence of a current.

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Impulse Response Techniques for Floating Bridges and Breakwaters Subject to Short-Crested Seas

Marine Technology and SNAME News ◽

10.5957/mt1.1984.21.3.270 ◽

1984 ◽

Vol 21 (03) ◽

pp. 270-276

Author(s):

Bruce L. Hutchison

Keyword(s):

Bending Moments ◽

Stochastic Excitation ◽

Linear Superposition ◽

Wave Fields ◽

Directional Spectrum ◽

Directional Wave ◽

Floating Bridges ◽

Six Degree Of Freedom ◽

Proper Interpretation

A frequency domain technique is presented which permits the determination of the complete covariance matrix for the six degree-of-freedom motions, and the nodal shears and bending moments, for floating bridges and breakwaters. The structures are modeled as a series of interacting modules subject to stochastic excitation from directional short-crested seas. The two principal methods of analyzing such problems— linear superposition of responses to long-crested components of the directional spectrum, and beam sea responses modified by a scalar coherency function—are carefully examined. It is shown that, under proper interpretation, the two methods are logically consistent. The paper concludes by examining two types of coherency processes in directional wave fields.

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Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation

Abstract and Applied Analysis ◽

10.1155/2014/378167 ◽

2014 ◽

Vol 2014 ◽

pp. 1-7 ◽

Cited By ~ 1

Author(s):

Hanlin Chen ◽

Zhenhui Xu ◽

Zhengde Dai

Keyword(s):

Nonlinear Evolution Equation ◽

Wave Solution ◽

Nonlinear Evolution ◽

Rogue Wave ◽

Test Method ◽

Wave Fields ◽

New Family ◽

Rogue Wave Solution ◽

Extreme Behavior ◽

Ytsf Equation

A new method, homoclinic (heteroclinic) breather limit method (HBLM), for seeking rogue wave solution to nonlinear evolution equation (NEE) is proposed. (3+1)-dimensional Yu-Toda-Sasa-Fukuyama (YTSF) equation is used as an example to illustrate the effectiveness of the suggested method. A new family of two-wave solution, rational breather wave solution, is obtained by extended homoclinic test method, and it is just a rogue wave solution. This result shows rogue wave can come from extreme behavior of breather solitary wave for (3+1)-dimensional nonlinear wave fields.

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Characteristics of the breathers, rogue waves and soliton waves in a (2 + 1)-dimensional generalized Nizhnik–Novikov–Veselov equation

Modern Physics Letters B ◽

10.1142/s0217984919500143 ◽

2019 ◽

Vol 33 (03) ◽

pp. 1950014 ◽

Cited By ~ 3

Author(s):

Xiu-Bin Wang ◽

Bo Han

Keyword(s):

Solitary Wave ◽

Wave Solution ◽

Rogue Wave ◽

Solitary Wave Solution ◽

Dynamical Behavior ◽

Rogue Waves ◽

Bilinear Forms ◽

Wave Fields ◽

Rogue Wave Solution ◽

Bell’S Polynomials

In this work, a (2 + 1)-dimensional generalized Nizhnik–Novikov–Veselov (GNNV) equation, which can be reduced to several integrable equations, is under investigation. By virtue of Bell’s polynomials, an effective and straightforward way is presented to succinctly construct its two bilinear forms. Furthermore, based on the bilinear formalism and the extended homoclinic test, the breather wave solution, rogue-wave solution and solitary-wave solution of the equation are well constructed. The results can be used to enrich the dynamical behavior of the (2 + 1)-dimensional nonlinear wave fields.

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