Rogue Wave Statistics and Dynamics Using Large-Scale Direct Simulations

2006 ◽  
Author(s):  
Dick K. Yue ◽  
Yuming Liu
Keyword(s):  
Large Scale ◽  
Rogue Wave ◽  
Wave Statistics

scholarly journals Linear and nonlinear rogue wave statistics in the presence of random currents

Nonlinearity ◽  
2011 ◽  
Vol 24 (11) ◽  
pp. R67-R87 ◽  
Author(s):  
L H Ying ◽  
Z Zhuang ◽  
E J Heller ◽  
L Kaplan
Keyword(s):  
Rogue Wave ◽  
Wave Statistics ◽  
Linear And Nonlinear

Numerical Investigation on the Rogue Wave Occurrence in Crossing Wave Fields

2019 ◽  
Author(s):  
Shuai Liu ◽  
Xinshu Zhang ◽  
Xingyu Song ◽  
Ke Chen
Keyword(s):  
Free Surface ◽  
Temporal Evolution ◽  
Rogue Wave ◽  
Statistical Properties ◽  
Wave Crest ◽  
Exceedance Probability ◽  
Wave Steepness ◽  
Occurrence Probability ◽  
Wave Fields ◽  
Wave Statistics

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.

scholarly journals The North Sea Andrea storm and numerical simulations

2014 ◽  
Vol 14 (6) ◽  
pp. 1407-1415 ◽  
Author(s):  
E. M. Bitner-Gregersen ◽  
L. Fernandez ◽  
J. M. Lefèvre ◽  
J. Monbaliu ◽  
A. Toffoli
Keyword(s):  
Numerical Simulations ◽  
North Sea ◽  
Rogue Wave ◽  
Grid Point ◽  
Wave Model ◽  
Wave Statistics ◽  
The North ◽  
Nonlinear Phase ◽  
Spectral Wave Model ◽  
The North Sea

Abstract. A coupling of a spectral wave model with a nonlinear phase-resolving model is used to reconstruct the evolution of wave statistics during a storm crossing the North Sea on 8–9 November 2007. During this storm a rogue wave (named the Andrea wave) was recorded at the Ekofisk field. The wave has characteristics comparable to the well-known New Year wave measured by Statoil at the Draupner platform 1 January 1995. Hindcast data of the storm at the nearest grid point to the Ekofisk field are here applied as input to calculate the evolution of random realizations of the sea surface and its statistical properties. Numerical simulations are carried out using the Euler equations with a higher-order spectral method (HOSM). Results are compared with some characteristics of the Andrea wave record measured by the down-looking lasers at Ekofisk.

Describing supercontinuum noise and rogue wave statistics using higher-order moments

2012 ◽  
Vol 285 (9) ◽  
pp. 2451-2455 ◽  
Author(s):  
Simon Toft Sørensen ◽  
Ole Bang ◽  
Benjamin Wetzel ◽  
John M. Dudley
Keyword(s):  
Rogue Wave ◽  
Higher Order ◽  
Higher Order Moments ◽  
Wave Statistics

Controlling rogue wave statistics

CLEO: 2014 ◽  
2014 ◽  
Author(s):  
Ayhan Demircan ◽  
Shalva Amiranashvili ◽  
Carsten Bree ◽  
Ayhan Tajalli ◽  
Uwe Morgner ◽  
...  
Keyword(s):  
Rogue Wave ◽  
Wave Statistics

scholarly journals Anomalous wave statistics following sudden depth transitions: application of an alternative Boussinesq-type formulation

2021 ◽  
Author(s):  
Paul A. J. Bonar ◽  
Colm J. Fitzgerald ◽  
Zhiliang Lin ◽  
Ton S. van den Bremer ◽  
Thomas A. A. Adcock ◽  
...  
Keyword(s):  
Water Waves ◽  
Present Model ◽  
Rogue Wave ◽  
Type Model ◽  
Free Surface Elevation ◽  
Weakly Nonlinear ◽  
Wave Statistics ◽  
Propagation Of Waves ◽  
Insight Into ◽  
Skewness And Kurtosis

AbstractRecent studies of water waves propagating over sloping seabeds have shown that sudden transitions from deeper to shallower depths can produce significant increases in the skewness and kurtosis of the free surface elevation and hence in the probability of rogue wave occurrence. Gramstad et al. (Phys. Fluids 25 (12): 122103, 2013) have shown that the key physics underlying these increases can be captured by a weakly dispersive and weakly nonlinear Boussinesq-type model. In the present paper, a numerical model based on an alternative Boussinesq-type formulation is used to repeat these earlier simulations. Although qualitative agreement is achieved, the present model is found to be unable to reproduce accurately the findings of the earlier study. Model parameter tests are then used to demonstrate that the present Boussinesq-type formulation is not well-suited to modelling the propagation of waves over sudden depth transitions. The present study nonetheless provides useful insight into the complexity encountered when modelling this type of problem and outlines a number of promising avenues for further research.

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