TY - JOUR
T1 - Probability Distribution Functions of Freak Waves
T2 - Nonlinear Versus Linear Model
AU - Dyachenko, Alexander I.
AU - Kachulin, Dmitriy I.
AU - Zakharov, Vladimir E.
N1 - Funding Information:
Numerical part of this work including linear and nonlinear simulation of water waves and calculating probability distribution functions of freak waves was supported by the Grant “Wave turbulence: theory, numerical simulation, experiment” #14-22-00174 of Russian Science Foundation. Analytical part of the article was supported by Grant of NSF 1130450. Numerical simulation was performed at the Informational Computational Center of the Novosibirsk State University.
Funding Information:
Numerical part of this work including linear and nonlinear simulation of water waves and calculating probability distribution functions of freak waves was supported by the Grant “Wave turbulence: theory, numerical simulation, experiment” #14‐22‐00174 of Russian Science Foundation. Analytical part of the article was supported by Grant of NSF 1130450.
Publisher Copyright:
© 2016 Wiley Periodicals, Inc., A Wiley Company
PY - 2016/8/1
Y1 - 2016/8/1
N2 - Presented are the results of numerical experiments on calculation of probability distribution functions (PDFs) for surface elevations of water waves arising during the evolution of statistically homogeneous wave field. Extreme waves or freak waves are an integral part of ocean waving, and PDFs are compared both for nonlinear and linear models. Obviously, linear model demonstrates the Rayleigh distribution of surface elevations while PDFs for nonlinear equation have tails for large elevations similar to Rayleigh distribution, but with much larger σ.
AB - Presented are the results of numerical experiments on calculation of probability distribution functions (PDFs) for surface elevations of water waves arising during the evolution of statistically homogeneous wave field. Extreme waves or freak waves are an integral part of ocean waving, and PDFs are compared both for nonlinear and linear models. Obviously, linear model demonstrates the Rayleigh distribution of surface elevations while PDFs for nonlinear equation have tails for large elevations similar to Rayleigh distribution, but with much larger σ.
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U2 - 10.1111/sapm.12116
DO - 10.1111/sapm.12116
M3 - Article
AN - SCOPUS:84975699495
SN - 0022-2526
VL - 137
SP - 189
EP - 198
JO - Studies in Applied Mathematics
JF - Studies in Applied Mathematics
IS - 2
ER -