Estimation of Joint Probability Density Functions of Surface Elevation and Slopes for Nonlinear Random Waves

• IZUMYA Takashi

  新潟大学

• TAKAHASHI Ryunosuke

  北越銀行

• ISHIBASHI Kunihiko

  新潟大学

Bibliographic Information

Other Title

• 反射波を伴う非線形性不規則波の水位・水面勾配の結合確率分布に関する研究

Abstract

The relationship between skewness and kurtosis of surface elevation and slope of irregular waves was investigated using laboratory and field observations. The squared values of skewness were found to be proportional to kurtosis as estimated by using the Stokes wave model. The joint probability density functions of surface elevation and slopes were evaluated by applying the principle of maximum entropy. The effects of reflected waves on the joint distribution of the surface elevation and slopes were also investigated. The theoretical conditional distributions of p(η, η_x=0) based on a simple nonlinear wave model reproduced the dependence on the representative wave slope and were in good agreement with the laboratory observations.

Journal

• Journal of Japan Society of Civil Engineers, Ser. B2 (Coastal Engineering)

  Journal of Japan Society of Civil Engineers, Ser. B2 (Coastal Engineering) 70 (2), I_86-I_90, 2014

  Japan Society of Civil Engineers

Keywords

• nonlinear random waves
• joint probability density function
• surface slopes
• kurtosis

Details

• CRID: 1390001205321375616
• NII Article ID: 130004706996
• DOI: 10.2208/kaigan.70.i_86
• ISSN: 18838944
• ISSN: 18842399
• Text Lang: ja
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed