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- W3141404772 abstract "Even though wave period is a crucial design element to have humongous influence on a wave force on the coastal structure, wave climate near coastal region, sediment suspension, it has been maltreated. These tendencies can be explained by the complicated form of nonlinear random waves by Longuet-Higgines (1963). Hence theoretical treatment of statistical properties like a period relevant to nonlinear random wave field of moderate bandwidth heavily relies on semi empirical approach. Based on the observation that wave energy transfer to lower harmonic component due to nonlinear difference interaction is not significant, Tung et al. (1989) proposed simplified version of Longuet-Higgins' wave model, which triggered a huge progress in our understanding of nonlinear random waves of finite bandwidth. In this study, we analytically derived joint distribution of wave height and its period and conditional probability density function of wave period using aforementioned wave model. Based on these results, we numerically simulate nonlinear random waves using Wallops spectrum, and it turns out that the symmetry and distribution pattern with respect to modal period agrees well with measured data by Goda (1978). It is also shown that as the nonlinearity is getting profound, the region over sample space where joint distribution of wave height and its period have meaningful value shrinks, and a center of probability mass shifts toward relatively large values of wave height and smaller values of period. In addition, we note that conditional probability density function of wave period more clusters around the modal value with an intensified nonlinearity." @default.
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- W3141404772 date "2007-01-01" @default.
- W3141404772 modified "2023-09-24" @default.
- W3141404772 title "Period Distribution in Nonlinear Random Waves of Finite Bandwidth" @default.
- W3141404772 hasPublicationYear "2007" @default.
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