Data/hora: 01/06/2024 02:25:56

Provedor de dados: | 5
País: | France
Título: | A non-linear second-order stochastic model of ocean surface waves
Autores: | Joelson, M; Ramamonjiarisoa, A.
Data: | 2001-09
Ano: | 2001
Palavras-chave: | Représentation de Fourier-Stieltjes; Équations aux noyaux; Ondes de surface océaniques; Fonctions aléatoires; Série fonctionnelle de Wiener-Hermite; Fourier-Stiltjes decomposition; Kernels equations; Oceanic surface waves; Random functions; Wiener-Hermite functional series.
Resumo: | This paper deals first with the mathematical formulation of a non-linear second-order stochastic model of free irrotational ocean surface wave on deep water. Then, the case of wave motion of zero bandwidth is treated to illustrate the model. On the basis of the usual hydrodynamic equations, the formulation is made by successive applications of the harmonic decomposition and the so-called Wiener-Hermite functional series expansion of random functions. This procedure yields the kernels equations. These kernels allow to obtain the random surface wave fields from the Wiener set of elementary random processes. For the particular case cited above, as expected, the second-order non-linearity results in the generation of a second harmonic component of the fundamental component. The corresponding realisations of the random variations of the water surface deflection level exhibit close similarity with data from laboratory experiments. The potentiality of the approach for modelling a wide class of random oceanic processes is stressed.
Tipo: | Text
Idioma: | Inglês

Identificador:

http://archimer.ifremer.fr/doc/00322/43338/42889.pdf

DOI:10.1016/S0399-1784(01)01164-1

http://archimer.ifremer.fr/doc/00322/43338/

Editor: | Gauthier-villars/editions Elsevier
Formato: | application/pdf
Fonte: | Oceanologica Acta (0399-1784) (Gauthier-villars/editions Elsevier), 2001-09 , Vol. 24 , N. 5 , P. 409-415

Fonte:

2001 Ifremer/CNRS/IRD/Éditions scientifiques et médicales Elsevier SAS

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