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Amélioration de la modélisation spectrale des états de mer par un calcul quasi-exact des interactions non-linéaires vague-vague

Abstract : Numerical wave models describe the evolution of the wave energy spectrum under the combined action of several physical processes that generate, transfer or dissipate energy. A more accurate modeling of nonlinear four-wave interactions is necessary to improve sea state models. Based on a method introduced by Lavrenov (2001), we developed and optimized a quasi-exact method for computing the non-linear four-wave interactions in deep water. This method, called GQM ('Gaussian Quadrature Method'), uses Gaussian quadrature formulas for the different integrations and provides very accurate estimates of the nonlinear transfer term with acceptable CPU times. In the present study, we first consider the temporal evolution of a homogeneous wave field when there is no energy input from the wind or dissipation. In a second step, wind input and whitecapping dissipation are also taken into account and results show the influence of the forcing terms on the evolution of the wave spectrum. In the last step, we consider two more realistic situations with a simple geometry, including wave propagation, namely the fetch-limited case and the slanting fetch case. Model results are compared to measurements from the SHOWEX campaign (1999, Duck, NC, USA). The work presented in this thesis confirms the need to accurately model the nonlinear wave-wave interactions in spectral wave models and shows that these improvements are now feasible, thanks to the GQM method and the algorithm developed in this thesis.
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Elodie Gagnaire-Renou. Amélioration de la modélisation spectrale des états de mer par un calcul quasi-exact des interactions non-linéaires vague-vague. Océan, Atmosphère. Université du Sud Toulon Var, 2009. Français. ⟨tel-00595353⟩

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