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Modèles numériques pour les vagues et les ondes internes

Abstract : The first part of this dissertation deals with the numerical computation of gravity water waves in 3D. The model solves incompressible Euler's equations with a free surface for poterrtial flows. The combination of the Fast Multipole Algorithm with the Boundary Element Method allows to improve significantly the model efficiency. Two applications are then considered : the overturning of a solitary wave over a three dimensional bottom and spatial wave focusing caused by a wavemaker. In the second part, a more qualitative study is carried out in the framework of internat waves in two dimensions. From a system of Korteweg de Vries type, generalized solitary waves are discussed when the velocity approaches the critical value corresponding to the occurence of fronts. These solutions result from the resonance between a "table top" solitary wave having a limiting amplitude and a short wave, which propagate at the saure phase speed.
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Contributor : Ens Cachan Bibliothèque <>
Submitted on : Friday, February 23, 2007 - 10:56:06 AM
Last modification on : Monday, February 15, 2021 - 10:39:40 AM
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  • HAL Id : tel-00132969, version 1


Christophe Fochesato. Modèles numériques pour les vagues et les ondes internes. Mathématiques [math]. École normale supérieure de Cachan - ENS Cachan, 2004. Français. ⟨tel-00132969⟩



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