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Article Dans Une Revue ESAIM: Mathematical Modelling and Numerical Analysis Année : 2004

Numerical comparisons of two long-wave limit models

Stéphane Labbé
EDP
Lionel Paumond
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Résumé

The Benney-Luke equation (BL) is a model for the evolution of three-dimensional weakly nonlinear, long water waves of small amplitude. In this paper we propose a nearly conservative scheme for the numerical resolution of (BL). Moreover, it is known that (BL) is linked to the Kadomtsev-Petviashvili equation for almost one-dimensional waves propagating in one direction. We study here numerically the link between (KP) and (BL) and we point out the coupling effects emerging by considering two solitary waves propagating in two opposite directions.
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Dates et versions

hal-00086946 , version 1 (20-07-2006)

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Stéphane Labbé, Lionel Paumond. Numerical comparisons of two long-wave limit models. ESAIM: Mathematical Modelling and Numerical Analysis, 2004, 38, pp. 419-436, n. 3. ⟨10.1051/m2an:2004020⟩. ⟨hal-00086946⟩
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