Numerical comparisons of two long-wave limit models
Labbé, Stéphane ; Paumond, Lionel
HAL, hal-00086946 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-07-05
Classification:  Benney-Luke,  Kadomtsev-Petviashvili,  spectral method,  long wave limit,  35L05, 35Q51, 35Q53, 65M70, 65J15,  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA] 
@article{hal-00086946,
     author = {Labb\'e, St\'ephane and Paumond, Lionel},
     title = {Numerical comparisons of two long-wave limit models},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00086946}
}

Labbé, Stéphane; Paumond, Lionel. Numerical comparisons of two long-wave limit models. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00086946/