BOUHARGUANE, Afaf; MELINAND, Benjamin

Metadatos

Licencia de uso del documento

BOUHARGUANE, Afaf
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
Institut de Mathématiques de Bordeaux [IMB]

MELINAND, Benjamin
Institut de Mathématiques de Bordeaux [IMB]

Idioma

Article de revue

Este ítem está publicado en

IMA Journal of Numerical Analysis. 2017-07-29

Oxford University Press (OUP)

Resumen en inglés

In this paper we derive and prove the wellposedness of a deep water model that generalizes the Saut-Xu system for nonflat bottoms. Then, we present a new numerical method based on a splitting approach for studying this system. The advantage of this method is that it does not require any low pass filter to avoid spurious oscillations. We prove a local error estimate and we show that our scheme represents a good approximation of order one in time. Then, we perform some numerical experiments which confirm our theoretical result and we study three physical phenomena : the evolution of water waves over a rough bottom; the evolution of a KdV soliton when the shallowness parameter increases; the homogenization effect of rapidly varying topographies on water waves.< Leer menos

Palabras clave en inglés

deep water

splitting scheme

URI

https://oskar-bordeaux.fr/handle/20.500.12278/193728

Proyecto ANR

DYnamique des Fluides, Couches Limites, Tourbillons et Interfaces - ANR-13-BS01-0003

Orígen

Importado de Hal

Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251