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Medium amplitude model for internal waves over large topography variation
Ralph Lteif, Bashar Khorbatly
The purpose of this paper is to present the derivation and mathematical analysis of a new asymptotic model that describes the evolution of medium amplitude internal waves propagati…
A new class of higher-ordered/extended Boussinesq system for efficient numerical simulations by splitting operators
Ralph Lteif, Stéphane Gerbi
In this work, we numerically study the higher-ordered/extended Boussinesq system describing the propagation of water-waves over flat topography. A reformulation of the same order o…
Mathematical modeling and numerical analysis for the higher order Boussinesq system
Bashar Bhorbatly, Ralph Lteif, Samer Israwi +1
This study deals with higher-ordered asymptotic equations for the water-waves problem. We considered the higher-order/extended Boussinesq equations over a flat bottom topography in…
A numerical scheme for an improved Green-Naghdi model in the Camassa-Holm regime for the propagation of internal waves
Christian Bourdarias, Stéphane Gerbi, Ralph Lteif
In this paper we introduce a new reformulation of the Green-Naghdi model in the Camassa-Holm regime for the propagation of internal waves over a flat topography derived by Duchêne,…
An improved result for the full justification of asymptotic models for the propagation of internal waves
Samer Israwi, Ralph Lteif, Raafat Talhouk
We consider here asymptotic models that describe the propagation of one-dimensional internal waves at the interface between two layers of immiscible fluids of different densities,…