Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5011758 | Computers & Fluids | 2017 | 62 Pages |
Abstract
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 etâ¯al. [18]. These new Green-Naghdi systems are adapted to improve the frequency dispersion of the original model, they share the same order of precision as the standard one but have an appropriate structure which makes them much more suitable for the numerical resolution. We develop a second order splitting scheme where the hyperbolic part of the system is treated with a high-order finite volume scheme and the dispersive part is treated with a finite difference approach. Numerical simulations are then performed to validate the model and the numerical methods.
Keywords
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Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Christian Bourdarias, Stéphane Gerbi, Ralph Lteif,