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A Numerical Scheme for the Propagation of Internal Waves in an Oceanographic Model

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Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems (FVCA 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 200))

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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 to improve the frequency dispersion of the original model. 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.

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References

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Authors and Affiliations

  1. LAMA, UMR 5127 CNRS, Université Savoie Mont Blanc, 73376, Le Bourget du Lac Cedex, France

    Christian Bourdarias & Stéphane Gerbi

  2. Laboratory of Mathematics-EDST, Lebanese University, Beirut, Lebanon

    Ralph Lteif

Authors
  1. Christian Bourdarias
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  2. Stéphane Gerbi
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  3. Ralph Lteif
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Corresponding author

Correspondence to Ralph Lteif .

Editor information

Editors and Affiliations

  1. Equipe RAPSODI, Inria Lille - Nord Europe, Villeneuve-d’Ascq, France

    Clément Cancès

  2. Commissariat à l'énergie atomique et aux énergies alternatives, Centre de Saclay, Gif-sur-Yvette, France

    Pascal Omnes

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Bourdarias, C., Gerbi, S., Lteif, R. (2017). A Numerical Scheme for the Propagation of Internal Waves in an Oceanographic Model. In: Cancès, C., Omnes, P. (eds) Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems. FVCA 2017. Springer Proceedings in Mathematics & Statistics, vol 200. Springer, Cham. https://doi.org/10.1007/978-3-319-57394-6_11

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