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Dispersive shallow water wave modelling. Part I: Model derivation on a globally flat space
Abstract : In this paper, we review the history and current state-of-the-art in the modelling of long nonlinear dispersive waves. For the sake of conciseness of this review, we omit the unidirectional models and focus especially on some classical and improved Boussinesq-type and Serre-Green-Naghdi equations. Finally, we propose also a unified modelling framework which incorporates several well-known and some less known dispersive wave models. The present manuscript is the first part of a series of two papers. The second part will be devoted to the numerical discretization of a practically important model on moving adaptive grids.
Cited literature [77 references]
https://hal.archives-ouvertes.fr/hal-01547833
Contributor : Denys DUTYKH Connect in order to contact the contributor
Submitted on : Tuesday, May 1, 2018 - 12:02:28 PM
Last modification on : Wednesday, November 3, 2021 - 6:17:36 AM
Long-term archiving on: : Tuesday, September 25, 2018 - 3:22:42 AM
Contributor : Denys DUTYKH Connect in order to contact the contributor
Submitted on : Tuesday, May 1, 2018 - 12:02:28 PM
Last modification on : Wednesday, November 3, 2021 - 6:17:36 AM
Long-term archiving on: : Tuesday, September 25, 2018 - 3:22:42 AM
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