A numerical scheme for an improved Green-Naghdi model in the Camassa-Holm regime for the propagation of internal waves

DOI10.1016/j.compfluid.2017.07.012zbMath1390.76400arXiv1702.02810OpenAlexW2735471460MaRDI QIDQ1648459

Ralph Lteif, Stéphane Gerbi, Christian Bourdarias

Publication date: 27 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.02810

zbMATH Keywords

dispersive wavesfinite volumefinite differencesplitting methodnonlinear interactionshybrid methodGreen-Naghdi modelhigh order schemeWENO reconstructionnonlinear shallow waterimproved dispersion

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Internal waves for incompressible inviscid fluids (76B55) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items

A new class of higher-ordered/extended Boussinesq system for efficient numerical simulations by splitting operators ⋮ Well-balanced numerical resolution of the two-layer shallow water equations under rigid-lid with wet-dry fronts ⋮ The solution of nonlinear Green-Naghdi equation arising in water sciences via a meshless method which combines moving Kriging interpolation shape functions with the weighted essentially non-oscillatory method ⋮ A Generalised Serre-Green-Naghdi Equations for Variable Rectangular Open Channel Hydraulics and Its Finite Volume Approximation ⋮ A Numerical Scheme for the Propagation of Internal Waves in an Oceanographic Model

Uses Software

• Matlab
• HE-E1GODF

Cites Work

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