A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model

Key words : Green–Naghdi model, Nonlinear shallow water, Dispersive waves, Nonlinear interactions, Improved dispersion, Splitting method, Hybrid method, Finite volume,

Thus, in some sense the dynamics of SGN equations are similar to the Korteweg – de Vries (KdV) equation where smooth solitary waves (of elevation) emerge [13] and also similar to

Left: modulus of the Fourier coefficients of the numer- ical solution to the SGN equations for solitary wave initial data with c = 2 at t=1; right: the difference between this

(ii) variations in the production of the Mercosur sectors are unbalanced in the case of a free trade area with Europe (strong increase in agricultural production, significant

In Section 3, the ability of the model to simulate deep water cases is demonstrated before the model is validated by comparing simulation results to experimental data for

Comparison of fully non linear and weakly nonlinear potential flow solvers for the study of wave energy converters undergoing large amplitude of motions... COMPARISON OF FULLY

A high-order nite volume scheme is developed to numerically integrate a fully nonlinear and weakly dispersive set of Boussinesq-type equations (the so-called Serre equations) (J..

Water waves, shallow-water approximation, bottom topography, Extended Green-Naghdi equations, highly-dispersive model, large amplitude model, surface tension.. ú Laboratory