A numerical scheme for the GreenNaghdi model
In this paper a hybrid numerical method using a Godunov type scheme is proposed to solve the GreenNaghdi model describing dispersive shallow water waves. The corresponding equations are rewritten in terms of new variables adapted for numerical studies. In particular, the numerical scheme preserves the dynamics of solitary waves. Some numerical results are shown and compared to exact and/or experimental ones in different and significant configurations. A dam-break problem and an impact problem where a liquid cylinder is falling to a rigid wall are solved numerically. This last configuration is also compared with experiments leading to a good qualitative agreement.
greennaghdi model solitary waves dispersive waves godunov type method