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A numerical scheme for the Green–Naghdi model

✍ Scribed by O. Le Métayer; S. Gavrilyuk; S. Hank

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
814 KB
Volume
229
Category
Article
ISSN
0021-9991

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✦ Synopsis

In this paper a hybrid numerical method using a Godunov type scheme is proposed to solve the Green-Naghdi 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.

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