A numerical scheme for the Green–Naghdi model
| Autor: | Sergey Gavrilyuk, O. Le Métayer, S. Hank |
|---|---|
| Rok vydání: | 2010 |
| Předmět: |
Numerical Analysis
Physics and Astronomy (miscellaneous) Applied Mathematics Numerical analysis Type scheme Godunov's scheme Calculation methods Computer Science Applications Cylinder (engine) law.invention Computational Mathematics Waves and shallow water Classical mechanics law Modeling and Simulation Scheme (mathematics) Applied mathematics Rigid wall Mathematics |
| Zdroj: | Journal of Computational Physics. 229:2034-2045 |
| ISSN: | 0021-9991 |
| DOI: | 10.1016/j.jcp.2009.11.021 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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