Green-Naghdi theory, part A: Green-Naghdi (GN) equations for shallow water waves
β Scribed by William C. Webster; Wenyang Duan; Binbin Zhao
- Book ID
- 107512956
- Publisher
- Harbin Engineering University
- Year
- 2011
- Tongue
- English
- Weight
- 308 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1671-9433
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π SIMILAR VOLUMES
Based on Green-Naghdi equation this work studies unsteady ship waves in shallow water of varying depth. A moving ship is regarded as a moving pressure disturbance on free surface. The moving pressure is incorporated into the Green-Naghdi equation to formulate forcing of ship waves in shallow water.
A pseudo-spectral algorithm is presented for the solution of the rotating Green-Naghdi shallow water equations in two spatial dimensions. The equations are first written in vorticity-divergence form, in order to exploit the fact that time-derivatives then appear implicitly in the divergence equation