The fully nonlinear and weakly dispersive Green-Naghdi model for shallow water waves of large amplitude is studied. The original model is first recast under a new formulation more suitable for numerical resolution. An hybrid finite volume and finite difference splitting approach is then proposed, wh
Numerical Simulation of Strongly Nonlinear and Dispersive Waves Using a Green–Naghdi Model
✍ Scribed by F. Chazel; D. Lannes; F. Marche
- Publisher
- Springer US
- Year
- 2010
- Tongue
- English
- Weight
- 585 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0885-7474
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
A numerical method for simulating periodic travelling-wave solutions of some nonlinear dispersive wave equations is proposed. The construction of the scheme is based on an efficient computation of the elements that characterize these solutions: the initial profile and the velocity of the wave.
Internal waves are modelled in two different circumstances: in a continuously stratified fluid and at the interface between two immiscible fluids. This is done using the lattice gas approach. The standard single phase model and an immiscible two-phase model are both modified to incorporate gravitati
The present paper makes use of a wave equation formulation of the primitive shallow water equations to simulate one-dimensional free surface flow. A numerical formulation of the boundary element method is then developed to solve the wave continuity equation using a time-dependent fundamental solutio