Various Boussinesq solitary wave solutions
- Univ. of Hong Kong (Hong Kong). Dept. of Mechanical Engineering
The generalized Boussinesq (gB) equations have been used to model nonlinear wave evolution over variable topography and wave interactions with structures. Like the KdV equation, the gB equations support a solitary wave solution which propagates without changing shape, and this solitary wave is often used as a primary test case for numerical studies of nonlinear waves using either the gB or other model equations. Nine different approximate solutions of the generalized Boussinesq equations are presented with simple closed form expressions for the wave elevation and wave speed. Each approximates the free propagation of a single solitary wave, and eight of these solutions are newly obtained. The author compares these solutions with the well known KdV solution, Rayleigh`s solution, Laitone`s higher order solution, and ``exact`` numerical integration of the gB equations. Existing experimental data on solitary wave shape and wave speed are compared with these models.
- OSTI ID:
- 260377
- Report Number(s):
- CONF-950604-; ISBN 1-880653-19-2; TRN: IM9632%%36
- Resource Relation:
- Conference: 5. international conference on offshore and polar engineering, The Hague (Netherlands), 11-15 Jun 1995; Other Information: PBD: 1995; Related Information: Is Part Of Proceedings of the fifth (1995) international offshore and polar engineering conference. Volume 3; Chung, J.S. [ed.] [Colorado School of Mines, Golden, CO (United States)]; Maeda, Hisaaki [ed.] [Univ. of Tokyo (Japan)]; Kim, C.H. [ed.] [Texas A and M Univ., College Station, TX (United States)]; PB: 753 p.
- Country of Publication:
- United States
- Language:
- English
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