Various Boussinesq solitary wave solutions

Conference · Sun Dec 31 04:00:00 EST 1995

OSTI ID:260377

Yates, G T ^[1]

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1. 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
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
CALCULATION METHODS
DYNAMIC LOADS
FLUID-STRUCTURE INTERACTIONS
MATHEMATICAL MODELS
OFFSHORE PLATFORMS
RESPONSE FUNCTIONS
WATER WAVES
WAVE FORCES
WAVE PROPAGATION