Abstract
A nonlinear, dispersive, dissipative shallow water theory in two horizontal dimensions is developed to study the waves produced by the bidirectional, translational, oscillatory motion of a rectangular tank partially filled with liquid. An efficient finite difference technique is used to solve the resulting system of equations. Numerical results are presented which illustrate the form of the generated wave profile and its development in time for a range of geometric and excitation parameters. The computed results show the influence of the direction, duration and frequency of excitation, liquid depth and dispersive effects on the wave motions.
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