Abstract
The Boussinesq-type equations in terms of velocity potential are adopted for the solutions of three-dimensional nonlinear sloshing motions in a shallow-water rectangular tank. The total velocity potential is divided into two parts: a particular solution and the rest which is calculated by the Boussinesq-type equations. Particular solutions of six degrees of freedom motions are constructed. The fully nonlinear free surface boundary conditions are satisfied and finite difference scheme is adopted for the spatial derivatives. The free surface profiles in tank with external excitation frequencies close to the first natural frequency are presented. Numerical results demonstrate that the Boussinesq-type equations with particular solutions can accurately model nonlinear sloshing waves in shallow-water rectangular tank.
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