Abstract
An analytical third-order small-time expansion is developed for inviscid, incompressible free-surface flow generated by impulsive deflection of an initially horizontal bottom. The deflection is rapid, and the deflection function is assumed separable in space and time. Nonlinear effects are taken into account at the bottom as well as at the free surface. The theory is formulated in both two and three dimensions. The spatial solutions to each order are given in terms of Fourier integrals. These solutions are evaluated numerically for rising rectangular and cylindrical blocks. * * *
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