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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v33.i1.60
pages 76-105

Impulsive Free-Surface Flow Due to Rapid Deflection of an Initially Horizontal Bottom. Part II. Spatial Dependency

K. B. Haugen
Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, P. O. Box 5003, 1432 As, Norway
P. A. Tyvand
Department of Mathematical Sciences and Technology, Norwegian University of Life Sciences, P. O. Box 5003, 1432 As, Norway

RÉSUMÉ

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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