Generation of water waves and bores by impulsive bottom flux

M. Landrini and P. A. Tyvand
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M. Landrini: The Italian Ship Model Basin, INSEAN
P. A. Tyvand: Agricultural University of Norway, Department of Agricultural Engineering

A chapter in Practical Asymptotics, 2001, pp 131-170 from Springer

Abstract: Abstract The inviscid free-surface flow due to an impulsive bottom flux on constant depth is investigated analytically and numerically. The following classes of two-dimensional flow are considered: an upwelling flow which is uniform over a half-plane, a line source/sink, and a dipole aligned along the bottom. The bottom flux is turned on impulsively and may decay with time. The fully nonlinear problem is solved numerically. A smalltime asymptotic expansion to third order is found for the nonlinear problem. An asymptotic large-time solution is found for the linearized problem. A steady source will generate a pair of symmetric bores, and their breaking is investigated. A steady sink generates a depression wave if it is weak, and dip instability if it is strong. Wave breaking will occur for intermediate sink strengths. A decaying source emits solitary waves.

Keywords: nonlinear free-surface flows; small-time expansion; boundary-integral equations; impulsive flows; water waves; bores (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-010-0698-9_8

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DOI: 10.1007/978-94-010-0698-9_8

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