Green functions for impulsive free-surface flows due to bottom deflections in two-dimensional topographies

An analytical investigation is performed of the initial free-surface flow subject to an impulsive concentrated unit flux through an arbitrary point at an otherwise impermeable boundary. The flow is assumed incompressible, inviscid, irrotational and two-dimensional. It obeys a zero-potential conditio...

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Bibliographic Details
Published inPhysics of fluids (1994) Vol. 12; no. 11; pp. 2819 - 2833
Main Authors Tyvand, Peder A., Storhaug, Aanund R. F.
Format Journal Article
LanguageEnglish
Published 01.11.2000
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Summary:An analytical investigation is performed of the initial free-surface flow subject to an impulsive concentrated unit flux through an arbitrary point at an otherwise impermeable boundary. The flow is assumed incompressible, inviscid, irrotational and two-dimensional. It obeys a zero-potential condition at the horizontal free surface. This problem of impulsive Green functions is solved for various bottom topographies, such as sloping beaches, submerged ridges, and finite basins. The basic result in each case is the normal derivative of the velocity potential along the free surface, which represents the initial surface velocity due to the concentrated impulsive flux. The results have relevance to tsunami modeling.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.1290392