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Green functions for impulsive free-surface flows due to bottom deflections in two-dimensional topographies (2000)

Tyvand, Peder A. ; Storhaug, Aanund R. F.

[S.l.] : American Institute of Physics (AIP)

Physics of Fluids 12 (2000), S. 2819-2833

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ISSN: 1089-7666

Source: AIP Digital Archive

Topics: Physics

Notes: 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. © 2000 American Institute of Physics.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.1290392

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