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A Lagrangian model for wave-induced harbour oscillations

Zelt, J. A. and Raichlen, F. (1990) A Lagrangian model for wave-induced harbour oscillations. Journal of Fluid Mechanics, 213 . pp. 203-225. ISSN 0022-1120. doi:10.1017/S0022112090002294.

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A set of equations in the Lagrangian description are derived for the propagation of long gravity waves in two horizontal directions for the purpose of determining the response of harbours with sloping boundaries to long waves. The equations include terms to account for weakly nonlinear and dispersive processes. A finite element formulation for these equations is developed which treats the propagation of transient waves in regions of arbitrary shape with vertical or sloping boundaries. Open boundaries are treated by specifying the wave elevation along the boundary or by applying a radiation boundary condition to absorb the waves leaving the computational domain. Nonlinear aspects of the interaction of long gravity waves with sloping boundaries and frequency dispersion due to non-hydrostatic effects are investigated. Results from the model are then compared with laboratory experiments of the response to long-wave excitation of a narrow rectangular harbour with a depth that decreases linearly from the entrance to the shore line.

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Additional Information:Copyright © 1990 Cambridge University Press. Reprinted with permission. (Received 30 May 1989 and in revised form 24 August 1989) This research was conducted at the California Institute of Technology and supported by the National Science Foundation Grant Nos. CEE79-12434, CEE81-15457, and CEE84-10087. J.A.Z. would like to thank John Hall for many helpful suggestions, and the Australian Marine Sciences and Technologies Grant Scheme (Grant No. 84-1894) for providing funding while writing part of this manuscript.
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Deposited On:30 Nov 2006
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