The hydrodynamic modelling of an evolving sea

A model of a changing tidal regime in an evolving shallow sea such as the ancient North Sea is developed and solved analytically as a generalization of Taylor's problem. Characteristic scales and coefficients are treated as functions of historical time. The z dependency, dissipative and non-lin...

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Bibliographic Details
Main Author: Haq, Rafiq Ul
Published: London Metropolitan University 1985
Subjects:
Online Access:https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.354315
Description
Summary:A model of a changing tidal regime in an evolving shallow sea such as the ancient North Sea is developed and solved analytically as a generalization of Taylor's problem. Characteristic scales and coefficients are treated as functions of historical time. The z dependency, dissipative and non-linear terms are effectively separated from the governing equations by the use of a Latta expansion. A composite solution is found which takes account of each of these features. A Green's function technique is used to calculate the effects of friction. A sloping bed topography is simulated by a horizontally varying eddy viscosity.