Research Article
Aug 1982
New Method for Tidal Current Computation
Authors: Jean Pierré Benque, Jean A. Cunge, M.ASCE, Jacques Feuillet, Alain Hauguel, and Forrest M. Holly Jr., M.ASCEAuthor Affiliations
Publication: Journal of the Waterway, Port, Coastal and Ocean Division
Volume 108, Issue 3
Abstract
The computation of two-dimensional tidal currents using the Alternating Direction Implicit Method (ADI) can be subject to numerical attenuation, parasitic oscillations, and poor reproduction of wave propagation when large time steps are used. The new method described in the paper is designed to overcome these difficulties. It is based on a fractional step method in which momentum advection is calculated using the method of characteristics, horizontal momentum diffusion is calculated using an implicit finite difference scheme, and wave propagation is calculated using an iterative alternating direction implicit algorithm. The resulting method has been incorporated in the CYTHERE-ES1 modelling system, in which tidal flat flooding and drying as well as wind effects and Coriolis acceleration are taken into account. The basic principles of the method, as well as its application to four schematic test cases and two engineering studies, are described.
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Published In
Journal of the Waterway, Port, Coastal and Ocean Division
Volume 108 • Issue 3 • August 1982
Pages: 396 - 417
Copyright
© 1982 American Society of Civil Engineers.
History
Published in print: Aug 1982
Published online: Feb 12, 2021
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Authors
Affiliations
Jean Pierré Benque
Head, Research Branch, Laboratoire National d'Hydraulique, Chatou, France
Jean A. Cunge, M.ASCE
Head, Applied Math. Dept., SOGREAH, Grenoble, France
Jacques Feuillet
Research Engr., Maritime Hydr. Branch, Laboratoire National d'Hydraulique, Chatou, France
Alain Hauguel
Research Engr., Maritime Hydr. Branch, Laboratoire National d'Hydraulique, Chatou, France
Forrest M. Holly Jr., M.ASCE
Engr., Applied Math. Dept., SOGREAH, Grenoble, France
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