TECHNICAL PAPERS
Sep 1, 1986

Practical Aspects of Accurate Tidal Computations

Publication: Journal of Hydraulic Engineering
Volume 112, Issue 9

Abstract

Alternating Direction Implicit (ADI) methods are widely used for the approximation of shallow water equations. For calibration the size of the timestep is often based upon the so‐called propagation factor. This factor gives only a minor indication of the numerical propagation speed of the tidal wave. It is shown that the numerical propagation speed depends entirely on the geometry and the bathymetry combined with the spatial gridsize and the timestep. Another factor that influences the propagation of the tidal wave in a computational model is the numerical simulation of intertidal flats. Numerical examples are given.

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References

1.
Benqué, J. P., Cunge, J. A., Feuillet, J. P., Haugel, A., and Holly, F. M., “New Method of Tidal Current Computation,” Journal of the Waterway, Port, Coastal and Ocean Division, ASCE, 1982, pp. 396–417.
2.
Leendertse, J. J., “Aspects of a Computational Model for Long Period Water Wave Propagation,” Memorandum RM‐5294‐PR, Rand Corp., Santa Monica, Calif., 1967.
3.
Leendertse, J. J., “A Water Quality Simulation Model for Well Mixed Estuaries and Coastal Seas,” Principles of Computation, Vol. I, RM‐6230‐RC, Rand Corp., 1970.
4.
Stelling, G. S., “On the Construction of Computational Methods for Shallow Water Flow Problems,” thesis presented to the Delft University of Technology, at Delft, The Netherlands, in 1983, in partial fulfillment of the requirements of the degree of Doctor of Philosophy. Also appeared as Rijkswaterstaat Communications, No. 35, The Hague, The Netherlands, 1984.
5.
Stelling, G. S., and Willemse, J. B. Th. M., “Remarks about a Computational Method for the Shallow Water Equations that Works in Practice,” Colloquium Topics in Applied Numerical Analysis, J. C. Verwer, Ed., C.W.I. syllabus no. 5, Centre for Mathematics and Informatics, Amsterdam, 1984, pp. 337–361.
6.
Stelling, G. S., and Willemse, J. B. Th. M., “A Computational Model for Shallow Water Flow Problems on the Cyber 205,” Super Computer, 1985, to be published.
7.
Willemse, J. B. Th. M., Stelling, G. S., and Verboom, G. K., “Solving the Shallow Water Equations with an Orthogonal Coordinate Transformation,” Proceedings, International Symposium on Computational Fluid Dynamics, Tokyo, Japan, 1985.
8.
Weare, T. J., “Errors Arising from Irregular Boundaries in ADI Solutions of the Shallow Water Equations,” International Journal for Numerical Methods in Engineering, Vol. 14, 1979, pp. 921–931.

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 112Issue 9September 1986
Pages: 802 - 816

History

Published online: Sep 1, 1986
Published in print: Sep 1986

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Authors

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Guus S. Stelling
Dr. Sr. Mathematician, Data Processing Div., Rijkswaterstaat (Watercontrol and Public Works Dept.), Nederlandse Philips Bedrijven B.V. Corporate CAD Centre, Bldg. SAQ‐2440, P.O. Box 218, 5600 MD Eindhoven, The Netherlands
A. K. Wiersma
Dr. Sr. Mathematician, Delft Hydr. Lab., P.O. Box 177, 2600 MH Delft, The Netherlands
J. B. T. M. Willemse
Sr. Mathematician, Data Processing Div., Rijkswaterstaat, The Netherlands

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