Abstract
One-dimensional numerical tidal models are frequently used by civil engineers. Whether the engineer is developing in-house software or running a commercially available package, some form of quality assurance testing needs to be undertaken so that he/she can be confident that there are no errors in the computer code. The practical operating characteristics of the numerical scheme employed in the model also need to be assessed.
The problem addressed in this paper is how should the engineer check the veracity of the model output, bearing in mind that exact solutions to the non-linear equations of motion are not available? Four possible strategies are considered involving the use of: field data, simplified analytical solutions, laboratory data and alternative numerical solutions. The advantages and disadvantages of these strategies are discussed with reference to a set of numerical solutions for the case of tidal propagation in a simple idealised estuary.
It is concluded that laboratory data offers the best source of objective validation data, but difficulties remain with the representation of frictional resistance.
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References
Abbott, M.B. and Basco, D.R. Computational Fluid Dynamics: An Introduction for Engineers, Longman, Harlow, 1989.
Bowers, D.G. and Lennon, G.W. Tidal Progression in a Near-Resonant System-A Case Study from South Australia, Estuarine, Coastal & Shelf Science, Vol.30, pp 17–34, 1990.
Cunge, J.A., Holly, F.M. and Verwey, A. Practical Aspects of Computational River Hydraulics, Pitman, London, 1980.
Ippen, A.T. (Ed.). Estuary and Coastline Hydrodynamics. McGraw-Hill, New York, 1966.
Knight, D.W. Theoretical Studies of Long Wave Propagation in Estuaries of Finite Length, Proceedings of the International Symposium on River Mechanics, Bangkok, Thailand, 1973, Vol.3, pp. 327–338, IAHR, 1973.
Knight, D.W. Long Wave Propagation in an Idealised Estuary, Journal of the Hydraulics Division, ASCE, Vol.99, HY7, July, pp. 993–1007, 1973.
Knight, D.W. Some Field Measurements Concerned with the Behaviour of Resistance Coefficients in a Tidal Channel, Estuarine, Coastal & Shelf Science, Vol.12, pp 303–322, 1981.
Knight, D.W. and Ridgway, M.A. An Experimental Investigation of Tidal Phenomena in a Rectangular Estuary, Proceedings of the International Symposium on Unsteady Flow in Open Channels, Cranfield, pp 25–40, BHRA, 1976.
Knight, D.W. and Ridgway, M.A. Velocity Distribution in Unsteady Open Channel Flow with Different Boundary Roughnesses, Proceedings of the 17th IAHR Congress, Baden-Baden, Germany, Vol. 2, pp. 437–444, IAHR, 1977.
Liggett J.A. and Cunge J.A. Numerical Methods of Solution of the Unsteady Flow Equations. Chapter 4, Unsteady Flow in Open Channels (Eds. Mahmood K. & Yevjevich V.), Vol.1, pp. 89–182, Water Resources Publications, Fort Collins, Colorado, 1975.
Lynch, D.R. and Gray, W.G. Analytical Solutions for Computer Flow Model Testing, Journal of the Hydraulic Division, ASCE, Vol. 104, HY10, Oct, pp. 1409–1428, 1978.
Needham, D.J. A Simple Model Describing the Tidal Flow in an Alluvial River, Geophysical and Astronomical Fluid Dynamics, Vol.41, pp. 129–140, 1988.
Ostendorf, D.W. Linearised Tidal Friction in Uniform Channels, Journal of Hydraulic Engineering, ASCE, Vol.110, HY7, July, pp. 867–885, 1984.
Prandle, D. Generalised Theory of Estuarine Dynamics. Part III, Physics of Shallow Estuaries and Bays, (Ed. van de Kreeke, J.), Lecture Notes on Coastal and Estuarine Studies, Vol.16, pp.42–57, Springer, Berlin, 1986.
Proudman, J. Oscillations of Tide and Surge in an Estuary of Finite Length, Journal of Fluid Mechanics, Vol.2, pp. 371–382, 1957.
Ridgway, M.A. An Experimental Study of Tidal Propagation in a Rectangular Estuary, PhD Thesis, University of Birmingham, 1975.
Samuels, P.G. and Skeels, C.P. Stability Limits for Preissmann’s Scheme, Journal of Hydraulic Engineering, ASCE, Vol. 116, No.8, August, pp. 997–1012, 1990.
Wallis, S.G. (1982). The Simulation of Tidal Flows in Natural and Idealised Estuaries, PhD Thesis, University of Birmingham, 1982.
Wallis, S.G. and Knight, D.W. Calibration Studies Concerning a One-Dimensional Numerical Tidal Model with Particular Reference to Resistance Coefficients, Estuarine, Coastal & Shelf Science, Vol. 19, pp. 541–562, 1983.
Wallis, S.G. and Knight, D.W. Tidal Propagation in Rectangular Estuaries, In preparation.
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© 1992 Computational Mechanics Publications
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Wallis, S.G., Knight, D.W. (1992). On Quality Assurance for Numerical Tidal Models. In: Partridge, P.W. (eds) Computer Modelling of Seas and Coastal Regions. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2878-0_12
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DOI: https://doi.org/10.1007/978-94-011-2878-0_12
Publisher Name: Springer, Dordrecht
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