TECHNICAL PAPERS
Dec 1, 1983

Unified Theory for Flood and Pollution Routing

Publication: Journal of Hydraulic Engineering
Volume 109, Issue 12

Abstract

The physical background and some mathematical aspects of advection‐dispersion models are reviewed. It is shown that flood and pollution routing can be accomplished by the same numerical scheme, derived from the discretization of the purely advective transport equation through exploitation of the scheme's numerical dispersion properties to model the physical dispersion/diffusion behavior of the flow system. Links to traditional storage routing techniques are established. Relation between physical and numerical model parameters are presented, and the numerical properties of the scheme are explored. The paper concludes with a brief survey of fields of application for the numerical advection‐dispersion model.

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References

1.
Cunge, J. A., “On the Subject of a Flood Propagation Computation Method (Muskingum Method),” Journal of Hydraulic Research, International Association for Hydraulic Research, Vol. 7, No. 2, 1969, pp. 205–230.
2.
Dooge, J. C. I., “Linear Theory of Hydrologic Systems,” Technical Bulletin No. 1468, U.S. Department of Agriculture, Washington, D.C., Oct., 1973, pp. 232–266.
3.
“Flood Studies Report,” Vol. III, Flood Routing Studies, Natural Environment Research Council, London, England, 1975.
4.
Hayami, S., “On the Propagation of Flood Waves,” Bulletin No. 1, Disaster Prevention Research Institute, Kyoto University, Japan, Dec., 1951, pp. 1–16.
5.
Henderson, F. M., Open Channel Flow,” Macmillan Publishing Co., New York, N.Y., 1961, pp. 355–398.
6.
Hirt, C. W., “Heuristic Stability Theory for Finite‐Difference Equations,” Journal of Computational Physics, Vol. 2, 1968, pp. 339–355.
7.
Koussis, A. D., Saenz, M. A., and Tollis, I. G., “Pollution Routing in Streams,” Journal of Hydraulic Engineering, ASCE, Vol. 109, No. 12, Dec., 1983, 1636–1651.
8.
Lighthill, M. J., and Whitham, G. B., “On Kinematic Waves I. Flood Movement in Long Rivers,” Proceedings, Royal Society of London, Series A, Vol. 229, 1955, pp. 281–316.
9.
Ponce, V. M., and Theurer, F. D., “Accuracy Criteria in Diffusion Routing,” Journal of the Hydraulics Division, ASCE, Vol. 108, No. HY6, Proc. Paper 17158, June, 1982, pp. 747–757.
10.
Richtmeyer, R. D., and Morton, K. W., Difference Methods for Initial Value Problems, 2nd ed., Interscience Publishers, New York, N.Y., 1967, pp. 85–91.
11.
Weinmann, P. E., and Laurenson, E. M., “Approximate Flood Routing Methods: A Review,” Journal of the Hydraulics Division, ASCE, Vol. 105, No. HY12, Proc. Paper 15057, Dec., 1970, pp. 1521–1536.
12.
Zimmer, D. T., “Storm Drain Design with the Convective‐Diffusive Wave Model,” thesis presented to Vanderbilt University, in Nashville, Tenn., in 1982, in partial fulfillment of the requirements for the degree of Master of Science.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 109Issue 12December 1983
Pages: 1652 - 1664

History

Published online: Dec 1, 1983
Published in print: Dec 1983

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Authors

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Antonis D. Koussis, A. M. ASCE
Assoc. Prof., Dept. of Civ. and Environmental Engrg., Vanderbilt Univ., Nashville, Tenn.

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