Analysis of Nonlinear Muskingum Flood Routing
Publication: Journal of Hydraulic Engineering
Volume 113, Issue 1
Abstract
The three‐parameter nonlinear Muskingum method for flood routing is analyzed. Analytical solutions for simplifying cases and approximate integral solutions for general cases are derived. Its accuracy depends mainly on the parameter k. Unlike the linear case, the weighting factor is much less significant. A comparison with the linear case using four sets of inflow‐outflow data shows that the nonlinear method is less accurate than its linear counterpart. Also, the accuracy varies from one nonlinear version to another.
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References
1.
Bakhmeteff, B. A., Hydraulics of Open Channels, English Society Monograph, McGraw‐Hill, New York, N.Y., 1932.
2.
Chow, V. T., Open Channel Hydraulics, McGraw‐Hill, New York, N.Y., 1959.
3.
Cunge, J. A., “On the Subject of Flood Propagation Computation Method (Muskingum Method),” Journal of Hydraulic Research, Vol. 7, No. 2, pp. 205–230.
4.
Diskin, M. H., “On the Solution of the Muskingum Method of Flood Routing Equation,” Journal of Hydrology, Vol. 5, 1967, pp. 286–289.
5.
Gill, M. A., “Flood Routing by the Muskingum Method,” Journal of Hydrology, Vol. 36, 1978, pp. 353–363.
6.
Lawler, E. A., “Hydrology of Flow Control,” Handbook of Applied Hydrology, V. T. Chow, Ed., McGraw‐Hill, New York, N.Y., 1964, pp. 34–55.
7.
Linsley, R. K., Kohler, M. A., and Paulhus, J. L. H., Hydrology for Engineers, McGraw‐Hill, New York, N.Y., 1958.
8.
Mahmood, K., and Yevjevich, V., Eds., “Unsteady Flow in Open Channels,” Vols. I, II, Water Research Publications, Fort Collins, Colo., 1975.
9.
McCarthy, G. T., “The Unit Hydrograph and Flood Routing,” Presented at Conference of the North Atlantic Division, U.S. Army Corps of Engineers, 1938, (unpublished).
10.
Ponce, V. M., “Simplified Muskingum Routing Equation,” Journal of the Hydraulic Division, ASCE, Vol. 195, No. HY1, Jan., 1979, pp. 85–91.
11.
Ponce, V. M., and Yevjevich, V., “Muskingum‐Cunge Method with Variable Parameters,” Journal of the Hydraulic Division, ASCE, Vol. 104, No. HY12, Dec., 1978, pp. 1663–1667.
12.
Scarlatos, P. D., “A Pure Finite Element Method for the Saint Venant Equations,” Coastal Engineering, Vol. 6, 1982, pp. 27–45.
13.
Singh, V. P., and McCann, R. C., “A Study of the Muskingum Method of Flood Routing,” Mississippi Engineering Industrial Research Station, Tech. Rep. MSSU‐EIRS‐CE‐80‐2, Mississippi State Univ., Mississippi State, Miss., 1979, p. 71.
14.
Singh, V. P., and McCann, R. C., “Quick Estimation of Parameters of Muskingum Method of Flood Routing,” Proceedings, 14th Annual Mississippi Water Resource Conference, Jackson, Miss., Sept., 1979, pp. 65–70.
15.
Singh, V. P., and McCann, R. C., “Some Notes on Muskingum Method of Flood Routing,” Journal of Hydrology, Vol. 48, Nos. 3/4, 1980, pp. 343–361.
16.
Singh, V. P., “Approximate Integral Solutions for Flood Routing by the Muskingum Method,” Proceedings, 20th International Association of Hydraulic Research Congress, Vol. 6, Moscow, USSR, Sept., 1983, pp. 480–486.
17.
Taylor, C., and Davis, J., “Finite Element Numerical Modeling of Flow and Dispersion in Estuaries,” International Symposium on River Mechanics, IAHR, Proc. Paper C39, Thailand, 1973.
18.
Wilson, E. M., Engineering Hydrology, McMillan, London, England, 1974.
19.
Viessman, W., Knapp, J. W., Lewis, G. L., and Harbaugh, T. E., Introduction to Hydrology, Harper and Row, New York, N.Y., 1977.
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Copyright © 1987 ASCE.
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Published online: Jan 1, 1987
Published in print: Jan 1987
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