Numerical Solution of Muskingum Equation
Publication: Journal of Hydraulic Engineering
Volume 118, Issue 5
Abstract
It has been specified in several past publications that the computational time interval should be taken equal to or greater than 2KX to avoid computing negative outflows; K and X are parameters in the Muskingum equations. It is suggested herein that such a specification may need to be imposed only on the first computational time interval; subsequent time intervals can be selected as small as one may practically desire. The first time step, of the order of 2KX, is identified with the time lag parameter previously advocated by the writer. The proposed method of computation is explained by solving a numerical example. Using a time lag of 4.57 hr in this example, the outflow hydrograph is computed with a time step of 1 hr. The computed hydrograph is realistic and satisfies the flow continuity requirement.
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References
1.
Boneh, A., and Golan, A. (1979). “Instantaneous unit hydrograph with negative ordinates—Possible?” Water Resour. Res., 15(1), 121–130.
2.
Dooge, J. C. I. (1973). “Linear theory of hydraulic systems.” Technical Bulletin No. 1468, Agric. Res. Service, U.S. Dept. of Agriculture, Washington, D.C., 254–255.
3.
Gill, M. A. (1984). “Time lag solution of the Muskingum flood routing equation.” Nordic Hydrol, 15(3), 145–154.
4.
Gill, M. A. (1985). “Use of time lag in Muskingum method of flood routing.” Hsieh Wen Shen et al., eds., Proc. 4th Int. Hydrol. Symp., Colorado State Univ., Fort Collins, Colo., 906–917.
5.
Hjelmfelt, A. T. (1985). “Negative outflows from Muskingum flood routing.” J. Hydr. Engrg., ASCE, 111(6), 1010–1014.
6.
Koussis, A. D. (1980). “Comparison of Muskingum method difference schemes.” J. Hydr. Div., ASCE, 106(5), 925–929.
7.
Nash, J. E. (1959). “A note on the Muskingum flood routing method.” J. Geophys Res., 64(8), 1053–4056.
8.
Weinmann, P. E., and Laurenson, E. M. (1979). “Approximate flood routing methods: A review.” J. Hydr. Div., ASCE, 105(12), 1521–1536.
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Copyright © 1992 ASCE.
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Published online: May 1, 1992
Published in print: May 1992
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