Variable-Parameter Stage-Hydrograph Routing Method. I: Theory
Publication: Journal of Hydrologic Engineering
Volume 3, Issue 2
Abstract
An approach for developing a simplified variable-parameter stage-hydrograph routing method from the Saint Venant equations is proposed for routing floods in any shape of prismatic channel and flow following a generalized friction law. This approach enables one to relate the parameters of the routing equation to the channel and flow characteristics, and also enables the development of a theoretically based procedure for varying these parameters at every routing time level. Further, it allows the simultaneous computation of the discharge hydrographs corresponding to given input-stage and routed-stage hydrographs.
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References
1.
Apollov, B. A., Kalinin, G. P., and Komarov, V. D. (1964). Hydrological forecasting. Israel Program for Scientific Translations, Jerusalem, Israel (translated from Russian).
2.
Chow, V. T. (1959). Open channel hydraulics. McGraw-Hill Book Co. Inc., New York, N.Y.
3.
Cunge, J. A.(1969). “On the subject of a flood propagation computation method (Muskingum method).”J. Hydr. Res., Delft, The Netherlands, 7(2), 205–230.
4.
Dooge, J. C. I., Strupczewski, W. G., and Napiorkowski, J. J.(1982). “Hydrodynamic derivation of storage parameters of the Muskingum model.”J. Hydro., Amsterdam, The Netherlands, 54, 371–387.
5.
Flood studies report. (1975). Vol. 3, Flood routing studies, Natural Environment Research Council, London, U.K.
6.
Franchini, M., and Lamberti, P.(1994). “A flood routing Muskingum type simulation and forecasting model based on level data alone.”Water Resour. Res., 30(7), 2183–2196.
7.
Gonwa, W. S., and Kavvas, M. L.(1986). “A modified diffusion equation for flood propagation in trapezoidal channels.”J. Hydro., Amsterdam, The Netherlands, 83, 119–136.
8.
Hayami, S.(1951). “On the propagation of flood waves.”Bull. Disaster Prevention Res. Inst., Kyoto, Japan, 1, 1–16.
9.
Henderson, F. M. (1966). Open channel flow. Macmillan and Co., New York, N.Y.
10.
Jolly, J. P., and Yevjevich, V. (1971). “Amplification criterion of gradually varied, single peaked waves.”Hydro. Paper No. 51, Colorado State Univ., Fort Collins, Colo.
11.
Lighthill, M. J., and Whitham, G. B.(1955). “On kinematic waves. I: Flood movement in long rivers.”Proc., Royal Soc., London, U.K., Series A, 229, 281–316.
12.
Miller, W. A., and Cunge, J. A. (1975). “Simplified equations of unsteady flow.”Symp. on Unsteady Flow in Open Channels, Water Resources Publications, Fort Collins, Colo.
13.
Perumal, M.(1994). “Hydrodynamic derivation of a variable parameter Muskingum method. 1: Theory and solution procedure.”Hydrological Sci. J., Oxford, U.K., 39(5), 431–442.
14.
Perumal, M. (1995). “Variable parameter flood routing using hydrodynamic principles,” PhD thesis, Dept. of Civ. Engrg., Univ. of Roorkee, Roorkee, India.
15.
Perumal, M., and Ranga Raju, K. G.(1998). “Variable-parameter stage-hydrograph routing method. II: Evaluation.”J. Hydrologic Engrg., ASCE, 3(2), 115–121.
16.
Ponce, V. M.(1991). “New perspective on the Vedernikov number.”Water Resour. Res., 27(7), 1777–1779.
Information & Authors
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Published In
Journal of Hydrologic Engineering
Volume 3 • Issue 2 • April 1998
Pages: 109 - 114
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Apr 1, 1998
Published in print: Apr 1998
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