Numerical Modeling of Flood Propagation through System of Reservoirs
Publication: Journal of Hydraulic Engineering
Volume 119, Issue 3
Abstract
An explicit numerical flow‐routing model is developed based on the second order McCormack scheme. This paper describes the use of the finite difference scheme for the solution of the St. Venant equations of the one‐dimensional unsteady open channel flow, and the treatment of the boundary problem by the method of characteristics. A case study is presented using the system of reservoirs and the fluvial network of tributaries of the left‐hand side of the Ebro River valley in Spain. To get an estimate of the regulating action provided by those reservoirs during the strong rainfall of the first days of November 1982, the registered inflow and outflow hydrographs are used for the simulation of the propagation of the waves along the watercourses. Results of flow computations are presented and compared with field measurements to show that this model can be considered a suitable technique for hydraulic studies involving rapidly varying flows.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Abbott, M. B. (1975a). “Method of characteristics.” Unsteady flow in open channels, Mahmood and Yevjevich, eds., Water Resources Publications, Ft. Collins, Colo., 63–88.
2.
Abbott, M. B. (1975b). “Weak solutions of the equations of open channel flow.” Unsteady flow in open channels, Mahmood and Yevjevich, eds., Water Resources Publications, Ft. Collins, Colo., 283–310.
3.
Cunge, J. A., Holly, F. M., and Verwey, A. (1980). Practical aspects of computational river hydraulics. Pitman Publishers Inc., London, England.
4.
French, R. H. (1985). Open channel hydraulics. McGraw‐Hill, New York, N.Y.
5.
Garcia‐Navarro, P. (1989). “Estudio de la propagacion de ondas en cursos fluviales,” PhD thesis, University of Zaragoza, Zaragoza, Spain (in Spanish).
6.
Kutler, P. (1975). “Computation of 3‐D inviscid supersonic flow.” Progress in numerical fluid dynamics, Springer‐Verlag, Berlin, Germany.
7.
Lax, P., and Wendroff, B. (1960). “Systems of conservation laws.” Committee on pure and applied maths., XIII, 217–237.
8.
Liggett, J. A. (1975). “Basic equations of unsteady flow.” Unsteady flow in open channels, Mahmood and Yevjevich, eds., Water Resources Publications, Ft. Collins, Colo., 29–62.
9.
McCormack, R. W. (1971). “Numerical solution of the interaction of a shock wave with a laminar boundary layer.” Proc., 2nd Int. Conf. on Num. Methods in Fluid Dynamics, Springer‐Verlag, Berlin, Germany, 151–163.
10.
Warming, R. F., and Kutler, P. (1972). “2nd and 3rd order noncentered difference schemes for nonlinear hyperbolic equation.” Proc., AIAA 10th Aerospace Sciences Meeting, Am. Inst. of Aeronautics and Astronautics, Washington, D.C.
11.
Warming, R. F., and Hyett, B. J. (1974). “The modified equation approach to the stability and accuracy analysis of finite‐difference methods.” J. of Computational Physics, 14, 159–179.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 119 • Issue 3 • March 1993
Pages: 380 - 389
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Oct 2, 1992
Published online: Mar 1, 1993
Published in print: Mar 1993
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.