Dynamic Flood Routing with Explicit and Implicit Numerical Solution Schemes
Publication: Journal of Hydraulic Engineering
Volume 123, Issue 3
Abstract
A characteristics-based, upwind, explicit numerical scheme is developed for one-dimensional (1D) unsteady flow modeling of natural rivers and implemented into the U.S. National Weather Service (NWS) FLDWAV model in combination with the original four-point implicit scheme. The new explicit scheme is extensively tested and compared with the implicit scheme. The study shows that the new explicit scheme provides improved versatility and accuracy in some situations, such as particularly large dam-break waves and other unsteady flows with near critical mixed-flow regimes. A technique for implicit-explicit multiple routing is introduced to incorporate the advantages of using both schemes within an application of the FLDWAV model.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Chow, V. T., Maidment, D. R., and Mays, L. W. (1988). Applied hydrology. McGraw-Hill Book Co., Inc., New York, N.Y.
2.
Davies, W. E., Bailey, J. F., and Kelly, D. B. (1972). “West Virginia's Buffalo Creek flood: a study of the hydrology and engineering geology.”Res. Rep., Geological Survey Circular 667, U.S. Geological Survey.
3.
Fennema, R. J., and Chaudhry, M. H.(1986). “Explicit numerical schemes for unsteady free-surface flows with shocks.”Water Resour. Res., 32(13), 1923–1930.
4.
Fennema, R. J., and Chaudhry, M. F.(1987). “Simulation of one-dimensional dam-break flows.”J. Hydr. Res., 25(1), 41–51.
5.
Fread, D. L.(1971). “Discussion of `Implicit flood routing in natural channels,' by M. Amein and C. S. Fang.”J. Hydr. Engrg., ASCE, 97(7), 1156–1159.
6.
Fread, D. L. (1977). “The development and testing of a dam-break flood forecasting model.”Proc., Dam-Break Flood Modeling Workshop, U.S. Water Resources Council, Washington, D.C., 1–32.
7.
Fread, D. L. (1978). “NWS operational dynamic wave model, verification of mathematical and physical models in hydraulic engineering.”Proc., 26th Annu. Hydr. Div. Spec. Conf., College Park, Md., 455–464.
8.
Fread, D. L. (1983). “Computational extensions to implicit routing models.”Proc. of the Conf. on Frontiers in Hydr. Engrg., ASCE, New York, N.Y., 343–348.
9.
Fread, D. L. (1985). “Channel routing.”Hydrological forecasting, M. G. Anderson and T. P. Burt, eds., John Wiley & Sons, Inc., New York, N.Y., 437–503.
10.
Fread, D. L. (1988). “The NWS DAMBRK model: theoretical background and user documentation.”HRL-258, Hydrologic Research Laboratory, National Weather Service, Silver Spring, Md.
11.
Fread, D. L. (1993). “Flood routing.”Handbook of hydrology, D. R. Maidment, ed., McGraw-Hill Book Co., Inc., New York, N.Y., 10.1–10.36.
12.
Fread, D. L., and Jin, M. (1993). “Real-time dynamic flood routing with NWS FLDWAV model using Kalman filter updating.”Engineering hydrology, Y. K. Chin, ed., ASCE, New York, N.Y., 946–951.
13.
Fread, D. L., and Lewis, J. M. (1993). “Selection of Δx and Δt at computational steps for four-point implicit nonlinear dynamic routing models.”Hydraulic engineering '93, H. W. Shen, S. T. Su, and F. Wen, eds., ASCE, New York, N.Y., 1569–1573.
14.
Jha, A. K., Akiyama, J., and Ura, M.(1995). “Firstand second-order flux difference splitting schemes for dam-break problem.”J. Hydr. Engrg., ASCE, 121(12), 877–884.
15.
McQuivey, R. S., and Keefer, T. N. (1975). “Application of simple dam break routing model.”Proc. of 16th Congr. of IAHR, IAHR, Vol. 2, 315–324.
16.
Nakatani, T., and Komura, S. (1993). “A numerical simulation of flow with hydraulic jump using TVD-McCormack scheme.”Proc., XXV Congr. of IAHR, IAHR, Vol. 1, 9–13.
17.
Savic, L. J., and Holly, F. M. Jr.(1993). “Dambreak flood waves computed by modified Godunov method.”J. Hydr. Res., 31(2), 187–204.
18.
Stoker, J. J. (1957). Water waves. Interscience Pub. Inc., New York, N.Y.
19.
Yang, J. Y., Hsu, C. A., and Chang, S. H.(1993). “Computations of free surface flows.”J. Hydr. Res., 31(1), 20–33.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 123 • Issue 3 • March 1997
Pages: 166 - 173
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Mar 1, 1997
Published in print: Mar 1997
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.