TECHNICAL PAPERS
May 1, 1983

Applicability of Dam‐Break Flood Wave Models

Publication: Journal of Hydraulic Engineering
Volume 109, Issue 5

Abstract

Mathematical models based on the Saint‐Venant equations for open channel flow often encounter serious difficulties when applied to natural channels. On the other hand, the approximate flood routing models used in practice may yield results which are in gross error. In this work five mathematical models are constructed based on equations ranging from the complete dynamic system to a simple normal‐depth kinematic wave equation. The results of the models are compared between themselves and with experimental data, in the form of free‐surface profiles and stage hydrographs. The models are then converted to dimensionless form, which reduces the number of independent parameters controlling their solution. The results of these calculations are presented in the form of dimensionless plots of maximum flood depth and time vs. distance along the channel, for various levels of truncation of the open‐channel flow equations. Estimates for the permissible range of application of the simplified routing models are given, and recommendations are made for their judicious application.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Franz, D. D., “Dam Break Flood Wave Analysis: Problems, Pitfalls and Partial Solutions,” Proceedings of Dam‐Break Flood Routing Model Workshop, Department of Commerce, National Technical Information Service (PB‐275 437), Oct., 1977, pp. 354–383.
2.
Fread, D. L., “The Development and Testing of a Dam‐Break Flood Forecasting Model,” Proceedings of Dam‐Break Flood Routing Model Workshop, Department of Commerce, National Technical Information Service (PB‐275 437), Oct., 1977, pp. 164–197.
3.
Gundlach, D. L., and Thomas, W. A., “Guidelines for Calculating and Routing a Dam‐Break Flood,” Research Note No. 5, Hydrologic Engineering Center, U.S. Army Corps of Engineers, Davis, Calif., Jan., 1977.
4.
Henderson, F. M., Open Channel Flow, MacMillan Publishing Co., Inc., New York, N.Y., 1966.
5.
Holt, M., Numerical Methods in Fluid Dynamics, Springer‐Verlag, New York, N.Y., 1977.
6.
Katopodes, N. D., and Strelkoff, T., “Computing Two‐Dimensional Dam‐Break Floodwaves,” Journal of the Hydraulics Division, ASCE, Vol. 104, No. HY9, Proc. Paper 14036, Sept., 1978, pp. 1269–1288.
7.
Katopodes, N. D., and Strelkoff, T., “Hydrodynamics of Border Irrigation‐Complete Model,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 103, No. IR3, Proc. Paper 13188, Sept., 1977, pp. 309–324.
8.
Keefer, T. N., and Simons, R. K., “Qualitative Comparison of Three Dam Break Routing Models,” Proceedings of Dam‐Break Flood Routing Model Workshop, U.S. Department of Commerce, National Technical Information Service, (PB‐275 437), Oct., 1977, pp. 292–311.
9.
Lighthill, M. J., and Whitham, G. B., “On Kinematic Waves: I—Flood Movement in Long Rivers,” Proceedings of the Royal Society of London, Series A, Vol. 22, No. 1178, 1955, pp. 281–316.
10.
Sakkas, J. G., and Strelkoff, T., “Dam‐Break Flood in a Prismatic Dry Channel,” Journal of the Hydraulics Division, ASCE, Vol. 99, No. HY12, Proc. Paper 10233, Dec., 1973, pp. 2195–2216.
11.
Sakkas, J. G., and Strelkoff, T., “Dimensionless Solution of Dam‐Break Flood Waves,” Journal of the Hydraulics Divison, ASCE, Vol. 102, No. HY2, Proc. Paper 11910, Feb., 1976, pp. 171–184.
12.
Smith, R. E., “Border Irrigation Advance and Ephemeral Flood Waves,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 98, No. IR2, June, 1972, pp. 289–307.
13.
Strelkoff, T., and Katopodes, N. D., “Border‐Irrigation Hydraulics with Zero Inertia,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 103, No. IR3, Proc. Paper 13189, Sept., 1977, pp. 325–342.
14.
Strelkoff, T., and Katopodes, N. D., “End Depth Under Zero‐Inertia Conditions,” Journal of the Hydraulics Division, ASCE, Vol. 103, No. HY7, Proc. Paper 13053, July, 1977, pp. 699–711.
15.
Strelkoff, T., Schamber, D. R., and Katopodes, N. D., “Comparative Analysis of Routing Techniques for the Floodwave from a Ruptured Dam,” Proceedings of Dam‐Break Flood Routing Model Workshop, U.S. Department of Commerce, National Technical Information Service (PB‐275 437), Oct., 1977, pp. 228–291.
16.
Vasiliev, O. F., “Numerical Solution of the Non‐Linear Problems of Unsteady Flows in Open Channels,” Proceedings, 2nd International Conference on Numerical Methods in Fluid Dynamics, Berkeley, Calif., Sept., 1970.
17.
Waterways Experiment Station, “Floods Resulting from Suddenly Breached Dams,” Miscellaneous Paper No. 2‐374, U.S. Army Corps of Engineers, Report 1, Conditions of Minimum Resistance, Vicksburg, Miss., 1960;
Report 2, Conditions of High Resistance, Vicksburg, Miss., 1961.
18.
Whitham, G. B., “The Effect of Hydraulic Resistance in the Dam‐Break Probrlem,” Proceedings, Royal Society of London, Series A, Vol. 227, 1955, pp. 399–407.

Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 109Issue 5May 1983
Pages: 702 - 721

History

Published online: May 1, 1983
Published in print: May 1983

Permissions

Request permissions for this article.

Authors

Affiliations

Nikolaos D. Katopodes
Asst. Prof., Dept. of Civ. Engrg., Univ. of Michigan, Ann Arbor, Mich.
David R. Schamber, Members, ASCE
Asst. Prof., Dept. of Civ. Engrg., Univ. of Utah, Salt Lake City, Utah

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share