Dam-Break Waves in Power-Law Channel Section
Publication: Journal of Hydraulic Engineering
Volume 127, Issue 4
Abstract
The aim of this work is to highlight the effects of cross-sectional shape on dam-break wave propagation along channels by the solution of 1D conservative equations assuming a power-law variation of the channel width. An exact Riemann solution that allows a second-order accuracy of the solution for the power-law section shape is provided and is applied to the dam-break problem in valleys with different shapes but the same dam area. The streamflow state variables upstream of the bore and the bore speed for some typical sectional shapes (rectangular, triangular, concave, and convex banks) are determined as functions of variable flow depth differences and of the power law index.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Chen, C. (1980). “Laboratory verification of a dam-break flood model.”J. Hydr. Div., ASCE, 106(4), 535–556.
2.
Chen, C., and Ambruster, J. T. (1980). “Dam-break wave model: Formulation and verification.”J. Hydr. Div., ASCE, 106(5), 747–767.
3.
Courant, R., and Friederichs, K. O. ( 1948). Supersonic flow and shock wave, Interscience Publisher Inc., New York.
4.
Dressler, R. F. ( 1952). “Hydraulic resistance effect upon the dam-break functions.” Proc., R. Soc., London, A(257), 186–198.
5.
Dressler, R. F. ( 1958). “Unsteady non-linear waves in damping channels.” J. Res. of the Nat. Bureau of Standards, 2(3), 217–225.
6.
Hunt, B. (1982). “Asymptotic solution for dam-break problem.”J. Hydr. Div., ASCE, 108(1), 115–126.
7.
Hunt, B. (1984). “Perturbation solution for dam-break floods.”J. Hydr. Engrg., ASCE, 110(8), 1058–1071.
8.
Katopodes, N. D., and Schamber, D. R. (1983). “Applicability of dam-break flood wave models.”J. Hydr. Engrg., ASCE, 109(5), 702–721.
9.
Ritter, A. ( 1892). “Die Fortpflanzung der Wasserwellen.” Zeitschrift des Vereines Deutschei Ingenieure, 36(3), 947–954 (in German).
10.
Sakkas, J. G., and Strelkoff, T. (1973). “Dam-break flood in a prismatic dry channel.”J. Hydr. Div., ASCE, 99(12), 2195–2216.
11.
Sakkas, J. G., and Strelkoff, T. (1976). “Dimensionless solution of dam-break flood waves.”J. Hydr. Div., ASCE, 102(2), 171–184.
12.
Schamber, D. R., and Katopodes, N. D. (1984). “One-dimensional models for partially breached dams.”J. Hydr. Engrg., ASCE, 110(8), 1086–1102.
13.
Shih-Tun Su, A. M., and Barnes, A. H. (1970). “Geometric and frictional effects on sudden releases.”J. Hydr. Div., ASCE, 96(11), 2185–2200.
14.
Stoker, J. J. ( 1949). “The breaking of waves in shallow water.” Annu. N.Y. Acad. of Sci., 51(3), 360–375.
15.
Stoker, J. J. ( 1958). Water waves, The mathematical theory with applications, Wiley, Chichester, U.K.
16.
Strelkoff, T., and Falvey, H. T. (1993). “Numerical methods used to model unsteady canal flow.”J. Irrig. and Drain. Engrg., ASCE, 119(4), 637–655.
17.
Toro, E. F. ( 1992). “Reimann problems and the WAF method for solving the two-dimensional shallow water equations.” Philosophical Trans. Royal Soc., London, A(338), 43–68.
Information & Authors
Information
Published In
History
Received: Mar 3, 2000
Published online: Apr 1, 2001
Published in print: Apr 2001
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.