TECHNICAL NOTES
Jan 16, 2004

Numerical Solution of Boussinesq Equations to Simulate Dam-Break Flows

Publication: Journal of Hydraulic Engineering
Volume 130, Issue 2

Abstract

To investigate the effect of nonhydrostatic pressure distribution, dam-break flows are simulated by numerically solving the one-dimensional Boussinesq equations by using a fourth-order explicit finite-difference scheme. The computed water surface profiles for different depth ratios have undulations near the bore front for depth ratios greater than 0.4. The results obtained by using the Saint Venant equations and the Boussinesq equations are compared to determine the contribution of individual Boussinesq terms in the simulation of dam-break flow. It is found that, for typical engineering applications, the Saint Venant equations give sufficiently accurate results for the maximum flow depth and the time to reach this value at a location downstream of the dam.

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References

Abbott, M. B. (1979). Computational hydraulics: Elements of the free-surface flow, Pitman, London.
Basco, D. R. (1983). “Computation of rapidly varied, unsteady free-surface flow.” Rep. No. WRI 83-4284, U.S. Geological Survey.
Basco, D. R.(1989). “Limitation of the Saint-Venant equations in dam-break analysis.” J. Hydraul. Eng., 115(7), 950–963.
Carmo, J. S., Santos, F. J., and Almeida, A. B.(1993). “Numerical solution of the generalized Serre equations with the MacCormack finite-difference scheme.” Int. J. Numer. Methods Fluids, 16, 725–738.
Chaudhry, M. H. (1993). Open channel flow, Prentice-Hall, Englewood Cliffs, N.J.
Frazao, S. S.(2002). “Undular bores and secondary waves—Experiments and hybrid finite-volume modeling.” J. Hydraul. Res., 40(1), 33–43.
Gharangik, A., and Chaudhry, M. H.(1991). “Numerical simulation of hydraulic jump.” J. Hydraul. Eng., 117(9), 1195–1211.
Gottlieb, D., and Turkel, E.(1976). “Dissipative two-four methods for time dependent problems.” Math. Comput., 30(136), 703–723.
Jameson, A., Schmiddt, W., and Turkel, E. (1981). “Numerical solutions of the Euler equations by finite volume methods using Runge–Kutta time stepping schemes.” Proc., AIAA 14th Fluid and Plasma Dynamics Conf., AIAA-81-1259, Calif.
Kosorin, K. (1983). “Hydraulic characteristics of some dam-break wave singularities.” Proc., 20th IAHR Congress, Moscow, 520–528.
Mohapatra, P. K., Eswaran, V., and Bhallamudi, S. M.(1999). “Two-dimensional analysis of dam-break flow in vertical plane.” J. Hydraul. Eng., 125(2), 183–192.
Palaniappan, A. B. (1981). “A finite element model for hydrodynamics and pollution in tidal rivers.” MS thesis, Civil Eng., IIT, Madras, Spain.
Pohle, F. V.(1952). “Motion of water due to breaking of a dam and related problems.” USNBS, 521(8), 47–53.
Raman, A., and Chaudhry, M. H. (1996). “Numerical simulation of hydraulic jump.” Proc., Conf. North American Water and Environment Congress and Destructive Water, 4052–4057.
Stoker, J. J. (1957). Water waves, Interscience, New York, 331–341.
Strelkoff, T. (1986). “Dam-break flood waves.” Megatrends in hydraulic engineering, M. L. Albertson, and C. N. Papadakis, eds., California State Univ., 257–266.
Walkley, M. (1999). “A numerical method for extended Boussinesq shallow water wave equations.” PhD thesis, School of Computer Studies, Univ. of Leeds, U.K.

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 130Issue 2February 2004
Pages: 156 - 159

History

Received: Nov 4, 2002
Accepted: Jul 11, 2003
Published online: Jan 16, 2004
Published in print: Feb 2004

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Authors

Affiliations

Pranab K. Mohapatra
Research Associate, Civil and Env. Engrg., Univ. of South Carolina, Columbia, SC 29208.
M. Hanif Chaudhry, F.ASCE
Mr. and Mrs. Irwin B. Kahn Professor and Dept. Chair, Civil and Environmental Engineering, Univ. of South Carolina.

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