Numerical Model for On-Offshore Sediment Transport with Moving Boundaries
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 122, Issue 2
Abstract
The development of a finite difference model with moving boundaries for on-offshore sediment transport prediction in the surf zone is presented in this paper. The governing equations used are the conservation of sediment volume and empirical sediment transport rate equation suggested by Kobayashi, which is, for a special case, identical to that of Kriebel and Dean. The resulting inhomogeneous diffusion equation is solved for arbitrary initial profiles and time-varying storm surge conditions. More important, moving boundary conditions at the shoreline and breaking point are rigorously accounted for in our time-marching numerical scheme to adquately predict beach erosion and dune recession. The present numerical model is validated through cross-checking with independently developed numerical schemes and comparison with semianalytic solutions, experimental data of large-scale model test, and the field data of Hurricane Eloise. In addition, our model satisfies the conservation of eroded/deposited sediment volume. The present numerical model is particularly efficient and robust and free of numerical instability. Using the developed program, we have extensively investigated the sensitivity of beach evolution to several important sediment transport parameters, initial profiles, and storm surge hydrographs. It is shown that the model reasonably predicts the erosion of beaches with berms and dunes, and the offshore movement of breaking point. The present numerical model is also used to analyze the evolution of beaches consisting of different sediment characteristics. In our numerical model, the formation and movement of small-scale bars and longshore sediment transport are not considered.
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References
1.
Bagnold, R. A. (1966). “An approach to the sediment transport problem from general physics.”Profl. Paper 422-I, U.S. Geological Survey, Washington, D.C.
2.
Bailard, J. A. (1981). “An energetics total load sediment transport model for a plane sloping beach.”J. Geophysical Res., 86(C11), 10938–10954.
3.
Bruun, P. (1954). “Coast erosion and the development of beach profiles.”Tech. Memorandum No. 44, Beach Erosion Board, Coast. Engrg. Res. Ctr., U.S. Army Engr. Waterway Experiment Station, Vicksburg, Miss.
4.
Chiu, T. Y. (1977). “Beach and dune response to hurricane Eloise of September 1975.”Coast. Sediment '77, ASCE, New York, N.Y., 116–134.
5.
Dean, R. G. (1977). “Equilibrium beach profiles: U.S. Atlantic and Gulf Coasts.”Tech. Rep. No. 12, Oc. Engrg. Program, Dept. of Civ. Engrg., Univ. of Delaware, Newark.
6.
Dean, R. G.(1991). “Equilibrium beach profiles: Characteristics and applications.”J. Coast. Res., 7(1), 53–84.
7.
Fletcher, C. A. J. (1988). Computational techniques for fluid dynamics, Vols. I and II, Springer-Verlag, New York, N.Y.
8.
Horikawa, K. (1988). Nearshore dynamics and coastal processes, University of Tokyo Press, Tokyo, Japan.
9.
Kobayashi, N.(1987). “Analytical solution for dune erosion by storms.”J. Wtrwy., Port, Coast., and Oc. Engrg., ASCE, 113(4), 401–418.
10.
Kriebel, D. L. (1989). Users manual for dune erosion model EDUNE . Millersville, Md.
11.
Kriebel, D. L. (1986). “Verification study of a dune erosion model.”Shore and Beach, 54 (3), 13–21.
12.
Kriebel, D. L., and Dean, R. G.(1993). “Convolution method for time-dependent beach-profile response.”J. Wtrwy., Port, Coast. and Oc. Engrg., ASCE, 119(2), 204–226.
13.
Kriebel, D. L., and Dean, R. G. (1985). “Numerical simulation of time-dependent beach and dune erosion.”Coast. Engrg., Vol. 9, 221–245.
14.
Kriebel, D. L., Kraus, N. C., and Larson, M. (1991). “Engineering methods for predicting beach profile response.”Coast. Sediment '91, ASCE, New York, N.Y., 557–571.
15.
Larson, M. (1991). “Equilibrium profile of a beach with varying grain size.”Coast. Sediment '91, ASCE, New York, N.Y., 905–919.
16.
Larson, M., and Kraus, N. C. (1989). “SBEACH: Numerical model for simulating storm-induced beach change.”Tech. Rep. CERC-89-9, Coast. Engrg. Res. Ctr., U.S. Army Engr. Wtrwy. Experiment Station, Vicksburg, Miss.
17.
Nairn, R. B. (1991). “Problems associated with deterministic modelling of extreme beach erosion events.”Coast. Sediment, '91, ASCE, New York, N.Y., 588–602.
18.
Nishi, R., and Sato, M., “Numerical study on beach profile evolution due to random waves.”Proc., Int. Symp.: Waves-Physical and Numerical Modelling, IAHR, Vancouver, Canada, 1530–1539.
19.
Roelvink, J. A., and Broker, I.(1993). “Cross-shore profile models.”Coast. Engrg., 21, 163–191.
20.
Saville, T. (1957). “Scale effects in two dimensional beach studies.”Trans. 7th General Meeting of the Int. Assoc. of Hydr. Res., Lisbon, Portugal, A3-1–A3-10.
21.
Wise, R. A., Kobayashi, N., and Wurjanto, A.(1991). “Cross-shore sediment transport under irregular waves in surf zones.”Coast. Sediment '91, ASCE, New York, N.Y., 1991, 658–673.
22.
Work, P. A., and Dean, R. G. (1991). “Effect of varying sediment size on equilibrium beach profiles.”Coast. Sediment '91, ASCE, New York, N.Y., 890–904.
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Copyright © 1996 American Society of Civil Engineers.
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Published online: Mar 1, 1996
Published in print: Mar 1996
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