STEADY CURRENTS INDUCED BY SEA WAVES PROPAGATING OVER A SLOPING BOTTOM
No. 32 (2010), Swash, Nearshore Currents, and Long Waves
No. 32 (2010)

STEADY CURRENTS INDUCED BY SEA WAVES PROPAGATING OVER A SLOPING BOTTOM

Swash, Nearshore Currents, and Long Waves
https://doi.org/10.9753/icce.v32.currents.35
Published 2011-01-30
Erminia Capodicasa
University of Catania
Pietro Scandura
University of Catania
Foti Enrico
University of Catania
Proceedings of the 32nd International Conference
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Keywords

sea waves
boundary layers
steady currents

How to Cite

Capodicasa, E., Scandura, P., & Enrico, F. (2011). STEADY CURRENTS INDUCED BY SEA WAVES PROPAGATING OVER A SLOPING BOTTOM. Coastal Engineering Proceedings, 1(32), currents.35. https://doi.org/10.9753/icce.v32.currents.35
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Abstract

A numerical model aimed at computing the mean velocity generated by a sea wave propagating over a sloping bottom, offshore the breaker line, is presented. The model is based on the assumption that the fluid domain can be partitioned into two boundary layers and a core region where at a first order of approximation the flow can be regarded as irrotational. The irrotational flow is computed by using a theory based on the assumption of small amplitude waves which allows both fully absorbed waves and partially reflected waves at the coastline to be considered. The distribution of the mean velocity is controlled by the ratio between the thickness of the boundary layer and the wave amplitude. When this ratio is small, the mean velocities are rather constant along the depth and a second boundary layer develops close to the bottom. In the case of fully reflected waves such boundary layer separates and the mean vorticity can be convected far from the bottom.
https://doi.org/10.9753/icce.v32.currents.35
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References

Bagnold, R.A. 1947. Sand movements by waves: some small scale experiments with sand of very low density, J. Inst. Civil Engrs, 27, 447-469. http://dx.doi.org/10.1680/ijoti.1947.13608

Blondeaux, P., Brocchini, M. and G. Vittori. 2002. Sea waves and mass transport on a sloping beach, Proc. R. Soc. London A, 458, 2053-2082. http://dx.doi.org/10.1098/rspa.2001.0958

Dore, B.D. 1977. On mass transport velocity due to progressive waves, Q. J. Mech. Appl. Math. 30(2), 157-173.http://dx.doi.org/10.1093/qjmam/30.2.157

Hunt, J.N., and B. Johns. 1963. Currents induced by tides and gravity waves, Tellus, 15, 343-351. http://dx.doi.org/10.1111/j.2153-3490.1963.tb01397.x

Hwung, J.N., and C. Lin. 1990. The mass transport of waves propagating over a sloping bottom, Proc. 22 nd

Int. Conf. Coastal Engineering, ASCE, pp. 544-556, Reston.

Iskandarani, M., and P.L.F. Liu. 1991. Mass transport in three dimensional water waves, J. Fluid Mech., 231, 417-437.http://dx.doi.org/10.1017/S0022112091003452

Liu, P.L.F. 1977. Mass transport in the free surface boundary layers, Coastal Engng, 1, 207-219.http://dx.doi.org/10.1016/0378-3839(77)90015-1

Longuet-Higgins, M.S. 1953. Mass transport in water waves, Phil. Trans. R. Soc. Landon A, 245, 535-581.http://dx.doi.org/10.1098/rsta.1953.0006

Mei, C.C., Stiassnie M., and D.K-P. Yue. 2005. Theory and applications of ocean surface waves. Part 2: Nonlinear Aspects, Advanced Series on Ocean Engineering 23. Singapore, World Scientific.

Roache, P.J. 1972. Computational fluid dynamics, Albuquerque, NM: Hermosa, 1972.

Sani, R.L., and P.M. Gresho. 1994. Résumé and remarks on the open boundary condition minisymposium, Int. J. Num. Meth. In Fluids, 18, 983-1008.

Stive, M.J.F., and H.G. Wind. 1986. Cross-shore mean flow in the surf zone, Coastal Engng, 10, 325-340.http://dx.doi.org/10.1016/0378-3839(86)90019-0

Stoker, J.J. 1947. Surface waves in water of variable depth, Quart. Appl. Math., 5, 1-54.

Stokes, G.G. 1847. On the theory of oscillatory waves, Trans. Camb. Phil. Soc., 8, 441-455.

Stuart, J.T. 1966. Double boundary layer in an oscillating viscous fluid, J. Fluid. Mech., 24, 673-687.http://dx.doi.org/10.1017/S0022112066000910

Svendsen, I.A. 1984. Mass flux and undertow in a surf zone, Coastal Engng., 8, 247-356 http://dx.doi.org/10.1016/0378-3839(84)90030-9

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