TECHNICAL PAPERS
Apr 1, 1993

Quasi‐3D Numerical Modeling of Shallow‐Water Circulation

Publication: Journal of Hydraulic Engineering
Volume 119, Issue 4

Abstract

A quasi‐three‐dimensional numerical model composed of two coupled modules has been developed for computing circulations in shallow waters. The depth‐averaged flow is computed in one of the modules, and the vertical distribution of the flow velocities is determined in the other. A simple algebraic formulation is assumed for the vertical eddy viscosity. Based on measurements of velocity profiles in a wind‐water flume, it was found that the vertical eddy viscosity should be scaled using the larger value of the bed‐ and surface‐friction velocities. For the cases considered, computations using the kε model supported the results. Secondary currents caused by curvature effects and Coriolis force in open channel flow can be simulated by using the model. The model was also applied to compute circulations in a model harbor basin where measurements of velocities were available. The advective terms in the equations of motion are shown to be important to model the three‐dimensional features of these flows.

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References

1.
Booij, N. (1989). User manual for the program Duchess, Delft University computer program for 2D horizontal estuary and sea surges. Dept. of Civ. Engrg., Delft Univ. of Tech., Delft, The Netherlands.
2.
Cheng, R. T. (1977). “Transient three‐dimensional circulation of lakes.” J. Engrg. Mech. Div., ASCE, 103(1), 17–34.
3.
Giessen, Van der, A., and Jansen, R. R. (1988). “The 2.5D‐model, a new method for determining the vertical flow structure in the Dutch coastal zone.” Nota GWAO‐88.013, Rijkswaterstaat, Dienst Getijdewateren, The Hague, The Netherlands (in Dutch).
4.
Jamart, B. M., and Ozer, J. (1987). “Comparison of 2‐D and 3‐D models of the steady wind‐driven circulations in shallow waters.” Coast. Engrg., 11, 393–413.
5.
Kalkwijk, J. P. Th., and Booij, R. (1986). “Adaptation of secondary flow in a nearly‐horizontal flow.” J. Hydr. Res., 24(1), 19–37.
6.
Kielmann, J., and Kowalik, Z. (1980). “A bottom stress formulation for storm surge problems.” Oceanol. Acta, 3(1), 51–58.
7.
Langendoen, E. J., and Kranenburg, C. (1990). “Unsteady flow and exchange of matter in the entrance of a tidal harbor.” Proc. Int. Conf. on Phys. Model. of Transp. and Disp., ASCE, New York, N.Y., 2B19–2B24.
8.
Lardner, R. W., and Cekirge, H. M. (1988). “A new algorithm for three‐dimensional tidal and storm surge computations.” Appl. Math. Modelling, 12, 471–481.
9.
Launder, B. E., and Spalding, D. B. (1972). Mathematical models of turbulence. Academic Press, London, U.K.
10.
Leendertse, J. J. (1987). Aspects of SYMSYS2D, a system for two‐dimensional flow computation. U.S. Geological Survey, Washington, D.C.
11.
Vriend, H. J. de. (1981). “Steady flow in shallow channel bends,” PhD thesis, Delft Univ. of Tech., Delft, The Netherlands.
12.
Yu, Xuqing. (1987). “Turbulent channel flow under the action of surface windstress.” Report no. 2‐87, Lab. of Fluid Mech., Dept. of Civ. Engrg., Delft Univ. of Tech., Delft, The Netherlands.

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 119Issue 4April 1993
Pages: 458 - 472

History

Received: Feb 14, 1992
Published online: Apr 1, 1993
Published in print: Apr 1993

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Authors

Affiliations

X. Jin
Ph.D. Student, Dept. of Civ. Engrg., Delft Univ. of Tech., P.O. Box 5048, 2600 GA, Delft, The Netherlands
C. Kranenburg
Sr. Res. Sci., Dept. of Civ. Engrg., Delft Univ. of Tech., P.O. Box 5048, 2600 GA, Delft, The Netherlands

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