TECHNICAL PAPERS
Sep 15, 2003

Coupling an Underflow Model to a Three-Dimensional Hydrodynamic Model

Publication: Journal of Hydraulic Engineering
Volume 129, Issue 10

Abstract

A separate underflow model is coupled to the three-dimensional (3D) estuary and lake computer model. The underflow equations are solved on a two-dimensional (2D) grid underlying the 3D model grid. The underflow model entrains ambient water whose properties are given by the fluid properties of the bottom boundary cells in the 3D model. This new approach allows improved representation of underflow effects in z-coordinate models by reducing numerical convective entrainment. An idealized case is used to illustrate the benefits of the underflow model. Comparisons of model results and field data for a saline underflow event in Lake Ogawara and a cold-water underflow in Lake Kinneret demonstrate improved model capability in representing underflow events that are thin compared to the vertical grid scale.

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References

Alavian, V.(1986). “Behavior of density currents on an incline.” J. Hydraul. Eng., 112(1), 27–42.
Alavian, V., Jirka, G. H., Denton, R. A., Johnson, M. C., and Stefan, H. G.(1992). “Density currents entering lakes and reservoirs.” J. Hydraul. Eng., 118(11), 1464–1489.
Beckman, A., and Dösher, R.(1997). “A method for improved representation of dense water spreading over topography in geopotential-coordinate models.” J. Phys. Oceanogr., 27(4), 581–591.
Bournet, P. E., Dartus, D., Tassin, B., and Vincon-Leite, B.(1999). “Numerical Investigations of plunging density current.” J. Hydraul. Eng., 125(6), 584–594.
Bradford, S. F., and Katopodes, N. D.(1999). “Hydrodynamics of turbid underflows. I: Formulation and numerical analysis.” J. Hydraul. Eng., 125(10), 1006–1015.
Britter, R. E., and Simpson, J. E.(1978). “Experiments on the dynamics of a gravity head.” J. Fluid Mech., 88, 223–240.
Chung, S. W., and Gu, R.(1998). “Two-dimensional simulations of contaminant currents in stratified reservoir.” J. Hydraul. Eng., 124(7), 704–711.
Dallimore, C. J., Imberger, J., and Ishikawa, T.(2001). “Entrainment and turbulence in a saline underflow in Lake Ogawara.” J. Hydraul. Eng., 127(11), 937–948.
Elder, R. A., and Wunderlich, W. O. (1972). “Inflow density currents in TVA reservoirs.” Int. Symp. on Stratified Flows, ASCE, 221–236.
Ellison, T. H., and Turner, J. S.(1959). “Turbulent entrainment in stratified flows.” J. Fluid Mech., 6(3), 423–448.
Fischer, H. B., List, E. J., Koh, R. C., Imberger, J., and Brooks, N. H. (1979). Mixing in inland and coastal waters, Academic, New York.
Fozdar, F. M., Parker, G., and Imberger, J.(1985). “Matching temperature and conductivity sensor response characteristics.” J. Phys. Oceanogr., 15(11), 1557–1569.
Hallworth, M. A., Herbert, E. H., Phillips, J. C., and Sparks, R. S.(1996). “Entrainment into two-dimensional and axisymmetric turbulent gravity currents.” J. Fluid Mech., 308, 289–311.
Hebbert, B., Patterson, J., Loh, I., and Imberger, J.(1979). “Collie river underflow into the Wellington reservoir.” J. Hydraul. Div., Am. Soc. Civ. Eng., 105(5), 533–545.
Hirst, A. C., and McDougall, T. J.(1996). “Deep-water properties and surface buoyancy flux as simulated by a z-coordinate model including eddy-induced advection.” J. Phys. Oceanogr., 26(7), 1320–1343.
Hodges, B. R., Imberger, J., Saggio, A., and Winters, K.(2000). “Modeling basin-scale internal waves in a stratified lake.” Limnol. Oceanogr., 45(7), 1603–1620.
Imberger, J., and Patterson, J. C. (1981). “A dynamic reservoir simulation model—DYRESM:5.” Transport models for inland and coastal waters, H. B. Fischer, Ed., Academic, New York, pp. 310–361.
Kalikhman, I., Walline, P., and Gophen, M.(1992). “Simultaneous patterns of temperature, oxygen, zooplankton, and fish distribution in Lake Kinneret, Israel.” Freshwater Biol., 28, 337–347.
Killworth, P. D., and Edwards, N. R.(1999). “A turbulent bottom boundary layer code for use in numerical ocean models.” J. Phys. Oceanogr., 29(6), 1221–1238.
Lofquist, K.(1960). “Flow and stress near an interface between stratified liquids.” Phys. Fluids, 3(2), 158–169.
Parker, G., Fukishima, Y., and Pantin, H. M.(1986). “Self-accelerating turbidity currents.” J. Fluid Mech., 171, 145–181.
Roe, P. L.(1981). “Approximate Riemann solvers, parameter vectors, and difference schemes.” J. Comput. Phys., 43(2), 357–372.
Serruya, S.(1974). “The mixing patterns of the Jordan River in Lake Kinneret.” Limnol. Oceanogr., 19(2), 175–181.
Simpson, J. E. (1997). Gravity currents in the environment and in the laboratory, 2nd ed., Cambridge University Press, Cambridge, U.K.
Sweby, P. K.(1984). “High resolution schemes using flux limiters for hyperbolic conservation laws.” SIAM J. Numer. Anal., 21(5), 995–1011.
Winton, M., Hallberg, R., and Gnanadesikan, A.(1998). “Simulation of density-driven frictional downslope flow in z-coordinate ocean models.” J. Phys. Oceanogr., 28(11), 2163–2174.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 129Issue 10October 2003
Pages: 748 - 757

History

Received: Sep 11, 2001
Accepted: Apr 23, 2003
Published online: Sep 15, 2003
Published in print: Oct 2003

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Authors

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Chris J. Dallimore
Research assistant, Centre for Water Research, Univ. of Western Australia, Perth 6009, Western Australia.
Ben R. Hodges, A.M.ASCE
Assistant Professor, Environmental and Water Resources Engineering, Dept. of Civil Engineering, Univ. of Texas at Austin, Austin, TX (corresponding author).
Jörg Imberger, M.ASCE
Professor and Chair, Centre for Water Research, Univ. of Western Australia, Perth 6009, Western Australia.

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