TECHNICAL PAPERS
Oct 15, 2004

Modeling a Plunging Underflow

Publication: Journal of Hydraulic Engineering
Volume 130, Issue 11

Abstract

A coupled three-dimensional hydrodynamics and two-dimensional underflow model is adapted to provide simulation of plunging inflows in reservoirs. The new approach accounts for the effect of the barotropic term prior to the plunge point of the inflow. Simulations of plunging flows in constant width and constant slope channels are conducted and the resulting plunge depths are in agreement with prior empirical models. Simulation of a previously measured underflow in Wellington Reservoir (Australia) demonstrates the model application to a plunging inflow in a natural water body and good agreement between field and model results.

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References

1.
Akiyama, J., and Stefan, H. G. (1984). “Plunging flow into a reservoir: Theory.” J. Hydraul. Eng., 110(4), 484–499.
2.
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.
3.
Bournet, P. E., Dartus, D., Tassin, B., and Vincon-Leite, B. (1999). “Numerical investigation of plunging density current.” J. Hydraul. Eng., 125(6), 584–594.
4.
Bradford, S. F., and Katapodes, N. D. (1999). “Hydrodynamics of turbid underflows. I: Formulation and numerical analysis.” J. Hydraul. Eng., 125(10), 1006–1015.
5.
Britter, R. E., and Simpson, J. E. (1978). “Experiments on the dynamics of a gravity head.” J. Fluid Mech., 88, 223–240.
6.
Chung, S. W., and Gu, R. (1998). “Two-dimensional simulations of contaminant currents in stratified reservoir.” J. Hydraul. Eng., 124(7), 704–711.
7.
Dallimore, C. J., Hodges, B. R., and Imberger, J. (2003). “Coupling an underflow model to a 3D hydrodynamic model.” J. Hydraul. Eng., 129(10), 748–757.
8.
Dallimore, C. J., Imberger, J., and Ishikawa, T. (2001). “Entrainment and turbulence in saline underflow in Lake Ogawara.” J. Hydraul. Eng., 127(11), 937–948.
9.
Elder, R.A., and Wunderlich, W.O. ( 1972). “Inflow density currents in TVA reservoirs.” Int. Symposium on Stratified Flows, ASCE, Reston, Va., 221–236.
10.
Ellison, T. H., and Turner, J. S. (1959). “Turbulent entrainment in stratified flows.” J. Fluid Mech., 6(3), 423–448.
11.
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.
12.
Hebbert, B., Imberger, J., Loh, I., and Patterson, J. (1979). “Collie river underflow into the Wellington reservoir.” J. Hydraul. Div., Am. Soc. Civ. Eng., 105(5), 533–545.
13.
Hodges, B. R., and Imberger, J. (2001). “Simple curvilinear method for numerical methods of open channels.” J. Hydraul. Eng., 127(11), 949–958.
14.
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.
15.
Leonard, B. P. (1991). “The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection.” Comput. Methods Appl. Mech. Eng., 88, 17–74.
16.
Roe, P. L. (1981). “Approximate Riemann solvers, parameter vectors, and difference schemes.” J. Comput. Phys., 43(2), 357–372.
17.
Savage, S. B., and Brimberg, J. (1975). “Analysis of plunging phenomena in water resources.” J. Hydraul. Res., 13(2), 187–204.
18.
Singh, B., and Shah, C. R. (1971). “Plunging phenomenon of density currents in reservoirs.” Houille Blanche, 26(1), 59–64.
19.
Wadzuk, B., and Hodges, B.R. ( 2001). “Model bathymetry for sinuous, dendritic reservoirs.” 6th Workshop on Physical Processes in Natural Waters, University of Girona, Catalonia, Spain, 205–209.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 130Issue 11November 2004
Pages: 1068 - 1076

History

Published online: Oct 15, 2004
Published in print: Nov 2004

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Authors

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Chris J. Dallimore
Research Associate, Centre for Water Research, Univ. of Western Australia, Perth 6009, Western Australia. E-mail: [email protected]
Jörg Imberger, M.ASCE
Professor and Chair, Centre for Water Research, Univ. of Western Australia, Perth 6009, Western Australia.
Ben R. Hodges, A.M.ASCE
Associate Professor, Environmental and Water Resources Engineering, Dept. of Civil Engineering, Univ. of Texas at Austin, Austin, TX 78712.

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