TECHNICAL NOTES
Mar 1, 2007

Accuracy of Hydrodynamic Modeling of Flood Detention Reservoirs

Publication: Journal of Hydrologic Engineering
Volume 12, Issue 2

Abstract

Hydrodynamic modeling of flood detention reservoirs is an effective tool to evaluate reservoir performance, to plan modifications, and to design new reservoirs. The one-dimensional (1D) Saint Venant equations (SVE) are suitable to simulate the standing waves and other degenerations that occur in the reservoirs. The accuracy of these simulations depends on the Courant numbers used in the simulations. Consequently, the use of an appropriate time step for a specific grid size is crucial for the accuracy of the solution. A series of numerical experiments were performed and compared to observed data to develop time step criteria for solving the 1D SVE using the Abbott-Ionescu scheme. The time step was normalized by the wave celerity to make it problem dependent. The new time step criteria were evaluated on a different reservoir and proved to be adequate for selecting a time step for reservoir modeling. The criteria could readily be integrated in existing models to be used in an adaptive time stepping scheme.

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References

Abbott, M. B., and Ionescu, F. (1967). “On the numerical computation of nearly horizontal flows.” J. Hydraul. Res., 5(2), 97–117.
Abbott, M. B., and Minns, A. W. (1998). Computational hydraulics, Ashgate, Aldershot, U.K.
Boman, B., Wilson, C., Jennings, M., and Shukla, S. (2002). “Detention/retention for citrus stormwater management.” Document No. AE216, Univ. of Florida, Gainesville, Fla.
Chow, V. T., Maidment, D. R., and Mays, L. W. (1988). Applied hydrology, McGraw-Hill, New York.
Danish Hydrolic Institute (DHI). (2003). MIKE 11 a modeling system for rivers and channels. Reference manual, Danish Hydraulic Institute, Hørsholm, Denmark.
Fread, D. L. (1993). “Flow routing.” Handbook of hydrology, D. R. Maidment, ed., McGraw-Hill, New York, 10.1–10.36.
Guardo, M., and Tomasello, R. S. (1995). “Hydrodynamic simulations of a constructed wetland in South Florida.” Water Resour. Bull., 31(4), 687–701.
Havnø, K., Madsen, M. N., and Dørge, J. (1995). “MIKE 11—A generalized river modelling package.” Computer models of watershed hydrology, V. Singh, ed., Water Resources Publication, Highland Ranch, Colo., 733–782.
Hu, S., and Kot, S. C. (1997). “Numerical model of tides in pearl river estuary with moving boundary.” J. Hydraul. Eng., 123(1), 21–29.
Jaber, F. H., and Mohtar, R. H. (2002a). “Dynamic time step for the one-dimensional overland flow kinematic wave solution.” J. Hydrol. Eng., 7(1), 3–11.
Jaber, F. H., and Mohtar, R. H. (2002b). “Stability and accuracy of finite element schemes for the one-dimensional kinematic wave solution.” Adv. Water Resour., 25, 427–38.
Jaber, F. H., and Mohtar, R. H. (2003). “Stability and accuracy of two-dimensional kinematic wave overland flow modeling.” Adv. Water Resour., 26, 1189–1198.
Jaber, F. H., and Shukla, S. (2004). “Simulating water dynamics in agricultural stormwater impoundments for irrigation water supply.” Trans. ASAE, 47(5), 1465–1476.
Jaber, F. H., and Shukla, S. (2005). “Hydrodynamic modeling approaches for agricultural storm water impoundments.” J. Irrig. Drain. Eng., 131(4), 307–315.
Legates, D. R., and McCabe, Jr., G. J. (1999). “Evaluating the use of ‘goodness-of-fit’ measures in hydrologic and hydroclimatic model validation.” Water Resour. Res., 35(1), 233–241.
Mohtar, R. H., and Segerlind, L. J. (1998). “Dynamic time step estimates for two-dimensional transient field problems using square elements.” Int. J. Numer. Methods Eng., 42, 1–14.
Mohtar, R. H., and Segerlind, L. J. (1999). “Dynamic time step estimates for one-dimensional linear transient field problems.” Trans. ASAE, 42(5), 1477–84.
Puls, L. G. (1928). “Flood regulation of the Tennessee River.” Proc., US 70th Congress (Senate and House), 1st Session, H. D. 185, Part 2, Appendix B, Washington, D.C.
Scarlatos, P. D., and Tisdale, T. S. (1989). “Simulation of wetland flow dynamics.” Water: Laws and management, American Water Resources Association, Tampa, Fla., 9A, 15–23.
Schaarup-Jensen, K. (2000). Calculation of unsteady flow in rivers: Theoretical background and computational methods, Aalborg Univ., Aalborg, Denmark.
Tsihrintzis, V. A., John, D. L., and Tremblay, P. J. (1998). “Hydrodynamic modeling of wetlands for flood detention.” Water Resour. Manage., 12, 251–269.
U.S. Bureau of Reclamation (USBR). (1949). “Chapter 6.10: Flood routing.” Part 6: Water studies; Part 6: Flood hydrology, Washington, D.C., Vol. IV.
Venutelli, M. (2002). “Stability and accuracy of weighted four-point implicit finite difference schemes for open channel flow.” J. Hydraul. Eng., 128(3), 281–288.

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Information

Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 12Issue 2March 2007
Pages: 225 - 230

History

Received: Apr 8, 2005
Accepted: Jun 22, 2006
Published online: Mar 1, 2007
Published in print: Mar 2007

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Authors

Affiliations

Fouad H. Jaber
Postdoctoral Research Associate, Dept. of Agricultural and Biological Engineering, Southwest Florida Research and Education Center, Univ. of Florida, Immokalee, FL 34142.
Sanjay Shukla
Assistant Professor, Dept. of Agricultural and Biological Engineering, Southwest Florida Research and Education Center, Univ. of Florida, 2686 State Road 29 N, Immokalee, FL 34142 (corresponding author). E-mail: [email protected]

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