CASE STUDIES
Jun 15, 2010

Numerical Age and Residence-Time Mapping for a Small Tidal Creek: Case Study

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 136, Issue 4

Abstract

A numerical modeling study, using an Eulerian tracer and Lagrangian particle-tracking methods, was carried out to map the age of water and residence-time distribution in the tide-dominated East Scott Creek Estuary, South Carolina. A coupled hydrodynamic, solute-transport, and particle-transport model was developed. The flow and solute-transport models were based on depth-integrated conservation equations and the particle-transport model was quasi-three-dimensional. The equations were discretized using the total variation diminishing finite-volume method. The numerical model predictions were verified against a set of field-measured hydrodynamic data, with the model-predicted water elevations and velocities in good agreement with the field measurements. Different methods of computing the age of water and the residence time that are applicable to tide-dominated estuaries and suitable for high-resolution flow and transport numerical modeling setup were investigated. An Eulerian method, based on the tracer-age theory, and a Lagrangian particle-tracking method were each used to map the age and the residence-time distribution throughout the main channel of East Scott Creek. The performance of the two methods in the given tide-dominated environment was investigated through a series of numerical experiments. The effects of the particle and tracer release time and tidal amplitude in the computation of tidal exchange-time scales were also investigated. The residence time computed by the Eulerian method scaled well with that of the Lagrangian method and produces a relatively smooth monotonic profile of the residence time in space. The Lagrangian method, unlike the Eulerian method, consistently showed a more detailed distribution of significant and varying nonmonotonic profile of residence times; yet, the two methods produce, in the tidally averaged sense, reasonably comparable residence-time distributions. The residence time computed by the Lagrangian method is very sensitive to the phase of the tidal forcing at the beginning of the computation.

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Acknowledgments

The writers are thankful to Straud Armstrong, Brenda Hockensmith, Joe Gellici, Andy Wachob, and Scott Harder for their valuable help during field surveys. This study in part was supported by U.S. Department of Commerce, National Oceanic and Atmospheric Administration (DOC/NOAA) via a grant (Grant No. UNSPECIFIEDNA03NOS4630167) to David Whitaker of the South Carolina Department of Natural Resources Marine Resources Division. Any statements, opinions, findings, conclusions, or recommendations expressed in this paper are those of the writers and do not necessarily reflect the views or policies of the federal sponsors or the South Carolina Department of Natural Resources and no official endorsement should be inferred.

References

Aref, H. (1984). “Stirring by chaotic advection.” J. Fluid Mech., 143, 1–21.
Arega, F., et al. (2008). “Modeling of residence time in the East Scott Creek Estuary, South Carolina, USA.” J. Hydro-environment Res., 2, 99–108.
Arega, F., and Sanders, B. F. (2003). “Modeling circulation and mixing in tidal wetlands of the Santa Ana River.” Estuarine and Coastal Modeling, Proc. 8th Int. Conf. on Estuarine and Coastal Modeling, 145, 751–768.
Arega, F., and Sanders, B. F. (2004). “Dispersion model for tidal wetlands.” J. Hydraul. Eng., 130(8), 739–754.
Awaji, T., Imasato, N., and Kunishi, N. (1980). “Tidal exchange through a strait: A numerical experiment using a simple model basin.” J. Phys. Oceanogr., 10, 1499–1508.
Banas, N. S., and Hickey, B. M. (2005). “Mapping exchange and residence time in a model of Willapa Bay, Washington, a branching, macro tidal estuary.” J. Geophys. Res., 110, C11011.
Bradford, S. F., and Katopodes, N. D. (1999). “Hydrodynamics of turbid underflows. Part I: Formulation and numerical analysis.” J. Hydraul. Eng., 125(10), 1006–1015.
Chan Hilton, A. B., McGillivary, D. L., and Adams, E. E. (1998). “Residence time of freshwater in Boston’s inner harbor.” J. Waterway, Port, Coastal, Ocean Eng., 124(2), 82–89.
Choi, K. W., and Lee, J. H. W. (2004). “Numerical determination of flushing time for stratfied water bodies.” J. Marine Systems, 50, 263–281.
Deleersnijder, E., Campin, J. M., and Delhez, E. J. M. (2001). “The concept of age in marine modeling. I. Theory and preliminary model results.” J. Mar. Syst., 28, 229–267.
Delhez, E. J. M., Campin, J. -M., Hirst, A. C., and Deleersnijder, E. (1999). “Toward a general theory of the age in ocean modeling.” Ocean Model., 1, 17–27.
Dimou, K. N., and Adams, E. E. (1993). “A random-walk, particle tracking model for well-mixed estuaries and coastal waters.” Estuarine Coastal Shelf Sci., 37, 99–110.
Dronkers, J., and Zimmerman, J. T. F. (1982). “Some principles of mixing in tidal lagoons.” Oceanological Acta, Proc., Int. Symp. on Coastal Lagoons, Bordeaux, France, 107–117.
Elder, J. W. (1959). “The dispersion of marked fluid in turbulent shear flow.” J. Fluid Mech., 5, 544–560.
Fischer, H. B. (1967). “The mechanics of dispersion in natural streams.” J. Hydr. Div., 93(6), 187–216.
Haaland, S. E. (1983). “Simple and explicit formulas for the friction factor in turbulent pipe flow.” J. Fluids Eng., 105, 89–90.
Henderson, F. M. (1966). Open channel flow, Macmillan, New York.
Ridderinkhof, H. (1995). “Lagrangian flows in complex Eulerian current fields.” Quantitative Skill Assessment for Coastal Ocean Models, Coastal and Estuarine Studies, 47, 31–48.
Rodi, W. (1984). Turbulence models and their application in hydraulics—A state of the art review, IAHR, Rotterdamseweg, The Netherlands.
Roe, P. L. (1981). “Approximate Riemann solvers, parameter vectors, and difference schemes.” J. Comput. Phys., 43, 357–372.
Salamon, P., Fernàndez-Garcia, D., and Fernàndez-Garcia, J. (2006). “A review and numerical assessment of the random walk particle tracking method.” J. Contam. Hydrol., 87, 277–305.
Sanford, L., Boicourt, W., and Rives, S. (1992). “Model for estimating tidal flushing of small embayment.” J. Waterway, Port, Coastal, Ocean Eng., 118(6), 913–935.
Shen, J., and Haas, L. (2004). “Calculating age and residence time in the tidal York River using three-dimensional model experiments.” Estuarine Coastal Shelf Sci., 61, 449–461.
Shen, J., and Wang, H. (2007). “Determining the age of water and long-term transport timescale of the Chesapeake Bay.” Estuarine Coastal Shelf Sci., 74, 585–598.
Sweby, P. K. (1984). “High resolution schemes using flux limiters for hyperbolic conservation laws.” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal., 21, 995–1011.
Takeoka, H. (1984). “Fundamental concepts of exchange and transport time scales in a coastal sea.” Cont. Shelf Res., 3, 322–326.
Van Leer, B. (1979). “Towards the ultimate conservative difference scheme. V: A second order sequel to Godunov’s method.” J. Comput. Phys., 32, 101–136.
Ward, P. (1974). “Transverse dispersion in oscillatory channel flow.” J. Hydr. Div., 100(6), 755–770.
Zhang, Z., and Chen, Q. (2007). “Comparison of the Eulerian and Lagrangian methods for predicting particle transport in enclosed spaces.” Atmos. Environ.
Zimmerman, J. T. F. (1976). “Mixing and flushing of tidal embayment in the Western Dutch Wadden Sea. Part I: Distribution of salinity and calculation of mixing time scales.” Netherlands J. Sea Res., 10, 149–191.
Zimmerman, J. T. F. (1986). “The tidal whirlpool: A review of horizontal dispersion by tidal and residual currents.” Netherlands J. Sea Res., 20(2–3), 133–154.

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Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 136Issue 4July 2010
Pages: 226 - 237

History

Received: Jan 27, 2009
Accepted: Oct 8, 2009
Published online: Jun 15, 2010
Published in print: Jul 2010

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Authors

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Feleke Arega
Water Resources Engineer, Land, Water and Conservation Division, South Carolina Dept. of Natural Resources, Columbia, SC 29201 (corresponding author).
A. W. Badr
Chief of Hydrology Section, Land, Water and Conservation Division, South Carolina Dept. of Natural Resources, Columbia, SC 29201.

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