TECHNICAL PAPERS
Feb 24, 2009

Tidal Simulations for the Loxahatchee River Estuary (Southeastern Florida): On the Influence of the Atlantic Intracoastal Waterway versus the Surrounding Tidal Flats

Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 135, Issue 6

Abstract

Two-dimensional tidal flows within the Loxahatchee River estuary (Southeastern Florida) are simulated in order to assess the effects of incorporating the Atlantic Intracoastal Waterway (AICWW) versus including the surrounding tidal flats in the computational domain. The region of interest is modeled with three variations of an unstructured, finite-element mesh, including a localized mesh with and without tidal flats, and an extended mesh that describes the AICWW. Phase and amplitude errors between model output and historical data are quantified in terms of water surface elevations at five locations within the Loxahatchee River estuary to assess the relative performance of the various computational meshes. While it is shown that the surrounding tidal flats provide some benefit to the numerical model, the hydrodynamics resulting from the inclusion of the AICWW results in a more significant improvement in the simulated water levels—an important modeling consideration that is commonly disregarded in practice. The application of additional boundary conditions enables for both hydrodynamic factors (AICWW; surrounding tidal flats) to be included in the numerical simulation. As a corollary, velocity residuals are computed on a domain-wide basis to reveal significantly different net circulation patterns within the Loxahatchee River estuary, depending on the level of description of the AICWW, and further demonstrate the importance of including the AICWW in the numerical model.

Get full access to this article

View all available purchase options and get full access to this article.

Acknowledgments

This study is funded in part by the South Florida Water Management District under Contract No. UNSPECIFIEDCC11704A and the Florida Department of Environmental Protection under Contract No. UNSPECIFIEDS0133. The statements, findings, conclusions, and recommendations expressed herein are those of the author and do not necessarily reflect the views of the South Florida Water Management District, the Florida Department of Environmental Protection, or their affiliates.

References

Atkinson, J. H., Westerink, J. J., and Luettich, R. A., Jr. (2004). “Two-dimensional dispersion analyses of finite-element approximations to the shallow water equations.” Int. J. Numer. Methods Fluids, 45(7), 715–749.
Bacopoulos, P. (2005). “Analysis, modeling, and simulation of the tides in the Loxahatchee River estuary (Southeastern Florida).” MS thesis, Univ. of Central Florida, Orlando, Fla.
Chiu, T. Y. (1975). “Evaluation of salt intrusion in the Loxahatchee River, Florida.” Technical Rep., Coastal and Oceanographic Laboratory, Univ. of Florida, Gainesville, Fla.
Dawson, C., Westerink, J. J., Feyen, J. C., and Pothina, D. (2006). “Continuous, discontinuous and coupled discontinuous-continuous Galerkin finite-element methods for the shallow water equations.” Int. J. Numer. Methods Fluids, 52, 63–88.
Friedrichs, C. T., and Aubrey, D. G. (1988). “Non-linear tidal distortion in shallow well-mixed estuaries: A synthesis.” Estuarine Coastal Shelf Sci., 27, 521–545.
Grenier, R. R., Luettich, R. A., and Westerink, J. J. (1995). “A comparison of the nonlinear frictional characteristics of two-dimensional and three-dimensional models of a shallow water tidal embayment.” J. Geophys. Res., 100, 13719–13735.
Hagen, S. C., and Parrish, D. M. (2004). “Unstructured mesh generation for the western North Atlantic tidal model domain.” Eng. Comput., 20, 136–146.
Hu, G. (2002). “The effects of freshwater inflow, inlet conveyance and sea level rise on the salinity regime in the Loxahatchee River estuary.” Proc., 2002 Environmental Engineering Conf., ASCE, Reston, Va.
Ianniello, J. P. (1979). “Tidally induced currents in estuaries of variable breadth and depth.” J. Phys. Oceanogr., 9, 962–974.
Kinnmark, I. (1985). “The shallow water wave equations: Formulation, analysis and application.” Lecture notes in engineering 15, C. A. Brebbia and S. A. Orszag, eds., Springer, New York, 1–187.
Kolar, R. L., Gray, W. G., Westerink, J. J., and Luettich, R. A. (1994a). “Shallow water modeling spherical coordinates: Equation formulation, numerical implementation, and application.” J. Hydraul. Res., 32, 3–24.
Kolar, R. L., Westerink, J. J., Cantekin, M. E., and Blain, C. A. (1994b). “Aspects of nonlinear simulations using shallow-water models based on the wave continuity equation.” Comput. Fluids, 23, 523–538.
Li, C., and O’Donnell, J. (1997). “Tidally driven residual circulation in shallow estuaries with lateral depth variation.” J. Geophys. Res., 102, 27915–27929.
Luettich, R. A., Westerink, J. J., and Scheffner, N. W. (1992). “ADCIRC: An advanced three-dimensional circulation model for shelves, coasts and estuaries. I: Theory and methodology of ADCIRC-2DDI and ADCIRC-3DL.” Technical Rep. No. DRP-92-6, U.S. Army Corps of Engineers, Waterways Experiment Station, Vicksburg, Miss.
Lynch, D. R., and Gray, W. G. (1979). “A wave equation model finite-element tidal computations.” Comput. Fluids, 7, 207–228.
Lynch, D. R., and Naimie, C. E. (1993). “The M2 tide and its residual on the Outer Banks of the Gulf of Maine.” J. Phys. Oceanogr., 23, 2222–2253.
McPherson, B. F., and Sabanskas, M. (1980). “Hydrologic and land-cover features of the Loxahatchee River Basin, Florida.” Water-Resources Investigations Open-File Rep. No. 80-1109, U.S. Geological Survey, Tallahassee, Fla.
McPherson, B. F., Sabanskas, M., and Long, W. A. (1982). “Physical, hydrological, and biological characteristics of the Loxahatchee River estuary, Florida.” Water-Resources Investigations Open-File Rep. No. 82-350, U.S. Geological Survey, Tallahassee, Fla.
Nielsen, C., and Apelt, C. (2003). “Parameters affecting the performance of wetting and drying in a two-dimensional finite-element long wave hydrodynamic model.” J. Hydraul. Eng., 129(8), 628–636.
Nihoul, J., and Ronday, F. (1975). “The influence of the ‘tidal stress’ on the residual circulation.” Tellus, 27, 484–489.
Parkman, A. (1983). “History of the waterways of the Atlantic Coast of the United States.” Navigation history NWS-83-10, National Waterways Study, U.S. Army Engineer Water Resources Support Center, Institute for Water Resources, Alexandria, Va.
Pawlowicz, R., Beardsley, B., and Lentz, S. (2002). “Classical tidal harmonic analysis including error estimates in MATLAB using T_TIDE.” Comput. Geosci., 28, 929–937.
Pingree, R. D., and Maddock, L. (1977). “Tidal eddies and coastal discharge.” J. Mar. Biol. Assoc. U.K., 57, 869–875.
Prandle, D. (1978). “Residual flows and elevations in the Southern North Sea.” Proc. R. Soc. London, Ser. A, 359, 189–228.
Reid, R. O. (1990). “Tides and storm surges.” Handbook of coastal and ocean engineering. I: Wave phenomena and coastal structures, J. B. Herbich, ed., Gulf Publishing Company, Houston, 533–590.
Robinson, I. S. (1981). “Tidal vorticity and residual circulation.” Deep-Sea Res., 28, 195–212.
Russell, G. M., and Goodwin, C. R. (1987). “Simulation of tidal flow and circulation patterns in the Loxahatchee River estuary, Southeastern Florida.” Water-Resources Investigation Open-File Rep. No. 87-4201, U.S. Geological Survey, Tallahassee, Fla.
Russell, G. M., and McPherson, B. F. (1984). “Freshwater runoff and salinity distribution in the Loxahatchee River estuary, Southeastern Florida, 1980-82.” Water-Resources Investigation Open-File Rep. No. 83-4244, U.S. Geological Survey, Tallahassee, Fla.
Smith, N. P. (1990). “Longitudinal transport in a coastal lagoon.” Estuarine Coastal Shelf Sci., 31, 835–849.
South Florida Water Management District. (2002). “Technical documentation to support development of minimum flows and levels for the Northwest Fork of the Loxahatchee River.” Technical Rep., Water Supply Department, South Florida Water Management District, West Palm Beach, Fla.
Tee, K. T. (1976). “Tide-induced residual current: A 2-D nonlinear numerical tidal model.” J. Mar. Res., 34, 603–628.
Walters, R. A. (1983). “Numerically induced oscillations in finite-element approximations to the shallow water equations.” Int. J. Numer. Methods Fluids, 3, 591–604.
Westerink, J. J., Blain, C. A., Luettich, R. A., and Scheffner, N. W. (1994a). “ADCIRC: An advanced three-dimensional circulation model for shelves, coasts, and estuaries. II: User’s manual for ADCIRC-2DDI.” Technical Rep. No. DRP-92-6, U.S. Army Corps of Engineers, Waterways Experiment Station, Vicksburg, Miss.
Westerink, J. J., Luettich, R. A., and Muccino, J. C. (1994b). “Modeling tides in the western North Atlantic using unstructured graded grids.” Tellus, 46A, 178–199.
Zimmerman, J. T. F. (1978). “Topographic generation of residual circulation by oscillatory (tidal) currents.” Geophys. Astrophys. Fluid Dyn., 11, 35–47.

Information & Authors

Information

Published In

Go to Journal of Waterway, Port, Coastal, and Ocean Engineering
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 135Issue 6November 2009
Pages: 259 - 268

History

Received: Mar 5, 2008
Accepted: Dec 10, 2008
Published online: Feb 24, 2009
Published in print: Nov 2009

Permissions

Request permissions for this article.

Authors

Affiliations

Peter Bacopoulos [email protected]
Ph.D. Student, Univ. of Central Florida, 4000 Central Florida Blvd., Orlando, FL 32816-2450, (corresponding author). E-mail: [email protected]
Scott C. Hagen [email protected]
Associate Professor, Univ. of Central Florida, 4000 Central Florida Blvd., Orlando, FL 32816-2450. E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share