Abstract
In this study, we apply the traditional hydraulic engineering approach to model an inter-connected multiple-bay-inlet system that can represent the Great South Bay-Moriches Bay system on Long Island, New York. We show that the hydraulic model captures the essential physics of the system, despite its apparent simplicity in mathematical expressions. The model gives good estimates of bay tidal transmissions, including the tidal ranges, phase lags, and the flood-ebb asymmetry behavior in Moriches Bay. The hydraulic modeling results compare well with the simulations from a 3D coastal ocean circulation model, in particular the changes in bay tides due to the breach of Old Inlet by Hurricane Sandy. The modeled inlet discharge rates are in good agreement with the observations.
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References
Brouwer, R.L. 2006. Equilibrium and stability of a double inlet system. Netherlands: Msc. Thesis, Delft University of Technology.
Brouwer, R.L. 2013. Cross-sectional stability of double inlet systems. Netherlands: PhD. Thesis, Delft University of Technology.
Brown, E.I. 1932. Flow of water in tidal canals. Proceedings of ASCE 96: 747–834.
Conley, D.C. 1999. Observations on the impact of a developing inlet in a bar built estuary. Continental Shelf Research 19: 1733–1754.
Conley, D.C. 2000. Numerical modeling of Fire Island storm breach impacts upon circulation and water quality of Great South Bay, NY. Marine Science Research Center (MSRC) Special Report 124. Reference No 00-01. SUNY Digital Repository at Stony Brook University.
Dean, R.G., and R.A. Dalrymple. 2002. Coastal processes with engineering applications. Cambridge University Press.
de Swart, H.E., and J.T.F. Zimmerman. 2009. Morphodynamics of tidal inlet systems. Annual Review of Fluid Mechanics 41: 203–229.
de Swart, HE, and ND Volp. 2012. Effects of hypsometry on the morphodynamic stability of single and multiple tidal inlet systems. Journal of Sea Research 74: 35–44.
DiLorenzo, J.L. 1986. The overtide and filtering response of inlet/bay systems. State University of New York at Stony Brook: PhD Thesis.
Escoffier, F.F. 1940. The stability of tidal inlets. Shore and Beach 8(4): 114–115.
Herman, A. 2007. Numerical modelling of water transport processes in partially-connected tidal basins. Coastal Engineering 54: 297–320.
Jain, M., A.J. Mehta, J. van de Kreeke, and M.R. Dombrowski. 2004. Observations on the stability of St. Andrew Bay inlets in Florida. Journal of Coastal Research 20(3): 913–919.
Kaufman, Z., J. Lively, and E.J. Carpenter. 1984. Uptake of nitrogenous nutrients by phytoplankton in a barrier island estuary: Great South Bay, New York. Estuarine, Coastal and Shelf Science 17: 483–493.
Keulegan, G.H. 1967. Tidal flow in entrances, water-level fluctuations of basins in communication with seas. Vicksburg, MS: Technical Bulletin No. 14, Committee On Tidal Hydraulics, U.S. Army Engineer Waterways Experiment Station.
Kraus, N.C., G.A. Zarillo, and J.F. Tavolaro. 2003. Hypothetical relocation of Fire Island Inlet, New York. In: Proceedings coastal sediments ’03, World Scientific, CD-ROM, 14.
Lively, J., Z. Kaufman, and E.J. Carpenter. 1983. Phytoplankton ecology of a barrier island estuary: Great South bay, New York. Estuarine, Coastal and Shelf Science 16: 51–68.
Maas, L.M.R. 1997. On the nonlinear Helmholtz response of almost-enclosed tidal basin with sloping bottoms. Journal of Fluid Mechanics 349: 361–380.
Metha, A.J., and P.B. Joshi. 1988. Tidal inlet hydraulics. Journal of Hydraulic Engineering 114 (11): 1321–1338.
Mandelli, E.F., P.R. Burkholder, T.E. Doheny, and R. Brody. 1970. Studies of primary productivity in coastal waters of southern Long Island, New York. Marine Biology 7: 153–160.
Roos, P.C., H.M. Schuttelaars, and R.L. Brouwer. 2013. Observations of barrier island length explained using an exploratory morphodynamic model. Geophysical Research Letters 349: 361–380.
U. S. Army Corps of Engineers. 2002. Coastal Engineering Manual. EM 1110-2-1100 (Part II), Chapter 6. USACE Publications.
van de Kreeke, J. 1990a. Stability analysis of two-inlet bay system. Coastal Engineering 14: 481–497.
van de Kreeke, J. 1990b. Can multiple tidal inlets be stable?. Estuarine, Coastal and Shelf Science 30: 261–273.
van de Kreeke, J. 1988. Hydrodynamics of tidal inlets. In: Hydrodynamics and sediment dynamics of tidal inlets, eds. D.G. Aubrey and L. Weishar, 1–23. New York, Springer.
van de Kreeke, J., R.L. Brouwer, T.J. Zitman, and H.M. Schuttelaars. 2008. The effect of a topographic high on the morphological stability of a two-inlet bay system. Coastal Engineering 55: 319–332.
Weaver, S., and H. Hirschfield. 1976. Delineation of two plankton communities form one sampling site (Fire Island Inlet, NY). Marine Biology 34: 273–283.
Acknowledgements
Materials presented here were produced during the period when JY was supported by US National Science Foundation (Grants CBET-0845957). This is gratefully acknowledged. We would like to thank Dr. Claudia Hinrichs who has kindly provided the location map figure 1 and FVCOM predictions figure 6, as well as useful discussions.
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Communicated by Arnoldo Valle-Levinson
Appendix: Appendix A: Dimensionless equations and dynamical parameters
Appendix: Appendix A: Dimensionless equations and dynamical parameters
Denoting the dimensionless variables by primes, we choose the following normalization.
where ω = 2π/T is the angular frequency, T and a are the period and amplitude of the dominant constituent of ocean tidal forcing. Substituting into (2.1)–(2.6) and dropping the primes for brevity, the dimensionless equations are written, identifying the parameters that control the dynamics of the system.
where
are the sizing parameters, and
are the parameters determining the dynamics of inlet flows. Rewriting c i = (ℓ i /a)(a ω 2)/g, it is seen that c i compares the flow acceleration in an inlet of friction length ℓ i to gravity, under the excitation of ocean tide. Thus, c i provides a measure of the inertia of an inlet (i.e., its resistance to be accelerated), hence characterizing the transient time scale of an inlet in response to changes in ocean forcing. The longer an inlet is, the stronger inertia it has, hence the longer transient time it takes to reach a new equilibrium state of motion. Rewriting \(r_{i} = {b_{i}^{2}}/{K_{i}^{2}}\), where
is the coefficient of filling or repletion (Keulegan 1967) for inlet i based on the bay area A a . It summarizes the effects of hydraulic resistance in an inlet, the basin size and ocean forcing. The repletion coefficient K i is a measure of the ability of an inlet to fill a bay that is characterized by the surface area A a : For a given water level difference between the bay and ocean, the larger values of K i are, the faster the bay water level rises. It should be mentioned, however, Keulegan’s definition of K i may not be properly interpreted for inlet 4, since it does not connect to the ocean.
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Yu, J., Wilson, R.E. & Flagg, C.N. A Hydraulic Model for Multiple-Bay-Inlet Systems on Barrier Islands. Estuaries and Coasts 41, 373–383 (2018). https://doi.org/10.1007/s12237-017-0294-2
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DOI: https://doi.org/10.1007/s12237-017-0294-2