TECHNICAL PAPERS
Feb 1, 1985

Open Boundary Condition for Circulation Models

Publication: Journal of Hydraulic Engineering
Volume 111, Issue 2

Abstract

A persistent difficulty in modeling continental shelf and estuarine circulations is that associated with the correct specification of conditions on the open boundaries. This paper deals with the application of a new form of radiation condition on the open boundaries, which permits the mean subtidal and tidal forcing to be prescribed and, yet, allow transients generated inside the region to be transmitted outwards. A numerical model of shelf circulation is formulated, using vertically integrated equations, which accounts for tidal and transient wind forcing, as well as the effect of density gradients and the offshore large‐scale oceanic circulation. The shelf model is dynamically linked to a storm model. The shelf circulation model is applied to the Middle Atlantic Bight in a study of its response to a migratory storm superimposed on the subtidal and tidal circulation. The major estuaries of the region—Chesapeake Bay, Delaware Bay and Long Island Sound—are included in the domain, albeit at a resolution coarser than desirable. The model results are consistent with those of earlier observational and modeling studies.

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References

1.
Beardsley, R. C, and Boicourt, W. C, “On Estuarine and Continental‐shelf Circulation in the Middle Atlantic Bight,” Evolution of Physical Oceanography, (Scientific Surveys in Honor of Henry Stommel), B. A. Warren and C. Wunsch, eds., M.I.T. Press, Cambridge, Mass., 1981, pp. 198–234.
2.
Beardsley, R. C., Boicourt, W. C, and Hansen, D. V., “Physical Oceanography of the Middle Atlantic Bight,” Middle Atlantic Continental Shelf and the New York Bight, M. G. Gross, ed., American Society of Limnology and Oceanography, Special Symposia 2, 1981, pp. 20–34.
3.
Beardsley, R. C., and Butman, B., “Circulation on the New England Continental Shelf: Response to Strong Winter Storms,” Geophys. Res. Letters 1, 1974, pp. 181–184.
4.
Beardsley, R. C, and Flagg, C. N., “The Water Structure, Mean Currents, and Shelf‐Water/Slope‐Water Front on the New England Continental Shelf,” Memoires Soc. Roy. des Sciences de Liege 10, 1976, pp. 209–225.
5.
Beardsley, R. C, and Haidvogel, D. B., “Model Studies on the Wind‐Driven Transient Circulation in the Middle Atlantic Bight, Part I: Adiabatic Boundary Conditions,” J. Phys. Oceanogr. 11, 1981, pp. 355–375.
6.
Beardsley, R. C., Mofjeld, H., Wimbush, M., Flagg, C. N., and Vermersch, J. A., Jr., “Ocean Tides and Weather‐Induced Bottom Pressure Fluctuations in the Middle Atlantic Bight,” Journal of Geophysical Research, Vol. 82, 1977, pp. 3175–3182.
7.
Bishop, J. M., “A Note on the Seasonal Transport on the Middle Atlantic Shelf,” Journal of Geophysical Research, Vol. 85, 1980, pp. 4933–4936.
8.
Bishop, J. M., and Overland, J. E., “Seasonal Drift on the Middle Atlantic Shelf,” Deep‐Sea Research, Vol. 24, 1977, pp. 161–169.
9.
Blumberg, A. F., “Numerical Tidal Model of Chesapeake Bay,” Journal of the Hydraulics Division, ASCE, Vol. 103, 1977, pp. 1–10.
10.
Blumberg, A. F., and Kantha, L. H., “A Numerical Model of the Shelf Circulation in the Middle Atlantic Bight Driven by Tides, Transient Storms and Offshore Large‐Scale Circulation: Formulation of Proper Open Boundary Conditions,” Dynalysis of Princeton Report No. 73, Princeton, N.J., 1982, p. 185.
11.
Blumberg, A. F., and Mellor, G. L., “A Numerical Calculation of the Circulation in the Gulf of Mexico,” Dynalysis of Princeton Report No. 66, Princeton, N.J., 1981, p. 159, and Israel Journal of Earth‐Sciences, in press, 1985.
12.
Blumberg, A. F., Mellor, G. L., and Levitus, S., “The Middle Atlantic Bight: A Climatological Atlas of Oceanographic Properties,” New Jersey Marine Science Consortium Report No. NJ/P‐SG‐01‐08‐77, 1977.
13.
Bumpus, D. F., “A Description of the Circulation on the Continental Shelf of the East Coast of the United States,” Progress in Oceanogr., 6, 1973, pp. 111–157.
14.
Chen, H. S., “A Storm Surge Model Study, A Finite Element Storm Surge Analysis and Its Application to a Bay‐Ocean System,” Vol. II, Special Report No. 189, Applied Marine Science and Ocean Engineering, Virginia Institute of Marine Science, Glouster Point, Va., 1978.
15.
Csanady, G. T., “Mean Circulation in Shallow Seas,” Journal of Geophysical Research, Vol. 81, 1976, pp. 5389–5400.
16.
Fischer, H. B., “Transport Models for Inland and Coastal Waters,” Proceedings of a Symposium on Predictive Ability, Academic Press, New York, M.Y., 1981.
17.
Haight, F. J., “Coastal Currents Along the Atlantic Coast of the United States,” U.S. Dept. of Commerce, Coast and Geodetic Survey Special Publication No. 230, 1942, pp. 73.
18.
Hansen, D. V., Circulation, “MESA New York Bight Atlas Monograph 3,” New York Sea Grant Institute, 1977, p. 23.
19.
Hebenstreit, G. T., Bernard, E. N., and Vastano, A. C., “Application of Improved Numerical Techniques to the Tsunami Response of Island Systems,” J. Phys. Oceanogr., 10, 1980, pp. 1134–1140.
20.
Hopkins, T. S., “On the Sea Level Forcing of the Mid‐Atlantic Bight,” Journal of Geophysical Research, Vol. 87, 1982, pp. 1997–2006.
21.
Kantha, L. H., Mellor, G. L., and Blumberg, A. F., “Diagnostic Calculations of the Circulation in the Middle and South Atlantic Bights,” Ocean Modelling, 37, 1981, pp. 5–8.
22.
Kantha, L. H., Mellor, G. L., and Blumberg, A. F., “A Diagnostic Calculation of the General Circulation in the South Atlantic Bight,” J. Phys. Oceanogr., 12, 1982, pp. 805–819.
23.
Kantha, L. H., Blumberg, A. F., Herring, H. J., and Mellor, G. L., “South Atlantic Bight OCS Circulation Model Final Report,” Dynalysis of Princeton Report 77, 1983, p. 204.
24.
Mellor, G. L., “Open Boundary Conditions for the Shallow Water Wave Equations,” submitted for publication, 1983.
25.
Orlanski, I., “A Simple Boundary Condition for Unbounded Hyperbolic Flows,” J. Comput. Phys., 21, 1976, pp. 251–269.
26.
Pagenkopf, J. R., and Pearce, B. R., “Evaluation of Techniques for Numerical Calculation of Storm Surges,” MIT, Ralph M. Parsons Lab. Report No. 199, 1975.
27.
Pritchard, D. W., “Two Dimensional Models,” Estuarine Modelling: An Assessment, G. H. Ward and W. H. Espey, eds., Water Quality Office, Environmental Protection Agency, NTIS Publication No. PB206–807, Chap. 11‐2, 1971.
28.
Redfield, A. C, Introduction to Tides (The Tides of the Waters of New England and New York), Marine Science International, Woods Hole, Mass., 1980, p. 108.
29.
Regal, R., and Wunsch, C., “M2 Tidal Currents in the Western North Atlantic,” Deep‐Sea Research, Vol. 20, 1973, pp. 493–502.
30.
Saunders, P. M., “Wind Stress on the Ocean over the Eastern Continental Shelf of North America,” J. Phys. Oceanogr., 7, 1977, pp. 555–566.
31.
Schwiderski, E. W., “On Charting Global Ocean Tides,” Reviews of Geophysics and Space Physics, 18, 1980, pp. 243–268.
32.
Stommel, H., and Leetmaa, A., “Circulation on the Continental Shelf,” Proceedings of the U.S. National Academy of Science, 69, 1972, pp. 3380–3384.
33.
Swanson, R. L., Tides, “MESA New York Bight Atlas Monograph 4,” New York Sea Grant Institute, 1976, pp. 34.
34.
Wilson, B. W., “Hurricane Wave Statistics for the Gulf of Mexico,” Dept. of the Army Technical Memorandum No. 98, 1957.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 111Issue 2February 1985
Pages: 237 - 255

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Published online: Feb 1, 1985
Published in print: Feb 1985

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Authors

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Alan F. Blumberg
Sr. Sci., Dynalysis of Princeton, Princeton, N.J.
Lakshmi H. Kantha
Research Sci., Dynalysis of Princeton, Princeton, N.J.

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