146 A <strong>Semi</strong>-<strong>Implicit</strong>, <strong>Three</strong>-<strong>Dimensional</strong> <strong>Model</strong> <strong>for</strong> <strong>Estuarine</strong> Circulation Boericke, R.R., and Hall, D.W., 1974, Hydraulics and thermal dispersion in an irregular estuary: American Society of Civil Engineers, Journal of the Hydraulics Division, v. 100, no. 1, p. 85−102. Boudra, D.B., Bleck, Rainer, and Schott, Friedrich, 1987, Study of transport fluctuations and meandering of the Florida current using an isopycnic coordinate numerical model, in Nihoul, J.C.J., and Jamart, B.M., eds., <strong>Three</strong>-dimensional models of marine and estuarine dynamics: Amsterdam, Netherlands, Elsevier, p. 149−168. Boussinesq, Joseph, 1877, Essai sur la théorie des eaux courantes: Mémoires présentés par divers savants à l’Académie des Sciences, Paris, v. 23, no. 1, p. 1−680. Boussinesq, Joseph, 1903, Théorie analytique de la chaleur, vol. 2: Paris, Gathier-Villars. Bowden, K.F., 1977, Turbulent processes in estuaries, Chapter 5 in Studies in geophysics— estuaries, geophysics, and the environment: Washington, D.C., National Academy of Sciences, p. 46−56. Bryan, Kirk, 1969, A numerical method <strong>for</strong> the study of the circulation of the world ocean: Journal of Computational Physics, v. 4, p. 347−376. Burau, J.R., and Cheng, R.T., 1989, A vertically averaged spectral model <strong>for</strong> tidal circulation in estuaries—-Part 1. <strong>Model</strong> <strong>for</strong>mulation: U.S. Geological Survey Water-Resources Investigations Report 88-4126, 31 p. Butler, H.L., 1978, Coastal flood simulation in stretched coordinates, in Proceedings of the Sixteenth Coastal Engineering Conference: American Society of Civil Engineers, Hamburg, Germany, August 27−September 3, 1978, p. 1030−1048. Butler, H.L., 1980, Evolution of a numerical model <strong>for</strong> simulating long-period wave behavior in ocean-estuarine systems, in Hamilton, Peter, and Macdonald, K.B., eds., <strong>Estuarine</strong> and wetland processes with emphasis on modeling: Marine Science, v. 11, New York, Plenum Press, p. 147−182. Casulli, Vincenzo, 1990, <strong>Semi</strong>-implicit finite difference methods <strong>for</strong> the two-dimensional shallow water equations: Journal of Computational Physics, v. 86, p. 56−74. Casulli, Vincenzo, and Cattani, Elena, 1994, Stability, accuracy and efficiency of a semi-implicit method <strong>for</strong> three-dimensional shallow water flow: Computers & Mathematics with Applications, v. 27, no. 4, p. 99−112. Casulli, Vincenzo, and Cheng, R.T., 1990, Stability analysis of Eulerian-Lagrangian methods <strong>for</strong> the one-dimensional shallow- water equations: Applied Mathematical <strong>Model</strong>ling, v. 14, p.122−131. Casulli, Vincenzo, and Cheng, R.T., 1992, <strong>Semi</strong>-implicit finite difference methods <strong>for</strong> three-dimensional shallow water flow: International Journal <strong>for</strong> Numerical Methods in Fluids, v. 15, p. 629−648. Casulli, Vincenzo, and Stelling, G.S., 1996, Simulation of three-dimensional, non-hydrostatic free-surface flows <strong>for</strong> estuaries and coastal seas, in Spaulding, M.L., and Cheng, R.T., eds., Proceedings of the Fourth <strong>Estuarine</strong> and Coastal <strong>Model</strong>ing Conference: American Society of Civil Engineers, San Diego, Calif., October 26−29, 1995, p.1−12. Chapman, R.S., Johnson, W.H., Vemulakonda, S.R., 1996, User’s guide <strong>for</strong> the sigma stretched version of CH3D-WES—A three- dimensional numerical hydrodynamic, salinity, and temperature model: U.S. Army Corps of Engineers, Waterways Experiment Station, Technical report HL-96-21, 28 p. plus appendixes. Cheng, R.T., and Casulli, Vincenzo, 1996, <strong>Model</strong>ing the periodic stratification and gravitational circulation in San Francisco Bay, Cali<strong>for</strong>nia, 1996, in Spaulding, M.L., and Cheng, R.T., eds., Proceedings of the Fourth <strong>Estuarine</strong> and Coastal <strong>Model</strong>ing Conference: American Society of Civil Engineers, San Diego, Calif., October 26−29, 1995, p. 240−254. Cheng, R.T., Casulli, Vincenzo, and Gartner, J.W., 1993, Tidal, residual, inter-tidal mud-flat (TRIM) model with applications to San Francisco Bay: <strong>Estuarine</strong>, Coastal and Shelf Science, v. 36, p. 235−280.
7. References 147 Cheng, R.T., Powell, T.M. and Dillon, T.M., 1976, Numerical models of wind-driven circulation in lakes: Applied Mathematical <strong>Model</strong>ling, v. 1, p. 141−159. Cheng, R.T., and Smith, P.E., 1990, A survey of three-dimensional numerical estuarine models, in Spaulding, M.L., ed., Proceedings of the First <strong>Estuarine</strong> and Coastal <strong>Model</strong>ing Conference: American Society of Civil Engineers, Newport, R. I., November 15−17, 1989, p. 1−15. Chu, W.-S., Liou, J.-Y, and Flenniken, K.D., 1989, Numerical modeling of tide and current in Central Puget Sound—Comparison of a three-dimensional and a depth-averaged model: American Geophysical Union, Water Resources Research, v. 25, no. 4, p. 721−734. Crank, J., and Nicolson, P., 1947, A practical method <strong>for</strong> numerical evaluation of solutions of partial differential equations of the heat-conduction type: Proceedings of the Cambridge Philosophical Society, v. 43, p. 50−67. Cunge, J.A., Holly, F.M., and Verwey, Adrianus, 1980, Practical aspects of computational river hydraulics: London, Great Britain, Pitman Publishing, 420 p. Currie, I.G., 1974, Fundamental mechanics of fluids: New York, McGraw-Hill, 441 p. Cushman-Roisin, Benoit, 1994, Layered models, Chapter 12 in Introduction to geophysical fluid dynamics: Englewood Cliffs, N.J., Prentice Hall, p. 169−179. Davies, A.M., 1980, Application of the Galerkin Method to the <strong>for</strong>mulation of a three-dimensional nonlinear hydrodynamic numerical sea model: Applied Mathematical <strong>Model</strong>ling, v. 4, p. 245−256. Davies, A.M., 1985, Application of the Du<strong>for</strong>t-Frankel and Saul’ev methods with time splitting to the <strong>for</strong>mulation of a three dimensional hydrodynamic sea model: International Journal <strong>for</strong> Numerical Methods in Fluids, v. 5, no. 5, p. 405−425. Davies, A.M., 1987, Spectral models in continental shelf sea oceanography, in Heaps, N.S., ed., <strong>Three</strong>-dimensional coastal ocean models: American Geophysical Union, Washington, D.C., Coastal and <strong>Estuarine</strong> Sciences Monograph Series, v. 4, p. 71−106. Davies, A.M., 1991, On the finite difference and modal methods <strong>for</strong> computing tidal and wind wave current profiles: International Journal <strong>for</strong> Numerical Methods in Fluids, v. 12, no. 2, p. 101−124. Davies, A.M., Aldridge, John, and Lawrence, John, 1993, Formulation and application of a three dimensional shallow sea model including wave-current interaction, in Wang, S.S.Y., ed., Proceedings of the First International Conference on Hydro-Science and Engineering: v. 1, pt. B, Washington, D.C., June 7−11, 1993, p. 1618−1625. Davies, A.M., Jones, J.E., and Xing, J., 1997a, Review of recent developments in tidal hydrodynamic modeling. I—Spectral models: American Society of Civil Engineers, Journal of Hydraulic Engineering, v. 123, no. 4, p. 278−292. Davies, A.M., Jones, J.E., and Xing, J., 1997b, Review of recent developments in tidal hydrodynamic modeling. II—Turbulence energy models: American Society of Civil Engineers, Journal of Hydraulic Engineering, v. 123, no. 4, p. 293−302. Davies, A.M., and Lawrence, John, 1994, <strong>Model</strong>ing the non-linear interaction of wind and tide—its influence on current profiles: International Journal <strong>for</strong> Numerical Methods in Fluids, v. 18, p 163−188. Davies, A.M., Luyten, P.J., Deleersnijder, Eric, 1995, Turbulence energy models in shallow sea oceanography, in Lynch, D.R., and Davies, A.M., eds., Quantitative skill assessment <strong>for</strong> coastal ocean models: American Geophysical Union, Coastal and <strong>Estuarine</strong> Studies, Series no. 47, p. 97−123. Davies, A.M., and Stephens, C.V., 1983, Comparison of the finite difference and Galerkin methods as applied to the solution of the hydrodynamic equations: Applied Mathematical <strong>Model</strong>ling, v. 7, p. 226−240.
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