Variational inverse parameter estimation in a cohesive sediment transport model: An adjoint approach

Journal of Geophysical Research: Oceans

Volumn 108, Issue 2, 2003, Pages

  Yang, Zhaoqing ^a   Hamrick, John M ^b  

^a Foster Wheeler Environ Corporation   (United States)

^b TETRA TECH INC   (United States)

Author keywords

Data assimilation; Estuarine processes; Numerical modeling; Sediment transport; Tide

Indexed keywords

DATA ASSIMILATION; ESTUARY; NUMERICAL MODEL; PARAMETERIZATION; RESUSPENSION; SEDIMENT TRANSPORT; SUSPENDED SEDIMENT;

JAMES RIVER ESTUARY; UNITED STATES; VIRGINIA;

EID: 0037670862     PISSN: None     EISSN: 21699291     Source Type: Journal    
DOI: 10.1029/2002jc001423     Document Type: Article

References (42)

1. Ariathurai, R. O., and K. Arulanandan, Erosion of cohesive soils, J. Hydraul. Div. Am. Soc. Civ. Eng., 104, 279-283, 1978.
2. Ariathurai, R. O., and R. B. Krone, Finite element model for cohesive sediment transport, Proc. Am. Soc. Civ. Eng., 102, 323-338, 1976.
3. Cancino, L., and R. Neves, 3D-numerical modeling of cohesive suspended sediment in the Western Scheldt Estuary (The Netherlands), Neth. J. Aquat. Ecol., 28, 337-345, 1994.
4. DeVries, J. W., Field measurements of the erosion of cohesive sediments, J. Coastal Res., 8, 312-318, 1985.
5. Dyer, K. R., Coastal and Estuarine Sediment Dynamics, 342 pp., John Wiley, New York, 1986.
6. Galperin, B., L. H. Kantha, S. Hassid, and A. Rosati, A quasi-equilibrium turbulent energy model for geophysical flows. J. Atmos. Sci., 45, 55-62, 1988.
7. Ghil, M., and P. Malanotte-Rizzoli, Data assimilation in meteorology and oceanography, Adv. Geophys., 33, 141-265, 1991.
8. Gibbs, R. J., Estuarine flocs: Their size, settling velocity, and density, J. Geophys. Res., 90, 3249-3251, 1985.
9. Greenberg, D. A., and C. L. Amos, Suspended sediment transport and modeling in the Bay of Fundy, Nova Scotia-A region of potential tidal power development, Can. J. Fish. Aquat. Sci., 40, 20-34, suppl. 1, 1983.
10. Hamrick, J. M., A three-dimensional environmental fluid dynamics computer code: Theoretical and computational aspects, Rep. 317, 63 pp., Va. Inst. of Mar. Sci., Gloucester Point, Va., 1992.
11. Hamrick, J. M., and T. S. Wu,, Computational design and optimization of the EFDC/HEM3D surface water hydrodynamic and eutrophication models, in Computational Methods for Next Generation Environmental Models, edited by G. Delick, pp. 143-156, Soc. of Ind. and Appl. Math., Philadelphia, Pa., 1996.
12. Hayter, E. J., Prediction of cohesive sediment transport in estuarial waters, Ph.D. dissertation, Coastal and Oceanogr. Eng. Dep., Univ. of Fla., Gainesville, 1983.
13. Hayter, E. J., and A. J. Mehta, Modeling cohesive sediment transport in estuarial waters, Appl. Math. Model., 10, 294-303, 1986.
14. Krone, R. B., Flume studies of the transport of sediment in estuarial shoaling processes, final report, Hydraul. Eng. Lab. and Sanit. Eng. Res. Lab., Univ. of Calif., Berkeley, Calif., 1962.
15. Mehta, A. J., Review of erosion function for cohesive sediment beds, in Proceedings of the 1st Indian Conference on Coastal Engineering, pp. 122-130, Indian Inst. of Technol., Madras, India, 1981.
16. Mehta, A. J., E. J. Hayter, W. R. Parker, R. B. Krone, and A. M. Teeter, Cohesive sediment transport, part I, Process description, J. Hydraul. Eng., 115, 1076-1093, 1989.
17. Mellor, G. L., and T. Yamada, Development of a turbulence closure model for geophysical fluid problems, Rev. Geophys., 20, 851-875, 1982.
18. Navon, I. M., A review of variational and optimization methods in meteorology, in Variational Methods in Geoscience: Proceedings of the International Symposium on Variational Methods in Geosciences Held at the University of Oklahoma, Norman, Oklahoma, on October 15-17, 1985, Developments in Geomathematics, vol. 5, edited by Y. K. Sasaki, pp. 29-34, Elsevier Sci., New York, 1986.
19. Navon, I. M., Practical and theoretical aspects of adjoint parameter estimation and identifiability in meteorology and oceanography, Dyn. Atmos. Oceans, 27, 55-79, 1998.
20. Navon, I. M., and D. M. Legler, Conjugate-gradient methods for large-scale minimization in meteorology, Mon. Weather Rev., 115, 1479-1502, 1987.
21. Navon, I. M., X. Zou, M. Berger, P. K. H. Phua, T. Schlick, and F. X. Le Dimet, Testing for reliability and robustness of optimization codes for large scale optimization problems, in Optimization Techniques and Applications, vol. 1, edited by K. H. Phua et al., pp. 445-480, World Sci., River Edge, N.J., 1992.
22. Nichols, M. M., Sediments of the James River estuary, Virginia, in Environmental Framework of Coastal Plain Estuaries, edited by B. W. Nelson, pp. 196-211, Geol. Soc. of Am., Boulder, Colo., 1972.
23. Nichols, M. M., G. H. Johnson, and P. C. Peebles, Modern sediments and facies model for a microtidal coastal plain estuary, the James estuary, Virginia, J. Sediment. Petrol., 6, 883-899, 1991.
24. Nicholson, J., and B. A. O'Connor, Cohesive sediment transport model, J. Hydraul. Eng., 112, 621-640, 1986.
25. Owen, M. W., A detailed study of the settling velocities of an estuary mud, Rep. INT 78, Hydraul. Res. Stn., Wallingford, U.K., 1970.
26. Partheniades, E., A study of erosion and deposition of cohesive soils in salt water, Ph.D. dissertation, Univ. of Calif., Berkeley, 1962.
27. Pritchard, D. W., Salinity distribution and circulation in the Chesapeake Bay estuarine system, J. Mar. Res., 11, 106-123, 1952.
28. Sanford, L. P., and J. P. Halka, Assessing the paradigm of mutually exclusive erosion and deposition of mud, with examples from upper Chesapeake Bay, Mar. Geol., 114, 37-57, 1993.
29. Schlitzer, R., Determining the mean, large-scale circulation of the Atlantic with the adjoint method, J. Phys. Oceanogr., 23, 1935-1952, 1993.
30. Schroter, J., Driving of nonlinear time-dependent ocean models by observation of transient tracers: A problem of constrained optimization, in Oceanic Circulation Models: Combining Data and Dynamics, edited by D. Anderson and J. Willebrand, pp. 257-285, Kluwer Acad., Norwell, Mass., 1989.
31. Shanno, D. F., and K. H. Phua, Remark on algorithm 500-A variable method for unconstrained nonlinear minimization, Trans. Math. Software, 6, 618-622, 1980.
32. Sheng, Y. P., Modeling bottom boundary layer and cohesive sediment dynamics in estuarine and coastal waters, in Estuarine Cohesive Sediment Dynamics: Proceedings of a Workshop on Cohesive Sediment Dynamics With Special Reference to Physical Processes in Estuaries, edited by A. Mehta, pp. 360-400, Springer-Verlag, New York, 1986.
33. Sheng, Y. P., and W. Lick, The transport and resuspension of sediments in a shallow lake, J. Geophys. Res., 84, 1809-1826, 1979.
34. Sheng, Y. P., D. E. Eliason, and X. J. Chen, Modeling three-dimensional circulation and sediment transport in lakes and estuaries, in Estuarine and Coastal Modeling: Proceedings of the 2nd International Conference, edited by M. L. Spaulding et al., pp. 105-115, Am. Soc. of Civ. Eng., New York, 1992.
35. Smedstad, O. M., and J. J. O'Brien, Variational data assimilation and parameter estimation in the equatorial Pacific Ocean model, Prog. Oceanogr., 26, 179-241, 1991.
36. Sternberg, R. W., K. Krank, D. A. Cacchione, and D. E. Drake, Suspended sediment transport under estuarine tidal channel conditions, Sediment. Geol., 57, 257-272, 1988.
37. Thacker, W.C., Three lectures on fitting numerical models to observations, External Rep. GKSS87/E/65, 64 pp., GKSS Forschungszentrum Geesthacht GmbH, Geesthacht, Germany, 1987.
38. Thacker, W. C., Large least-squares problems and the need for automating the generation of adjoint codes, in Lectures in Applied Mathematics, vol. 26, Computational Solution of Nonlinear Systems of Equations, edited by E. L. Allgower and K. George, pp. 645-677, Am. Math. Soc., Providence, R.I., 1990.
39. van Leussen, W., and J. M. Cornelisse. The role of large aggregates in estuarine fine-grained sediment dynamics, in Nearshore and Estuarine Cohesive Sediment Transport, Coastal Estuarine Stud., vol. 42, edited by A. J. Mehta, pp. 75-91, AGU, Washington, D. C., 1993.
40. Yu, L., and J. J. O'Brien, Variational estimation of the wind stress drag coefficient and the oceanic eddy viscosity profile, J. Phys. Oceanogr., 21, 709-719, 1991.
41. Zhu, Y., and I. M. Navon, Impact of parameter estimation on the performance of the FSU global spectral model using its full physics adjoint, Mon. Weather Rev., 127, 1497-1517, 1999.
42. Zou, X., I. M. Navon, M. Berger, K. H. Phua, T. Schlick, and F. X. Le Dimet, Numerical experience with limited-memory quasi-Newton and truneated Newton methods, SIAM J. Control Optim., 3, 582-608, 1993.