Optimal control of salinity boundary condition in a tidal model using a variational inverse method

Estuarine, Coastal and Shelf Science

Volumn 62, Issue 1-2, 2005, Pages 13-24

  Yang, Zhaoqing ^a   Hamrick, John M ^b  

^a BATTELLE MEMORIAL INSTITUTE   (United States)

^b TETRA TECH INC   (United States)

Author keywords

boundary condition; data assimilation; estuarine processes; hydrodynamic modeling; salinity transport; tidal model

Indexed keywords

BOUNDARY CONDITION; DATA ASSIMILATION; ESTUARINE DYNAMICS; HYDRODYNAMICS; NUMERICAL MODEL; SALINITY; SOLUTE TRANSPORT;

EID: 9944219672     PISSN: 02727714     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ecss.2004.08.003     Document Type: Article

References (39)

1. A.K. Alekseev, and I.M. Navon The analysis of an ill-posed problem using multiscale resolution and second order adjoint techniques Comput. Methods Appl. Mech. Eng. 190 2001 1937 1953
2. A. Bennett Inverse Methods in Physical Oceanography 1992 Cambridge University Press 346 pp.
3. A. Bennett, and P. McIntosh Open ocean modeling as an inverse problem: tidal theory J. Phys. Oceanogr. 12 1982 1004 1018
4. P. Courtier, J.N. Thepaut, and A. Hollingsworth A strategy for operational implementation of 4D-Var, using an incremental approach Q. J. R. Meteorol. Soc. 120 1994 1367 1387
5. G. Evensen Open boundary conditions for the extended Kalman filter with a quasi-geostrophic ocean model J. Geophys. Res. 98 1993 16529 16546
6. Hamrick, J.M., 1992. A three-dimensional environmental fluid dynamics computer code: theoretical and computational aspects. Virginia Institute of Marine Science, Special Report 317, 63 pp.
7. J.M. Hamrick, and Wm. B. Mills Analysis of water temperatures in Conowingo Pond as influenced by the Peach Bottom atomic power plant thermal discharge Environ. Sci. Policy 3 2000 s197 s209
8. Z.-G. Ji, M.R. Morton, and J.M. Hamrick Wetting and drying simulation of estuarine processes Estuar. Coast. Shelf Sci. 53 2001 683 700
9. K.R. Jin, J.M. Hamrick, and T.S. Tisdale Application of a three-dimensional hydrodynamic model for Lake Okeechobee J. Hydraul. Eng. 106 2000 758 772
10. R.W. Lardner Optimal control of open boundary conditions for a numerical tidal model Comput. Methods Appl. Mech. Eng. 102 1993 367 387
11. R.W. Lardner, and S.K. Das Optimal estimation of eddy viscosity for a quasi-three-dimensional numerical tidal and storm surge model Int. J. Num. Methods Fluids 18 1994 295 312
12. Y. Li, I.M. Navon, P. Courtier, and P. Gauthier Variational data assimilation with a semi-Lagrangian semi-implicit global shallow water equation model and its adjoint Mon. Weather Rev. 121 1993 1759 1769
13. M.D. Gunzburger Perspectives in flow control and optimization Advances in Design and Control 2002 SIAM Philadelphia 261 pp.
14. G.L. Mellor, and T. Yamada Development of a turbulence closure model for geophysical fluid problems Rev. Geophys. Space Phys. 20 1982 851 875
15. I.M. Navon, and R. de Villiers Combined penalty multiplier optimization methods to enforce integral invariant conservation Mon. Weather Rev. 111 1983 1228 1243
16. I.M. Navon, X. Zou, J. Derber, and J. Sela Variational data assimilation with an adiabatic version of the NMC spectral model Mon. Weather Rev. 120 1992 1422 1446
17. R. Schlitzer Determining the mean, large-scale circulation of the Atlantic with the adjoint method J. Phys. Oceanogr. 23 1993 1935 1952
18. J. Schroter Driving of nonlinear time-dependent ocean models by observation of transient tracers: a problem of constrained optimization D. Anderson J. Willebrand Oceanic Circulation Models: Combining Data and Dynamics 1989 Kluwer Academic Publisher 257 285
19. U. Seiler Estimation of the open boundary conditions with the adjoint method J. Geophys. Res. 98 1993 22855 22870
20. J. Shen, and A.Y. Kuo Numerical investigation of an estuarine front and its associated topographic eddy J. Waterway Port Coast. Ocean Eng. 125 1999 127 135
21. I. Shulman, and J. Lewis Optimization approach to the treatment of open boundary conditions J. Phys. Oceanogr. 25 1995 1006 1011
22. J. Smogarinsky General circulation experiments with the primitive equations. I. The basic experiment Mon. Weather Rev. 91 1963 99 164
23. Spitz, Y.H., 1995. A feasibility study of dynamical assimilation of tide gauge data in the Chesapeake Bay. CCPO Technical Report No. 95-08. PhD dissertation, Old Dominion University, Norfolk, Virginia.
24. P.G.J. Ten Brummelhuis, A.W. Heemink, and H.P.F. Van Den Boorgaard Identification of shallow sea models Int. J. Num. Methods Fluids 17 1993 637 665
25. Thacker, W.C., 1987. Three lectures on fitting numerical models to observations. GKSS Forschungszentrum Geesthacht GmbH, Geesthacht, Federal Republic of Germany, External Report GKSS87/E/65, 64 pp.
26. W.C. Thacker Fitting models to inadequate data by enforcing spatial and temporal smoothness J. Geophys. Res. 93 1988 10655 10665
27. W.C. Thacker Large least-squares problems and the need for automating the generation of adjoint codes E.L. Allgower K. George Lectures in Applied Mathematics vol. 26 1990 American Mathematical Society Providence, RI 645 677
28. E. Tziperman, and W.C. Thacker An optimal-control/adjoint-equations approach to studying the oceanic general circulation J. Phys. Oceanogr. 19 1989 1471 1485
29. W. Yang, I.M. Navon, and P. Courtier A new Hessian preconditioning method applied to variational data assimilation experiments using a NASA general circulation model Mon. Weather Rev. 124 1996 1000 1017
30. Z. Yang, A. Baptista, and J. Darland Numerical modeling of flow characteristics in a rotating annular flume Dyn. Atmos. Oceans 31 2000 271 294
31. Z. Yang, and J.M. Hamrick Variational inverse parameter estimation in a long-term tidal transport model Water Resour. Res. 38 10 2002 1204 10.1029/2001WR001121
32. Z. Yang, and J.M. Hamrick Variational inverse parameter estimation in a cohesive sediment transport model: an adjoint approach J. Geophys. Res. 108 C2 2003 3055 10.1029/2002JC001423
33. L. Yu, and J.J. O'Brien Variational estimation of the wind stress drag coefficient and the oceanic eddy viscosity profile J. Phys. Oceanogr. 21 1991 709 719
34. Y. Zhu, 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 1999 1497 1517
35. X. Zou, I.M. Navon, and J. Sela Control of gravitational oscillations in variational data assimilation Mon. Weather Rev. 121 1993 272 289
36. J. Zou, and G. Holloway Improving steady-state fit of dynamics to data using the adjoint equation for gradient preconditioning Mon. Weather Rev. 123 1995 199 211
37. J. Zou, W.W. Hsien, and I.M. Navon Sequential open boundary control by data assimilation in a limited area model Mon. Weather Rev. 123 1995 2899 2909
38. D. Zupanski The effect of discontinuities in the Betts-Miller cumulus convection scheme on four-dimensional data assimilation Tellus 45A 1993 511 524
39. M. Zupanski A preconditioning algorithm for four-dimensional variational data assimilation Mon. Weather Rev. 124 11 1996 2562 2573