Turbulent viscosity optimized by data assimilation

Annales Geophysicae

Volumn 17, Issue 11, 1999, Pages 1463-1477

  Leredde, Y ^a   Devenon, J L ^b   Dekeyser, I ^a  

^a STATION MARINE D ENDOUME   (France)

^b UNIVERSITÉ DE TOULON   (France)

Author keywords

Oceanography: General (numerical modelling); Oceanography: Physical (turbulence, diffusion, and mixing processes)

Indexed keywords

EID: 22844454423     PISSN: 09927689     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00585-999-1463-9     Document Type: Article

References (40)

1. Andre, J. C., G. De Moor, P. Lacarrere, G. Therry and R. Du Vachat, Clipping approximation and inhomogeneous turbulence simulations in, Turbulent shear flows I, Springer, Berlin Heidelberg New York, 307-318, 1979.
2. Begis, D., and M. Crépon, On the generation of currents by winds: an identification method to determine oceanic parameters, Lecture notes in Physics, 58, 1975.
3. Blackadar, A. K., The vertical distribution of wind and turbulent exchange in a neutral atmosphere, J. Geophys. Res., 4,333- 355, 1962.
4. Blumberg, A. F., and D. M. Goodrich Modelling of wind-induced destratification in Chesapeake Bay, Estuaries, 13(3) 236-249, 1990.
5. Bennett, A. F., Inverse methods in physical oceanography, Cambridge University Press, Cambridge, UK, 346 pp, 1992.
6. Bennett, A. F. and R. N. Miller, Weighting initial conditions in variational assimilation schemes, Mon. Weather Rev., 119, 1098-1102, 1991.
7. Crépon, M. and C. Richez, Transient upwelling generated by twodimensional atmospheric forcing and variability in the coastline, J. Phys. Oceanogr., 12, 1437-1456, 1982.
8. Courtier, P., and O. Talagrand, Variational assimilation of meteorological observations with the direct and adjoint shallow-water equations, Tellus, 42A, 531-549, 1990.
9. Devenon, J. L., Optimal control theory applied to an objective analysis of a tidal current mapping by HF radar, J. Atmos. Ocean. Tech., 7, 269-284, 1990.
10. Eknes, M., and G. Evensen, Parameter estimation solving a weak constraint variational formulation for an Ekman model, J. Geophys. Res., 102 (C6), 12: 479-491, 1997.
11. Foo E. C., A two-dimensional diabatic isopycnal model simulating the coastal upwelling front, J. Phys. Oceanogr., 11, 604-626, 1981.
12. Gilbert, J. C., and C. Lemarechal, Some numerical experiments with variable-storage quasi-Newton algorithms, Math. Progr., 45, 407-435, 1989.
13. Kundu, P. K., S. Y. Chao, and J. P. McCreary, Transient coastal currents and inertio-gravity waves, Deep-Sea Res., 30, 10A: 1059-1082, 1983.
14. Le Dimet, F.-X, and O. Talagrand, Variational algorithms for analysis and assimilation of meteorological observations: theoretical aspects, Tellus, 38A, 97-110, 1986.
15. Leendertse, J. J., and S.-K. Liu, A three-dimensional model for estuaries and coastal seas: turbulent energy computation, The RAND Corporation (California), Internal Rep., 1977.
16. Leendertse, J. J., R. C. Alexander and S.-K. Liu, A threedimensional model for estuaries and coastal seas: principles of computation, The RAND Corporation (California), Internal Rep., 1973.
17. Lellouche, J. M., Méthodes numériques d'assimilation de données appliquées àla modélisation tridimensionnelle des écoulements en milieu peu profond, PhD Thesis, Université d'Aix-Marseille II, 162 pp, 1995.
18. Lellouche, J. M., J. L., Devenon, and I., Dekeyser, Boundary control on Burgers' equation A numerical approach, Comput. Math. Applic., 28, 5: 33-44, 1994.
19. Lellouche, J. M., J. L. Devenon and I. Dekeyser, Data assimilation by optimal control in a 3-D coastal oceanic model: the problem of the discretization, J. Atmos. Ocean. Tech., 15, 2: 470-481, 1998.
20. Leredde, Y., Méthode d'assimilation de données par contrôle optimal appliquée àl'estimation des paramètres de diffusion turbulente dans un modèle 3D de circulation océanique, PhD Thesis, Université d'Aix-Marseille II, 149 pp, 1999.
21. Leredde, Y., J. M. Lellouche, J. L. Devenon and I. Dekeyser, On initial, boundary conditions and viscosity coefficient control for Burgers' equation., Int. J. Num. Melh. Fluids, 28, 113-128, 1998.
22. Lions, J. L., Optimal control of'system governed by partial differential equations, Springer, Berlin Heidelberg New York, 396 pp, 1971
23. Luyten, P. J., E. Deleersnijder, J. Ozer and K. G. Ruddick, Presentation of a family of turbulence closure models for stratified shallow water flows and preliminary application to the Rhine Outflow region, Com. Shelf Res., 16, 1: 101-130, 1996.
24. Mellor, G. L., and T. Yamada, A hierarchy of turbulence closure models for planetary boundary layers, J. Almos. Sei., 31, 1791-1806, 1974.
25. Mellor, G. L., and T. Yamada, Development of a turbulence closure model for geophysical fluid problems, Rev. Geophys. Space. Phys., 20, 851-875, 1982.
26. Menke, W., Geophysical data analysis: discrete inverse theory. Academic Press, London, 260 pp, 1984.
27. Moore, A. M., Data assimilation in a quasi-geostrophic openocean model of the Gulf Stream region using the adjoint method, J. Phys. Oceanogr., 21, 398-427, 1991.
28. Munk, W. H., and E. R. Anderson, Notes on a theory for a thermocline, J. Mar. Res., 7, 276-295, 1948.
29. Nihoul, J. C. J., Modèles Mathématiques et dynamique de l'environnement, ELE, Liège, 198pp, 1977.
30. Nihoul, J. C. J., E. Deleersnijder and S. Djenidi, Modelling the general circulation of shelf seas by 3D k -E models, Earlh-Sci. Rev., 26, 163-189, 1989.
31. Panchang, V. G., and J. E. Richardson, Inverse adjoint estimation of eddy viscosity for coastal flow models, J. Hydraulic Eng., 119, 4: 506-524, 1993.
32. Pedlosky, J., Geophysical fluid dynamics. Springer, Berlin Heidelberg New York, 624 pp., 1982.
33. Pinazo, C., P. Marsaleix, B. Millet, C. Estournel and R. Véhil, Spatial and temporal variability of phytoplankton biomass in upwelling areas of the northwestern Mediterranean: a coupled physical and biogeochimical modelling approach, J. Mar. Syst., 7,161-191, 1996.
34. Rodi, W., Turbulence models and their applications in hydraulics. A stale of are review. International Association for Hydraulics Research, Delft, Netherlands, 104 pp, 1980.
35. Roquet, H., S. Planton and P. Caspar, Determination of ocean surface heat fluxes by a variational method, J. Geophys. Res., 98(C6), 10: 211-221, 1993.
36. Seiler, U., Estimation of open boundary conditions with the adjoint method, J. Geophys. Res., 98, C12: 22, 855-22, 870, 1993.
37. Thouvenin, B., and J. C. Salomon, Modèle tridimensionnel de circulation et de dispersion en zone côtière àmarée. Premiers essais: cas schématiques et baie de Seine, Oceanol. Ada, 7(4), 417-29, 1984.
38. Van Dam, G. C., and R. A. Louwersheimer, A three-dimensional transport model for dissolved and suspended matter in estuaries and coastal seas, in Dynamics and exchanges in estuaries and the coastal zone, Coastal and Estuarine Studies 40 A.G.U. Washington, DC, pp. 481-506 Ed., D. Prandle 1992.
39. Vandenberghe, F., Assimilation de measures satellitaires dans les modèles numériques par méthodes de contrôle optimal, PhD Thesis, ENSM Paris, 1992.
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.