Data Assimilation in a Wave Equation: A Variational Representer Approach for the Grenoble Tidal Model

Journal of Computational Physics

Volumn 149, Issue 1, 1999, Pages 1-31

  Lyard, F H ^a  

^a Centre for Coastal and Marine Sciences   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COST FUNCTIONS; INVERSE PROBLEMS; LINEARIZATION; WAVE EQUATIONS;

COST-FUNCTION; DATA ASSIMILATION; DISCRETE SYSTEMS; ERROR COVARIANCES; GRENOBLE; HYDRODYNAMIC MODELING; HYDRODYNAMIC PROBLEMS; INVERSE METHODS; LINEAR COMBINATIONS; TIDAL MODELLING;

HYDRODYNAMICS;

EID: 0002900839     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.1998.5966     Document Type: Article

References (31)

1. C. Le Provost and A. Poncet, Finite element method for spectral modelling of tides, Int. J. Numer. Methods Eng. 12, 853 (1978).
2. C. Le Provost, A. Poncet, and G. Rougier, Numerical modelling of the harmonic constituents of the tides - Application to the English Channel, J. Phys. Oceanogr. 11(8), 1124 (1981).
3. P. Vincent and C. Le Provost, Semidiurnal tides in the northeast Atlantic from a finite element model, J. Geophys. Res. 93(C1), 543 (1988).
4. F. Lyard and M. L. Genco, Optimization methods of bathymetry and open boundary conditions in a finite element model of ocean tides, J. Comput. Phys. 114, 234 (1994).
5. C. Le Provost, M. L. Genco, F. Lyard, P. Vincent, and P. Canceill, Spectroscopy of the World Ocean tides from a hydrodynamic finite element model, J. Geophys. Res. 99(C12), 24,821 (1994).
6. C. Le Provost, F. Lyard, M. L. Genco, and F. Rabilloud, A hydrodynamic ocean tide model improved by assimilation of a satellite altimeter derived data set, J. Geophys. Res. 103(C3), 5513 (1998).
7. L. H. Kantha, Barotropic tides in the global ocean from a nonlinear tidal model assimilating altimetric tides, 1. Model description and results, J. Geophys. Res. 100(C12), 25,283 (1995).
8. L. H. Kantha, C. Tierney, J. W. Lopez, S. D. Desai, M. E. Parke, and L. Drexler, Barotropic tides in the global ocean from a nonlinear tidal model assimilating altimetric tides. 2. Altimetric and geophysical implications, J. Geophys. Res. 100(C12), 25,308 (1995).
9. O. Andersen, Global ocean tides from ERS1 and TOPEX/POSEIDON altimetry, J. Geophys. Res. 100(C12) (1995).
10. A. Tarantolla, Inverse Problem Theory. Method for Data Fitting and Model Parameter Estimation (Elsevier, New York, 1987).
11. G. Backus, Bayesian inference in geomagnetism, Geophys. J. Roy. Astrom. Soc. 92, 125 (1988).
12. E. W. Schwiderski, Ocean tides. II. A hydrodynamic interpolation model, Mar. Geod. 3, 219 (1980).
13. F. O. Jourdin, O. Francis, P. Vincent, and P. Mazzega, Some results of heterogenous data inversions for ocean tides, J. Geophys. Res. 96, 20,267 (1991).
14. G. D. Egbert and A. F. Bennett, Data Assimilation Methods for Ocean Tides: Modern Approches to Data Assimilation in Ocean Modelling (Elsevier, New York, 1996).
15. G. Kievman, Assimilating data into open ocean tidal models, in preparation.
16. F. Jourdin, Assimilation de measures Marégraphiques at Altimétriques dans un Modèle Hydrodynamique de Marées Océaniques, Ph.D. thesis (Université Paul Sabatier, Toulouse, 1992).
17. A. F. Bennett and P. C. McIntosh, Open ocean modelling as an inverse problem, J. Phys. Oceanogr. 12, 1004 (1982).
18. C. Le Provost and A. Poncet, C. Roy. Acad. Sci. B 285, 349 (1977).
19. D. R. Lynch, Oceans 81, Vol. 2 (IEEE, New York, 1981), p. 810.
20. G. Wahba and J. Wendelberger, Some new mathematical methods for variational objective analysis using splines and cross validation, Mon. Weather Rev. 108, 1122 (1980).
21. R. L. Parker, L. Shure, and J. A. Hildebrand, The application of inverse theory to seamount magnetism, Rev. Geophys. 25, 17 (1987).
22. A. F. Bennett, Inverse methods for assessing ship-of-oppurtunity networks and estimating circulation and winds from tropical expendable bathythermograph data, J. Geophys. Res. 95, 16 (1990).
23. A. F. Bennett, Inverse Methods in Physical Oceanography, Monographs on Mechanics and Applied Mathematics (Cambridge Univ. Press, New York, 1992).
24. G. D. Egbert, A. F. Bennett, and M. G. G. Foreman, TOPEX/POSEIDON tides estimated using a global inverse model, J. Geophys. Res. 99(C12), 24,821 (1994).
25. National Oceanographic and Atmospheric Administration (NOAA), NOAA NGDC Data Announcement 88-MG-02: Digital Relief of the Surface of the Earth, US Department of Commerce, NOAA, NGDC, Boulder, Colorado, 1992.
26. C. K. Shum, P. L. Woodworth, O. B. Andersen, G. Egbert, O. Francis, C. King, S. Klosko, C. Le Provost, X. Li, J.-M. Molines, M. Parke, R. Ray, M. Schlax, D. Stammer, C. Tierney, P. Vincent, and C. Wunsch, Accuracy assessment of recent ocean tide models, submitted for publication.
27. O. Francis and P. Mazzega, Global charts of ocean tide loading effects, J. Geophys. Res. 95(C7) 11,411 (1990).
28. F. H. Lyard, The tides in the Arctic Ocean from a finite element model, J. Geophys. Res. 102(C7), 15,611 (1997).
29. International Hydrographic Office (IHO), IHO Tidal Constituant Bank, Ocean and Aquat. Sci., Dep. of Fish. and Oceans, Ottawa, Ont., Canada, 1979.
30. M. J. Smithson, Pelagic tidal constants. 3. IAPSO Publication Scientifique No. 35. Published by the International Association for the Physical Sciences of the Ocean (IAPSO) of the International Union of Geodesy and Geophysics, 1992.
31. S. D. Desai and J. M. Wahr, Empirical ocean tide models estimated from TOPEX/POSEIDON altimetry, J. Geophys. Res. 100(C12), 25,205 (1995).