The computation of the free barotropic oscillations of a global ocean model including friction and loading effects

Ocean Dynamics

Volumn 55, Issue 2, 2005, Pages 137-161

  Zahel, Wilfried ^a   Müller, Malte ^a  

^a UNIVERSITY OF HAMBURG   (Germany)

Author keywords

Friction; Global ocean; Normal modes; Ocean loading

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FRICTION; KINETIC ENERGY; MARINE BIOLOGY; MATHEMATICAL MODELS; VORTEX FLOW;

FREE BAROTROPIC OSCILLATIONS; GLOBAL OCEAN; NORMAL MODES; OCEAN LOADING;

OSCILLATIONS;

BAROTROPIC INSTABILITY; GLOBAL OCEAN; PARAMETERIZATION;

EID: 27544481361     PISSN: 16167341     EISSN: 16167228     Source Type: Journal    
DOI: 10.1007/s10236-005-0029-y     Document Type: Article

References (30)

1. 2 tides in the world ocean from the knowledge of the tidal potential alone. Philo Trans R Soc Lond A 290:235-266
2. Egbert GD (1997) Tidal data inversion; interpolation and inference. Prog Oceanogr 40:53-80
3. Egbert GD, Ray RD (2000) Significant tidal dissipation in the deep ocean inferred from satellite data. Nature 405:775-778
4. Egbert GD, Bennett AF, Foreman MG (1994) TOPEX/POSEI-DON tides estimated using a global inverse model. J Geophys Res 99(C12):24821-24852
5. Francis O, Mazzega P (1990) Global charts of ocean tide loading effects. J Geophys Res 95(C7):11411-11424
6. Gaviño JH (1984) On the calculation of resonance oscillations of a World Ocean's finite difference model by means of the Lanczos method. Mitt Inst Meereskd Univ Hamburg 27:1-78
7. Golub GH, Van Loan CF (1989) Matrix Computations. The Johns Hopkins University Press, Baltimore
8. Gotlib VY, Kagan BA (1980) Resonance periods of the World Ocean. Dokl AN SSSR 252:725-728
9. Ipsen ICF (1996) A history of inverse iteration. In: Huppert B, Schneider H (eds) Helmut Wielandt, Mathematische Werke. Walter de Gruyter, pp 464-472
10. Kantha LH (1995) Barotropic tides in the global oceans from a nonlinear tidal model assimilating altimettric tides 1. Model description and results. J Geophys Res 100(C12):25283-25308
11. LeProvost C, Genco ML, Lyard F, Vincent P, Canceil P (1994) Tidal spectroscopy of the world ocean tides from a finite element hydrodynamic model. J Geophys Res 99(C12):24777-24798
12. LeProvost C, Lyard F, Molines JM, Genco ML, Rabilloud F (1998) A hydrodynamic ocean tide model improved by assimilating a satellite altimeter-derived data set. J Geophys Res 103(C3):5513-5529
13. Longuet-Higgins MS, Pond GS (1970) The free oscillations on a hemisphere bounded by meridians of longitude. Philos Trans R Soc Lond A 266:193-223
14. Marchuk GI, Kagan BA (1989) Dynamics of ocean tides. Kluwer, Dordrechet
15. Miller AJ (1989) On the barotropic planetary oscillations of the Pacific. J Mar Res 47:569-594
16. Paige CC, Saunders MA (1982) Sparse linear equations and least squares problems. ACM Trans Math Softw 8:195-209
17. Platzman GW (1984) Normal modes of the world ocean. Part III: a procedure for tidal synthesis. J Phys Oceanogr 14:1521-1532
18. Platzman GW, Curtis GA, Hansen KS, Slater RD (1981) Normal modes of the world ocean. Part II: description of modes in the period range 8 to 80 hours. J Phys Oceanogr 11:579-603
19. Rao DB (1966) Free gravitational oscillations in rotating rectangular basins. J Fluid Mech 25:523-555
20. Rao DB, Mortimer CH, Schwab DJ (1976) Surface normal modes of Lake Michigan: calculations compared with spectra of observed water level fluctuations. J Phys Oceanogr 6:575-586
21. Ray RD (1998) Ocean self-attraction and loading in numerical tidal models. Mar Geod 21:181-192
22. Shum CK et al (1997) Accuracy assessment of recent ocean tide models. J Geophys Res 102:25173-25194
23. Stepanov VN, Hughes CW (2004) Parameterization of ocean selfattraction and loading in numerical models of the ocean circulation. J Geophys Res 109(C03037):1-11
24. Webb DJ (1980) Tides and tidal friction in a hemispherical ocean centred at the equator. Geophys J R Astr Soc 61:573-600
25. Wielandt H (1944) Beiträge zur mathematischen Behandlung komplexer Eigenwertprobleme, Teil V: Bestimmung höherer Eigenwerte durch gebrochene Iteration. Bericht B 44/J/37, Aerodynamische Versuchsanstalt Göttingen, Göttingen
26. Zahel W (1980) Mathematical modelling of global interaction between ocean tides and earth tides. Phys Earth Planet Inter 21:202-217
27. Zahel W (1991) Modeling ocean tides with and without assimilating data. J Geophys Res B 12:20379-20391
28. Zahel W (1995) Assimilating ocean tide determined data into global tidal models. J Mar Syst 6:3-13
29. Zahel W (1997) Ocean Tides. In: Wilhelm H, Zürn W, Wenzel HG (eds) Tidal Phenomena. Springer, Berlin Heidelberg New York, pp 113-143
30. Zahel W, Gaviño JH, Seiler U (2000) Angular momentum and energy budget of a global ocean tide model with data assimilation (in Spanish). GEOS 20:400-413