Data assimilation with inequality constraints

Ocean Modelling

Volumn 16, Issue 3-4, 2007, Pages 264-276

  Thacker, W C ^a  

^a ATLANTIC OCEANOGRAPHIC AND METEOROLOGICAL LABORATORY   (United States)

Author keywords

Estimation theory; HYCOM; Inequality constraint; Oceanic data assimilation

Indexed keywords

COMPUTER SIMULATION; DATA PROCESSING; ESTIMATION; GRAPHIC METHODS; INTERPOLATION; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; OPTIMIZATION; PROBABILITY DISTRIBUTIONS;

INEQUALITY CONSTRAINT; OCEAN DATA ASSIMILATION; OPTIMAL INTERPOLATION;

OCEANOGRAPHY;

ALGORITHM; DATA ASSIMILATION; ESTIMATION METHOD; LAGRANGIAN ANALYSIS; NUMERICAL MODEL; PROBABILITY;

EID: 33846294028     PISSN: 14635003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ocemod.2006.11.001     Document Type: Article

References (22)

1. Behringer D.W., Ji M., and Leetmaa A. An improved coupled model for ENSO prediction and implications for ocean initialization. Part I: The ocean data assimilation system. Mon. Wea. Rev. 126 (1998) 1013-1021
2. Bleck R. An oceanic general circulation model framed in hybrid isopycnic-Cartesian coordinates. Ocean Modell. 37 (2002) 55-88
3. Bretherton F.E., Davis R.E., and Fandry C.B. A technique for objective analysis and design of oceanographic experiments applied to mode-73. Deep-Sea Res. 23 (1976) 559-582
4. Carton J.A., Chepurin G., Cao X., and Giese B. A simple ocean data assimilation analysis of the global upper ocean 1950-1995. J. Phys. Oceanogr. 30 (2000) 294-309
5. Cohn S.E. An introduction to estimation theory. J. Meteor. Soc. Jpn. 75 (1997) 257-288
6. Daley R. Atmospheric Data Analysis (1991), Cambridge University Press, Cambridge
7. Draper N.R., and Smith H. Applied Regression Analysis (1981), John Wiley and Sons, New York
8. Evensen G. Inverse methods and data assimilation in nonlinear ocean models. Physica D 77 (1994) 108-129
9. Gandin, L.S., 1963. Objective Analysis of Meteorological Fields. Israel Program for Scientific Translations, Jerusalem, translated from the Russian.
10. In: Gelb A. (Ed). Applied Optimal Estimation (1974), Springer-Verlag, Cambridge, MA
11. Gill P.E., Murray W., and Wright M.H. Practical Optimization (1981), Academic Press, London
12. Gnanadesikan A. Numerical issues for coupling biological models with isopycnal mixing schemes. Ocean Modell. 1 (1999) 15-883
13. Kalman R.E. A new approach to linear filtering and prediction problems. Trans. Am. ASME, Ser. D, J. Basic Eng. 82 (1960) 35-45
14. Le Dimet F.X., and Talagrand O. Variational algorithms for analysis and assimilation of meteorological observations: Theoretical aspects. Tellus A 38 (1986) 97-110
15. Lorenc A.C. Analysis methods for numerical weather prediction. Quart. J. Roy. Meteor. Soc. 112 (1986) 1177-1194
16. Marotzke J., Giering R., Zhang Q.K., Stammer D., Hill C.N., and Lee T. Construction of the adjoint MIT ocean general circulation model and application to Atlantic heat transport sensitivity. J. Geophys. Res. 104 (1999) 29529-29548
17. Sasaki Y. Some basic formalisms in numerical variational analysis. Mon. Wea. Rev. 98 (1970) 875-883
18. Smolarkiewicz K.P. A fully multidimensional positive definite advection transport algorithm with small implicit diffusion. J. Comput. Phys. 54 (1984) 325-362
19. Thacker W.C. The role of the Hessian matrix in fitting models to measurements. J. Geophys. Res. 94 (1989) 6177-6196
20. Thacker W.C., and Esenkov O.E. Assimilating XBT data into HYCOM. J. Atmos. Oceanic Technol. 19 5 (2002) 709-724
21. Thacker W.C., and Long R.B. Fitting dynamics to data. J. Geophys. Res. 93 (1988) 1227-1240
22. Thacker W.C., Lee S.-K., and Halliwell Jr. G.R. Assimilating 20 years of Atlantic XBT data into HYCOM: A first look. Ocean Modell. 7 (2004) 183-210