Analysis methods for numerical weather prediction

作者: A. C. Lorenc

DOI: 10.1002/QJ.49711247414

关键词: Computer scienceData assimilationNumerical weather predictionEconometricsProbabilistic logicApplied mathematicsSmoothing splineInterpolationKrigingInitializationNonlinear system

摘要: SUMMARY Bayesian probabilistic arguments are used to derive idealized equations for finding the best analysis numerical weather prediction. These compared with those from other published methods in light of physical characteristics thc NWP problem; namely predetermined nature basis analysis, need approximation because large-order systems, undcrdctcrminacy problem when using observations alone, and availability prior relationships resolve underdeterminacy . Prior result (1) knowledge time evolution model (which together use a distribution constitutes four-dimensional data assimilation); (2) that atmosphere varies slowly (leading balance relationships); (3) nonlinear coupling parameters scales atmosphere. Methods discussed include variational techniques, smoothing splines, Kriging, optimal interpolation, successive corrections, constrained initialization, Kalman-Bucy filter, adjoint assimilation. They all shown relate hence each other. Opinions given on particular might he more appropriate. By comparison method some insight is gained into appropriate choices practical methods.

参考文章(26)
A. Lorenc, S. Tibaldi, THE TREATMENT OF HUMIDITY IN ECMWF'S DATA ASSIMILATION SCHEME Atmospheric Water Vapor. pp. 497- 512 ,(1980) , 10.1016/B978-0-12-208440-9.50035-1
Michael Ghil, K. Bube, L. Bengtsson, E. Källén, E. Isaacson, J. Tavantzis S. Coho, Dynamic Meteorology: Data Assimilation Methods ,(1981)
M. Ghil, S. Cohn, J. Tavantzis, K. Bube, E. Isaacson, Applications of Estimation Theory to Numerical Weather Prediction Springer, New York, NY. pp. 139- 224 ,(1981) , 10.1007/978-1-4612-5970-1_5
William Menke, Geophysical data analysis : discrete inverse theory International Geophysics Series. ,(1989)
A. G. Journel, Kriging in terms of projections Mathematical Geosciences. ,vol. 9, pp. 563- 586 ,(1977) , 10.1007/BF02067214
Páll Bergthörsson, Bo R. DÖÖs, Numerical Weather Map Analysis Tellus A. ,vol. 7, pp. 329- 340 ,(1955) , 10.3402/TELLUSA.V7I3.8902
J. Charney, M. Halem, R. Jastrow, Use of Incomplete Historical Data to Infer the Present State of the Atmosphere Journal of the Atmospheric Sciences. ,vol. 26, pp. 1160- 1163 ,(1969) , 10.1175/1520-0469(1969)026<1160:UOIHDT>2.0.CO;2