Abstract
The spectrum of atmospheric motions is vast, encompassing phenomena having periods ranging from seconds to millennia. The motions of interest to the forecaster typically have timescales of a day or longer, but the mathematical models used for numerical prediction describe a broader span of dynamical features than those of direct concern. For many purposes these higher frequency components can be regarded as noise contaminating the motions of meteorological interest. The elimination of this noise is achieved by adjustment of the initial fields, a process called initialization.
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Baer, F., 1977. Adjustment of initial conditions required to suppress gravity oscillations in nonlinear flows. Beitr. Phys. Atmos., 50, 350–366.
Bubnová, R., G. Hello, P. Bénard and J.-F. Geleyn, 1995. Integration of the fully elastic equations cast in the hydrostatic pressure terrain-following coordinate in the framework of the ARPEGE/Aladin NWP system. Mon. Weather Rev., 123, 515–535.
Charney, J.G., 1955. The use of the primitive equations of motion in numerical prediction. Tellus, 7, 22–26.
Charney, J.G., R. Fjørtoft and J. von Neumann, 1950. Numerical integration of the barotropic vorticity equation. Tellus, 2, 237–254.
Chen, M. and X.-Y. Huang, 2006. Digital filter initialization for MM5. Mon. Weather Rev., 134, 1222–1236.
Daley, R., 1991. Atmospheric Data Assimilation. Cambridge University Press, Cambridge, 457pp.
Gauthier, P. and J.-N. Thépaut, 2001. Impact of the digital filter as a weak constraint in the pre-operational 4D-Var assimilation system of Météo-France. Mon. Weather Rev., 129, 2089–2102.
Gustafsson, N., 1992. Use of a digital filter as weak constraint in variational data assimilation. Proceedings of the ECMWF Workshop on Variational Assimilation, with Special Emphasis on Three-Dimensional Aspects, pp 327–338. Available from the European Centre for Medium Range Weather Forecasting, Shinfield Park, Reading, Berks. RG2 9AX, UK.
Hamming, R.W., 1989. Digital Filters. Prentice-Hall International, Inc., Englewood Cliffs, NJ, 284pp.
Haurwitz, B., 1940. The motion of atmospheric disturbances on the spherical earth. J. Marine Res., 3, 254–267.
Hinkelmann, K., 1951. Der Mechanismus des meteorologischen Lärmes. Tellus, 3, 285–296.
Hinkelmann, K., 1959. Ein numerisches Experiment mit den primitiven Gleichungen. Vol. Rossby Memorial Volume. Rockerfeller lnstitute Press, New York, NY, pp 486–500.
Holton, J.R., 1992. An Introduction to Dynamic Meteorology, 3rd edition. International Geophysics Series, vol. 48. Academic Press, San Diego. Chap. 7.
Huang, X.-Y. and P. Lynch, 1993. Diabatic digital filter initialization: Application to the HIRLAM model. Mon. Weather Rev., 121, 589–603.
Huang, X.-Y., Q. Xiao, D.M. Barker, X. Zhang, J. Michalakes, W. Huang, T. Henderson, J. Bray, Y. Chen, Z. Ma, J. Dudhia, Y. Guo, X. Zhang, D.-J. Won, H.-C. Lin and Y.-H. Kuo, 2009. Four-dimensional variational data assimilation for WRF: Formulation and preliminary results. Mon. Weather Rev., 137, 299–314.
Huang, X.-Y. and X. Yang, 2002. A New Implementation of Digital Filtering Initialization Schemes for HIRLAM. Technical Report 53, 36pp. Available from HIRLAM-5, c/o Per Undén, SMHI, S-60176 Norrköping, Sweden.
Kasahara, A., 1976. Normal modes of ultralong waves in the atmosphere. Mon. Weather Rev., 104, 669–690.
Leith, C.E., 1980. Nonlinear normal mode initialization and quasi-geostrophic theory. J. Atmos. Sci., 37, 958–968.
Lynch, P., 1997. The Dolph-Chebyshev window: A simple optimal filter. Mon. Weather Rev., 125, 655–660.
Lynch, P., 2006. The Emergence of Numerical Weather Prediction: Richardson’s Dream. Cambridge University Press, Cambridge, 279pp.
Lynch, P., D. Giard and V. Ivanovici, 1997. Improving the efficiency of a digital filtering scheme. Mon. Weather Rev., 125, 1976–1982.
Lynch, P. and X.-Y. Huang, 1992. Initialization of the HIRLAM model using a digital filter. Mon. Weather Rev., 120, 1019–1034.
Lynch, P., R. McGrath and A. McDonald, 1999. Digital Filter Initialization for HIRLAM. HIRLAM Technical Report 42, 22pp. Available from HIRLAM-5, c/o Per Undén, SMHI, S-60176 Norrköping, Sweden.
Machenhauer, B., 1977. On the dynamics of gravity oscillations in a shallow water model with applications to normal mode initialization. Beitr. Phys. Atmos., 50, 253–271.
McIntyre, M.E., 2003. Balanced Flow. Vol. Encyclopedia of Atmospheric Sciences, J.R. Holton, J. Pyle, and J.A. Curry (eds.), 6 vols, ISBN 0-12-227090-8. Academic Press, London.
Miyakoda, K. and R.W. Moyer, 1968. A method for initialization for dynamic weather forecasting. Tellus, 20, 115–128.
Oppenheim, A.V. and R.W. Schafer, 1989. Discrete-Time Signal Processing. Prentice-Hall International, Inc., Englewood Cliffs, NJ, 879pp.
Phillips, N.A., 1960. On the problem of initial data for the primitive equations. Tellus, 12, 121–126.
Phillips, N.A., 1973. Principles of Large Scale Numerical Weather Prediction. Vol. Dynamic Meteorology, P. Morel (ed.). D. Reidel, Dordrecht, pp 1–96.
Richardson, L.F., 1922. Weather Prediction by Numerical Process. Cambridge University Press, Cambridge, 236pp. Reprinted by Dover Publications, New York, 1965.
Rossby, C.G., 1939. Relations between variations in the intensity of the zonal circulation of the atmosphere and the displacements of the semipermanent centers of action. J. Marine Res., 2, 38–55.
Sasaki, Y., 1958. An objective method based on the variational method. J. Met. Soc. Jpn, 36, 77–88.
Wee, T.-K. and Y.-H. Kuo, 2004. Impact of a digital filter as a weak constraint in MM5 4DVAR: An observing system simulation experiment. Mon. Weather Rev., 132, 543–559.
Williamson, D. and C. Temperton, 1981. Normal mode initialization for a multilevel gridpoint model. Part II: Nonlinear aspects. Mon. Weather Rev., 109, 745–757.
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Lynch, P., Huang, XY. (2010). Initialization. In: Lahoz, W., Khattatov, B., Menard, R. (eds) Data Assimilation. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74703-1_9
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