The authors would like to thank Dr. Ching-Yen Tsay for his helpful encouragement, support, and comments on this study. We would like also to thank the editor, Dr. Piotr Smolarkiewicz, and two anonymous reviewers for their valuable comments. This research was supported by Central Weather Bureau, Taipei, Taiwan, China, under Contracts CWB83-3M-01 and CWB84-3M-09 and by the NOAA Office of Global Programs via Grant NA36GP0314-01.
Baede, A. P. M., M. Jarraud, and U. Cubasch, 1979: Adiabatic formulation and organization of ECMWF spectral model. ECMWF Tech. Rep. 15, 40 pp.
Benwell, G. R. R., A. J. Gadd, J. F. Keers, M. S. Timpson, and P. W. White, 1971: The Bushby–Timpson 10-level model on a fine mesh. Meteor. Office Scientific Paper 32.
Bourke, W., 1974: A multi-level spectral model. Part I: Formulation and hemispheric integrations. Mon. Wea. Rev.,102, 687–701.
Browning, G., and H.-O. Kreiss, 1986: Scaling and computation of smooth atmospheric motions. Tellus,38A, 295–313.
Buzzi, A., and A. Speranza, 1983: Cyclogenesis in the lee of Alps. Mesoscale Meteorology—Theories, Observation and Models, K. Lilly and T. Gal-Chen, Eds., Vol. 1, NATO ASI Series, Reidel, 52–107.
Canuto, C., M. Y. Hussaini, A. Quarteroni, and T. A. Zang, 1987: Spectral Methods in Fluid Dynamics. Springer-Verlag, 557 pp.
Charney, J. G., 1962: Integration of the primitive and balance equation. Proc. Int. Symp. Numerical Weather Prediction, Tokyo, Japan, Meteor. Soc. of Japan, 130–152.
Chen, Q.-S., and Y.-H. Kuo, 1992a: A harmonic-sine series expansion and its application to the partitioning and reconstruction problem in a limited area. Mon. Wea. Rev.,120, 91–112.
——, and ——, 1992b: A consistency condition for the wind field reconstruction in a limited area and a harmonic-cosine series expansion. Mon. Wea. Rev.,120, 2653–2670.
——, and D. H. Bromwich, 1996: An isobaric geopotential height and its application to synoptic analysis and to a generalized ω-equation in σ-coordinates. 15th Conf. on Weather Analysis and Forecasting, Norfolk, VA, Amer. Meteor. Soc., 409–412.
——, Y.-H. Kuo, and D. H. Bromwich, 1996: A balanced ageostrophic initialization with an external wind lateral boundary value for limited-area models. J. Meteor. Soc. Japan,74, 325–342.
Chen, S.-J., and L. Lazic, 1990: Numerical case study of the Altai-Sayan lee cyclogenesis over east Asia. Meteor. Atmos. Phys.,42, 221–229.
Chen, X.-S., 1993: The aliased and the dealiased spectral models of the shallow-water equations. Mon. Wea. Rev.,121, 834–852.
Davies, H. C., 1976: A lateral boundary formulation for multi-level prediction models. Quart. J. Roy. Meteor. Soc.,102, 405–418.
Eliassen, E., B. Machenauer, and E. Rasmussen, 1970: On the numerical method for integration of the hydrodynamic equations with a spectral representation of the horizontal fields. Inst. of Theoretical Meteorology, University of Copenhagen Rep. 2, 35 pp.
Fulton, S. R., and W. H. Schubert, 1987a: Chebyshev spectral methods for limited-area models. Part I: Model problem analysis. Mon. Wea. Rev.,115, 1940–1953.
——, and ——, 1987b: Chebyshev spectral methods for limited-area models. Part II: Shallow water model. Mon. Wea. Rev.,115, 1954–1965.
Hack, J. J., and W. H. Schubert, 1981: Lateral boundary conditions for tropical cyclone models. Mon. Wea. Rev.,109, 1404–1420.
Haugen, J. E., and B. Machenhauer, 1993: A spectral limited-area model formulation with time-dependent boundary conditions applied to the shallow-water equations. Mon. Wea. Rev.,121, 2618–2630.
Hoskins, B. J., and A. J. Simmons, 1975: A multi-layer spectral model and the semi-implicit method. Quart. J. Roy. Meteor. Soc.,101, 637–655.
Juang, H.-M. H., and M. Kanamitsu, 1994: The NMC nested regional spectral model. Mon. Wea. Rev.,122, 3–33.
Kesel, P. G., and F. J. Winninghoff, 1972: The Fleet Numerical Weather Centre operational primitive equation model. Mon. Wea. Rev.,100, 300–373.
Kuo, H.-C., and R. T. Williams, 1992: Boundary effects in regional spectral methods. Mon. Wea. Rev.,120, 2986–2992.
Kuo, Y.-H., and S. Low-Nam, 1990: Prediction of nine explosive cyclones over the western Atlantic Ocean with a regional model. Mon. Wea. Rev.,118, 3–25.
Mesinger, F., and Z. Janjic, 1986: Numerical technique for representation of mountains. Observation, Theory and Modelling of Orographic Effects, Vol. 2, ECMWF, 29–80.
——, ——, S. Nickovic, D. Gavrilov, and D. G. Deaven, 1988: The step mountain coordinate: Model description and performance for cases of Alpine lee cyclogenesis and for a case of an Appalachian redevelopment. Mon. Wea. Rev.,116, 1493–1518.
Okamura, Y., 1975: Computational design of a limited-area prediction model. J. Meteor. Soc. Japan,53, 175–188.
Oliger, J., and A. Sundstrom, 1978: Theoretical and practical aspects of some initial-boundary value problems in fluid dynamics. SIAM J. Appl. Math.,35, 419–446.
Orszag, S. A., 1970: Transform method for calculation of vector coupled sum: Application to the spectral form of the vorticity equation. J. Atmos. Sci.,27, 890–895.
Palmen, E., and C. W. Newton, 1969: Atmospheric Circulation Systems, Academic Press, 419 pp.
Perkey, D. J., and C. W. Kreitzberg, 1976: A time-dependent lateral boundary scheme for limited-area primitive equation models. Mon. Wea. Rev.,104, 744–755.
Tatsumi, Y., 1986: A spectral limited area model with time-dependent lateral boundary conditions and its application to a multi-level primitive equation model. J. Meteor. Soc. Japan,64, 637–663.