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Publisher: Co-Action Publishing
Journal: Tellus A
Languages: English
Types: Article
If the balance equation is solved for the stream function by conventional methods, the mass field has to satisfy a condition of ellipticity. In this paper we present a method to find a stream function when this condition is not satisfied. The method is an iterative method presented by Fjørtoft (1962). It is shown that if this method converges, it gives a solution where the residual of the balance equation is a minimum. The method is tried on a height analysis of 300 mb which contains rather large hyperbolic areas. The convergence of the method is very slow, and a solution using a conventional method is used as a first guess. From the solution found we find a height field in balance with this stream function by solving the balance equation for the height field. It is shown that this field is a better approximation to the original height field than an elliptic field found after correction by a standard method. The new height field does not satisfy the condition of ellipticity with respect to the balance equation.DOI: 10.1111/j.2153-3490.1977.tb00762.x
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    • Bolin, B. 1955. Numerical forecasting with a barotropic model. Tellus 7, 27-49.
    • Charney, J. 1955. The use of the primitive equations of motion in numerical weatherprediction.Tellus 7,22-26.
    • Fjortoft, R. 1962. A numerical method of solving certain partial differential equations of second order. Geophysica Noruegica 24.
    • Gremis, S. & Lystad, M. 1975. A four-layer balanced model operated Gt the Norwegian Meteorological Institute. Tech. Rep. No. 23.
    • Haltiner, G. J., Sasaki, Y. K. & Barker, E. H. 1975. A variational procedure for obtaining global balanced winds. CARP working group on numerical experimentation, Report No. 1 I , Jan. 1976.
    • Haug, 0. 1959. A method for numerical weather map analysis. The Norwegian Meteorological Institute. Sci. Rep. No. 5.
    • Lystad, M. 1976. A general balanced model for numerical weather prediction. The Norwegian Meteorological Institute.Techn. Rep. No. 28.
    • Miyakoda, K. 1960. Numerical solution of the balance Pedersen, K. & Grenskei, K. E. 1969. A method of equation. Collected Met. Papers 10, Nos. 1-2. Geo- initialization for dynamical weather forecasting and a physical Institute, Tokyo University. balanced model. Geophysical Norvegica 27, No. 7.
    • Paegle, J. & Paegle, J. N. 1975. On geopotential data Phillips, N. A. 1960. On the problem of initial data for and ellipticity of the balance equation. CARP working primitive equations. Tellus 12, 121-126. group on numerical experimentation. Report No. 11, Proceedings o f t h e JOC study group conference on fourJan. 1976. dimensional data assimilation. CARP Report No. 11, Palmen, E. 1948. On the distribution of temperature and Jan. 1976.
    • wind in the upper westerlies. J. Meteorol. 5, 20-27. Shuman, F. G. 1957. Numerical methods in weather Palmen, E. & Nagler, K. M. 1948. An analysis of the prediction: I. The balance equation. Mon. Weather wind and temperature distribution in the free atrnos- Rev. 85,357-361. phere over North America in the case of approximately westerly flow.J . Meteorol. 5, 58-64.
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