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Robert L. Mancuso

Abstract

A numerical procedure is described for computing a stream-function field from the vorticity of the horizontal wind field. The method was developed for use in meteorological studies which require analyses based solely on wind observations, or for use in the construction of balanced fields of winds and heights. The boundary of the net region is treated by specifying the gradients of the stream function normal to the boundary. The solution for the stream-function field is achieved relatively quickly by the iterative process known as the implicit alternating-direction method. The same procedure is also used to calculate a velocity-potential field from the divergence of the wind field. The computations are performed on a spherical net and have been tested on wind fields over both the United States and the Caribbean. The computed stream-function fields have been found to provide reliable and sufficiently accurate representations of the non-divergent wind field.

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Robert L. Mancuso, Roy M. Endlich, and L. J. Ehernberger

Abstract

An objective meteorological analysis technique has been developed to provide both horizontal and vertical (cross-sectional) upper air analyses. The horizontal analyses are made at grid points that lie on isobaric levels in a conventional manner. However, the interpolation of values other than temperature at a grid paint is performed on an isentropic surface that passes through the grid point. The vertical analyses are based on all surrounding radiosonde data and are not confined to a line of stations. They are calculated in an equivalent manner as the horizontal analyses, except that the grid points lie in a vertical plane.

The objective analyses have been evaluated by comparing the computer-generated results of two different versions (A and B) with subjective hand analysts. Comparisons for one test case are presented in this paper. The computer analyses show good agreement with the subjective analyses, and depict the baroclinic features of both the temperature and wind fields. In particular, the B version, which uses a second-order polynomial to interpolate grid-point values, gives very satisfactory results, producing cross-sectional analyses of stability and divergence that are compatible with the frontal surface.

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