The numerical method for computing stream function and velocity potential from observed wind field
A numerical procedure is illustrated for computing stream function and velocity potential fields from the vorticity and divergence of the horizontal wind field. A mixed type of boundary condition is suggested in the present work. The computations are performed with a number of existing methods and the method proposed in this study, on a spherical grid over the tropical belt (3.7SN-30N and 45E-105E) with observed wind field as basic input.
Horizontal wind fields are reconstructed from the computed fields of stream function and velocity potential and compared with the observed wind field. The results of both qualitative and quantitative intercomparison among the various methods show that the reconstructed total wind obtained by the method suggested in the present study is the best representation of the original observed wind.
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