On the Relation Between Pressure and Wind, with Particular Reference to a Vortex¹

1 This research was started at the International Meteorological Institute in Stockholm, while the author was there. Part of the material is based on an unpublished manuscript, in which the late Prof. C.-G. Rossby was co-author.

Abstract

It is shown that if the boundary conditions to solve the vorticity and balance equations are prescribed independently, then the primitive equations of motion are not satisfied.

Given the wind field of a symmetrical vortex embedded in a resting atmosphere, analytical expressions for the pressure and wind tendency are derived. A numerical example is worked out and the results are used to obtain information regarding the effect of the boundary conditions and of the variation of the Coriolis parameter in a forecast with a barotropic model.

Notes

1 This research was started at the International Meteorological Institute in Stockholm, while the author was there. Part of the material is based on an unpublished manuscript, in which the late Prof. C.-G. Rossby was co-author.