A two-dimensional omega equation for the 1000-700 MB layer with diabatic heating.

Abstract

A two-dimensional omega equation is derived by combination of the vorticity and thermodynamic equations. The desired omega is then taken to be the logarithmic average in the 1000-700 mb layer. A diabatic term, after Laevastu, for oceanic areas only is included to deduce the empirical temperature and vapor-pressure changes associated with sensible and latent heating in the maritime layers. Over both continental and oceanic areas a frictional vorticity sink is included in order that excessive energy cannot be generated over the ocean. Among other novel features is the use of the Holl static-stability parameter which affords vertical consistency with analyses prepared by Fleet Numerical Weather Facility.