An ObJective Analysis Based on the Variational Method

Abstract

Based on a simple principle, a method of obtaining an objective analysis is considered. Techniques of the calculus of variations are employed. Using this principle, two cases are studied. Case I is based on the assumption of quasi-geostrophic and thermal wind conditions. Case II is based on conditions defined by non-divergence and the “balance equation” which correspond to an equivalent barotropic flow. The method is demonstrated by three simple examples.