Proposed Inclusion of Time . Variation Terms, Observational and Theoretical, in Numerical Variational Objective Analysis

Abstract

The author's previous study on an objective analysis method (1958) is extended, by introducing terms of time variation and the dynamical equations which describe the time variation, for the purposes : 1) to filter and suppress unnecessary meteorological high frequency noises contained in the initial data and forecast fields and 2) to obtain the dynamically sound initial values for the areas or layers of lacking observation. The fundamental concept of the method is explained using the most simple examples of dynamical constraints; linear advection and linear diffusion.