A MODEL TO CALCULATE THE COVARIANCE OF HOMOGENEOUS ISOTROPIC STOCHASTIC FIELDS OF FORECAST ERRORS

E. G. Klimova

Application of the Kalman filtering theory to the problem of meteorological data assimilation for the present-day prognostic models is a difficult task because of the high order of arising covariance matrices. At the same time, the atmo¬spheric dynamics is described by the particular prognostic equations with the well-studied properties. The author proposes a simplified model for calculating the covariance matrices of homogeneous isotropic stochastic fields of forecast errors. For a local covariance of forecast errors between two specified points an analytical equation is obtained by analogy with the derivation of the equations for the structural functions in the turbulence theory. The developed model to calculate the covariance of homogeneous isotropic stochastic fields of forecast errors was used for numerical experiments.