The compatible balancing approach to initialization, and four-dimensional data assimilation

Michael Ghil

doi:10.3402/tellusa.v32i3.10575

The compatible balancing approach to initialization, and four-dimensional data assimilation

Tellus

Volume 32 (1980): Issue 3

By: Michael Ghil

Open Access

|Jan 1980

Abstract

We present an attempt at a unified theoretical approach to both the four-dimensional assimilation of asynoptic data and the initialization problem. This approach relies on the derivation of certain relationships between geopotential tendencies and tendencies of the horizontal velocity field in primitive-equation models of atmospheric flow. The approach is worked out and analyzed in detail for some simple barotropic models. Certain independent results of numerical experiments for the time-continuous assimilation of real asynoptic meterological data into a complex, baroclinic weather prediction model are discussed in the context of the present approach. Tentative inferences are drawn for practical assimilation procedures.

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