On the Balance, Initialization and Data Assimilation in Primitive Equation Prediction Models

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Abstract
A numerical multi-level model governed by linearized equations is considered, and the eigensolutions for the gravity oscillations are computed. An expansion of the initial values in terms of the eigensolutions is shown to give useful information regarding the suppression of noise in weather prediction models, and the relation between the initial values and the meteorologically significant results of the integrations. Applications to the problem of data initialization and assimilation are discussed.