Effects of Planetary Wave Propagation and Finite Depth on the Predictability of Atmospheres.

Physics

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Scientific paper

Theoretical predictability of the atmosphere is limited in part by the rate at which small-scale observational errors in the initiation of a forecast grow both in amplitude and in length scale with increasing time. Processes of error growth are examined for the case of equivalent barotropic motion on a -plane. From direct numerical simulations and from statistical closure theory, it is seen that larger implies slower rate of error growth. Thus planetary wave propagation enhances predictability. Inclusion of a finite equivalent depth also enhances predictability. For values of and of the equivalent depth representative of Earth's atmosphere, a theoretical predictability time scale is increased fourfold over earlier calculations based on uniformly rotating, `rigid lid' models.

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