Fractality in Idealized Simulations of Large-Scale Tropical Cloud Systems

Jun-Ichi Yano National Center for Atmospheric Research, Boulder, Colorado

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James C. McWilliams National Center for Atmospheric Research, Boulder, Colorado

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Mitchell W. Moncrieff National Center for Atmospheric Research, Boulder, Colorado

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Abstract

We simulate the generation of large-scale organized cloud systems with a simple dynamic model containing various cumulus parameterizations in a doubly periodic square domain with 20 700-km sides. The system is without rotation. Starting from a random initial condition, a fractal pattern of clouds is spontaneously generated using a grid-scale representation of cumulus evolution and mesoscale downdrafts. On the other hand, elementary representatives of three traditional types (Kuo, Arakawa-Schubert, and Betts–Miller) of cumulus parameterizations fail to produce fractality. Implications for the cumulus parameterizations arising from cloud fractality are also discussed.

Abstract

We simulate the generation of large-scale organized cloud systems with a simple dynamic model containing various cumulus parameterizations in a doubly periodic square domain with 20 700-km sides. The system is without rotation. Starting from a random initial condition, a fractal pattern of clouds is spontaneously generated using a grid-scale representation of cumulus evolution and mesoscale downdrafts. On the other hand, elementary representatives of three traditional types (Kuo, Arakawa-Schubert, and Betts–Miller) of cumulus parameterizations fail to produce fractality. Implications for the cumulus parameterizations arising from cloud fractality are also discussed.

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