A model for the horizontal exchange between ice-supersaturated regions and their surrounding area |
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Authors: | K. Gierens S. Brinkop |
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Affiliation: | Deutsches Zentrum für Luft- und Raumfahrt, Institut für Physik der Atmosph?re, Oberpfaffenhofen, We?ling, Germany, DE
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Abstract: | Summary A simple model is devised to simulate the turbulent exchange of humidity between ice-supersaturated regions in the upper troposphere and their subsaturated environment. The model works as a random version of a 2-dimensional cellular automaton, and does not contain dynamics nor microphysics. In spite of its simplicity the model helps to interpret certain stochastic properties of ice-supersaturated regions, namely the exponential distribution of the degree of supersaturation and the Weibull distribution of path-lengths through these regions. In particular, the exponential distribution of the degree of supersaturation evolves from permanent humidity exchange in spite of a rather peculiar initial distribution of supersaturation, that is, two Dirac delta functions. Such a robust feature is advantageous for future parameterisations of ISSRs for large-scale models. Received October 19, 2000 Revised June 25, 2001 |
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