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A new modelling framework for statistical cumulus dynamics

Plant, R. S. ORCID: (2012) A new modelling framework for statistical cumulus dynamics. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 307 (1962). pp. 1041-1060. ISSN 1471-2962

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To link to this item DOI: 10.1098/rsta.2011.0377


We propose a new modelling framework suitable for the description of atmospheric convective systems as a collection of distinct plumes. The literature contains many examples of models for collections of plumes in which strong simplifying assumptions are made, a diagnostic dependence of convection on the large-scale environment and the limit of many plumes often being imposed from the outset. Some recent studies have sought to remove one or the other of those assumptions. The proposed framework removes both, and is explicitly time-dependent and stochastic in its basic character. The statistical dynamics of the plume collection are defined through simple probabilistic rules applied at the level of individual plumes, and van Kampen's system size expansion is then used to construct the macroscopic limit of the microscopic model. Through suitable choices of the microscopic rules, the model is shown to encompass previous studies in the appropriate limits, and to allow their natural extensions beyond those limits.

Item Type:Article
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Meteorology
ID Code:22870
Uncontrolled Keywords:statistical cumulus dynamics, convective plumes, macroscopic limit, cumulus parameterization
Publisher:Royal Society


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