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March 2010 A stochastic multicloud model for tropical convection
Boualem Khouider, Joseph Biello, Andrew J. Majda
Commun. Math. Sci. 8(1): 187-216 (March 2010).


A stochastic model for representing the missing variability in global climate models due to unresolved features of organized tropical convection is presented here. We use a Markov chain lattice model to represent small scale convective elements which interact with each other and with the large scale environmental variables through convective available potential energy (CAPE) and middle troposphere dryness. Each lattice site is either occupied by a cloud of a certain type (congestus, deep or stratiform) or it is a clear sky site. The lattice sites are assumed to be independent from each other so that a coarse-grained stochastic birth-death system, which can be evolved with a very low computational overhead, is obtained for the cloud area fractions alone. The stochastic multicloud model is then coupled to a simple tropical climate model consisting of a system of ODEs, mimicking the dynamics over a single GCM grid box. Physical intuition and observations are employed here to constrain the design of the models. Numerical simulations showcasing some of the dynamical features of the coupled model are presented below.


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Boualem Khouider. Joseph Biello. Andrew J. Majda. "A stochastic multicloud model for tropical convection." Commun. Math. Sci. 8 (1) 187 - 216, March 2010.


Published: March 2010
First available in Project Euclid: 23 February 2010

zbMATH: 1190.86003
MathSciNet: MR2655906

Primary: 65C05 , 65C20 , 65C40 , 65L05 , 76M35 , 76R99 , 86A10

Keywords: CAPE , climate modeling , clouds , convective parametrization , Markov chains , moisture , stochastic modeling , tropical convection

Rights: Copyright © 2010 International Press of Boston

Vol.8 • No. 1 • March 2010
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