A stochastic multicloud model for tropical convection

Boualem Khouider, Joseph Biello, Andrew J. Majda

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Pages (from-to)187-216
Number of pages30
JournalCommunications in Mathematical Sciences
Volume8
Issue number1
StatePublished - 2010

Fingerprint

Climate Models
Stochastic models
Convection
Stochastic Model
Climate models
Coupled Model
Lattice Model
Markov chain
Troposphere
Potential energy
Grid
Numerical Simulation
Markov processes
Energy
Computer simulation
Model
Observation
Design

Keywords

  • CAPE
  • Climate modeling
  • Clouds
  • Convective parametrization
  • Markov chains
  • Moisture
  • Stochastic modeling
  • Tropical convection

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Khouider, B., Biello, J., & Majda, A. J. (2010). A stochastic multicloud model for tropical convection. Communications in Mathematical Sciences, 8(1), 187-216.

A stochastic multicloud model for tropical convection. / Khouider, Boualem; Biello, Joseph; Majda, Andrew J.

In: Communications in Mathematical Sciences, Vol. 8, No. 1, 2010, p. 187-216.

Research output: Contribution to journalArticle

Khouider, B, Biello, J & Majda, AJ 2010, 'A stochastic multicloud model for tropical convection', Communications in Mathematical Sciences, vol. 8, no. 1, pp. 187-216.
Khouider, Boualem ; Biello, Joseph ; Majda, Andrew J. / A stochastic multicloud model for tropical convection. In: Communications in Mathematical Sciences. 2010 ; Vol. 8, No. 1. pp. 187-216.
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