A hierarchy of nonlinear multiparametric models of cloud dynamics and microphysics

Three one-dimensional models of pure water (warm) cloud, represented by systems of three, four and five nonlinear ordinary differential equations, respectively, are formulated. They are treated as nonlinear dynamical systems. In all of them, the microphysics is parameterized by Kessler's scheme...

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Bibliographic Details
Published in:Atmospheric research 2005-11, Vol.78 (1), p.93-102
Main Authors: Spassova, T., Nikolov, S.
Format: Article
Language:English
Subjects:
Cloud dynamics and microphysics
Cloud physics
Earth, ocean, space
Exact sciences and technology
External geophysics
Meteorology
Nonlinear dynamical systems
Regular and chaotic regimes
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Description
Summary:Three one-dimensional models of pure water (warm) cloud, represented by systems of three, four and five nonlinear ordinary differential equations, respectively, are formulated. They are treated as nonlinear dynamical systems. In all of them, the microphysics is parameterized by Kessler's scheme; the vertical dynamics is modeled by means of the equation of convective motion inside the cloud. The steady solutions for all models are sketched in Appendix A. The evolution of the systems' behaviour of the simplest model is studied. Depending on the parameters' values, the attractor is a fixed point or a limit cycle, or the system is structurally unstable. For some specific combinations of parameters, the system demonstrates chaotic behaviour and the transition to chaos is realized through period-doubling bifurcation. The detailed study of the more complex models, proposed here, is a future task.
ISSN:0169-8095
1873-2895
DOI:10.1016/j.atmosres.2005.02.006