Wavelet spectra and chaos in thermal convection modelling

Ludek Vecsey (1) & Ctirad Matyska (1)

(1) Department of Geophysics, Faculty of Mathematics and Physics, Charles University, Prague

Abstract

Thermal convection in planetary bodies represents a chaotic dynamical system,which can be mathematically described by a set of nonlinear equations.We have studied classical Boussinesq approximation of thermal convectionwith no inertial forces.Even for a low Rayleigh number (10^5) the convectionis chaotic and the wavelet analysis of temperature, kinetic energy and surface heat flowtime series demonstrates that wavelet spectra are able to yield an insight into the multiscale temporal dynamics of the convecting systems.

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Geophys. Res. Lett., 28(2), 395-398, 2001.