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Wavelet spectra and chaos in thermal convection modelling
Author(s) -
Vecsey Luděk,
Matyska Ctirad
Publication year - 2001
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/2000gl011400
Subject(s) - wavelet , convection , rayleigh number , chaotic , natural convection , nonlinear system , thermal , mechanics , series (stratigraphy) , kinetic energy , physics , geophysics , meteorology , classical mechanics , geology , computer science , artificial intelligence , paleontology , quantum mechanics
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 convection with no inertial forces. Even for a low Rayleigh number (10 5 ) the convection is chaotic and the wavelet analysis of temperature, kinetic energy and surface heat flow time series demonstrates that wavelet spectra are able to yield an insight into the multiscale temporal dynamics of the convecting systems.