STRUCTURE CHARACTERS OF RAYLEIGH-BÉNARD CONVECTION AND ITS MULTIFRACTAL SPECTRUM

This paper introduces fractal and multifractal theory, as well as the application of the WTMM method to compute the multifractal spectrum. Then the multifractal spectrum of the 2-6-2 Cantor Set is analyzed theoretically and by the WTMM method, so that the physical significance of the multifractal spectrum is obtained. The temperature signals of Rayleigh-Bénard convection is analyzed using the WTMM method. It is found that the WTMM is a feasible method to analyze the multifractal spectrum. The multifractal structure of Rayleigh-Bénard convection change gradually from center to edge.