Abstract
The objective of this paper is to test the effectiveness of the mathematical approaches in analyzing the physical property of the computational results of the complicated fluid fields. Estimation of the approximate generalized dimension of attractors reconstructed from the time series data and the wavelet analyses and so on are considered. The model adopted in this paper is the nonlinear phenomena of instability in the mixing process of two parallel streams in a mildly curved duct. Harten type second order TVD(Total Variation Diminishing)scheme and DD-ADI efficient implicit scheme are applied. The difference of the unsteady structure between two types of configuration, the stabilizing one and the destabilizing one, were clearly analyzed by using some mathematical approaches quantitatively and qualitatively.
