Qualitative assessment of the complexity of the Karman vortex in the flow past double cylinders based on Shannon entropy

Abstract

Numerical simulations of flows past double cylinders under the conditions of different inlet velocities are carried out based on finite element methods. The phenomenon of Karman vortex is observed in the numerical study. Shannon entropy of the velocity field is calculated to quantify the complexity of the velocity field, and the time-evolution of the Shannon entropy data is analyzed by time series models of ARMA (autoregressive moving average) and GARCH (generalized autoregressive conditional heteroskedasticity).