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2 2021

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Research on chaotic features of a flow field over a plunging airfoil based on dynamic mode decomposition

Qi Yuhang, Yang Wenqing, Wang Yue, Song Bifeng

Journal of Theoretical and Applied Mechanics

2021

Vol. 59 nr 2

293--305

Periodic motion of a plunging airfoil causes continuous changes in the surrounding flow field. The time-dependent thrust coefficient depends entirely on unsteady characteristics of the flow field. On the contrary, the time-dependent thrust coefficient may also reflect the unsteady characteristics of the corresponding flow field. With the fast Fourier transform (FFT) and dynamic mode decomposition (DMD), unsteady aerodynamic forces can be correlated with the flow field characteristics in the frequency domain. In the present paper, DMD is performed to analyze the unsteady characteristics of the flow field around a plunging NACA0012 airfoil at the Reynolds number of 20 000.

Dynamical study of Lyapunov exponents for Hide's coupled dynamo model

Alresheedi Teflah, Allahem Ali

Demonstratio Mathematica

2021

Vol. 54, nr 1

189--195

In this paper, we introduced the Lyapunov exponents (LEs)as a significant tool that is used to study the numerical solution behavior of the dynamical systems. Moreover, Hide’s coupled dynamo model presents a valuable dynamical study. We simulate the convergence of the LEs of the model in three cases by means of periodic flow, regular flow, and chaos flow. In addition, we compared these cases in logic connections and proved them in a mathematical way.