Author(s)

J.Y. Huang

Abstract

Moving coordinates methods and applications to the oscillations of a falling slender body J. Y. Huang Oak Ridge National Laboratory, USA Abstract We study the dynamical system of interaction between a rigid body and a viscid flow in two-dimensional space. The moving coordinates methods which can facilitate numerical simulations are introduced. This technique is applied to a moving ellipse and the simulations clearly demonstrate the oscillations of a falling slender body in a viscid flow. This phenomenon which has been noticed for over a century is obtained without any phenom- enological model. 1 Introduction The general problem of the motion of a rigid body in an inviscid flow has been studied since Kelvin and Kirchhoff in the 19th century (see Lamb [1]) while a general method to handle a rigid body moving in a viscid flow is still unavailable. However, the viscosity is quite important in many cases. The Kutta-Joukowski Theorem states that the force exerted on a body is normal

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