Determination of flutter derivatives for streamlined bodies by means of computational wind engineering

This paper proposes a method to determine the utter derivatives of 2-dimensional streamlined cylinders by means of a modied indicial approach adapted to a Navier-Stokes solver using an Arbitrary Lagrangian Eulerian formulation. The method relies on heave or pitch motion imposed to the section according to smoothed ramp time histories and on the computational evaluation of the transient forces arising on the obstacle. Hence, the indicial transfer function mapping the plate motion and the induced force in frequency domain is obtained. An application to a at plate of nite thickness and length is proposed. The steady viscous flow simulated around the motionless plate is compared with the well-known Blasius solution. The computed flutter derivatives are compared with the ones obtained from the Theodorsen function in the frame of the thin airfoil theory.