Simulation of a Viscous Flow Around an Oscillating Cylinder at Low Keulegan-Carpenter Numbers

Abstract

A finite difference simulation method for a viscous flow around a circular cylinder sinusoidally oscillating at low Keulegan-Carpenter numbers is presented. Navier-Stokes equations in finite difference form are solved on a moving grid system, based on a time dependent coordinate transformation. Evolution with time of the flow structures induced by a circular cylinder performing sinusoidal oscillations in a fluid at rest, by means of stream lines, pressure contours and vortex shedding is studied in detail at Keulegan-Carpenter numbers, Kc = 9.4 and 14. The time dependent drag and lift are also explained.