Shape Effects on Viscous Damping and Motion of Heaving Cylinders1

Abstract

Fluid viscosity is known to influence hydrodynamic forces on a floating body in motion, particularly when the motion amplitude is large and the body is of bluff shape. While traditionally these hydrodynamic force or force coefficients have been predicted by inviscidfluid theory, much recent advances had taken place in the inclusion of viscous effects. Sophisticated ReynoldsAveraged Navier–Stokes (RANS) software are increasingly popular. However, they are often too elaborate for a systematic study of various parameters, geometry or frequency, where many runs with extensive data grid generation are needed. The FreeSurface RandomVortex Method (FSRVM) developed at UC Berkeley in the early 2000 offers a middleground alternative, by which the viscousfluid motion can be modeled by allowing vorticity generation be either turned on or turned off. The heavily validated FSRVM methodology is applied in this paper to examine how the drafttobeam ratio and the shaping details of twodimensional cylinders can alter the added inertia and viscous damping properties. A collection of four shapes is studied, varying from rectangles with sharp bilge corners to a reversedcurvature wedge shape. For these shapes, basic hydrodynamic properties are examined, with the effects of viscosity considered. With the use of these hydrodynamic coefficients, the motion response of the cylinders in waves is also investigated. The sources of viscous damping are clarified.