Abstract
This paper presents simulated viscous flow fields with free-surface around two-dimensional floating bodies. As the governing equation, two-dimensional Navier-Stokes equations are adopted and calculated by a finite difference method on a body- and boundary-fitted coordinate system. The characteristics of such flows are the periodic oscillation of the free-surface in front of the body, the wave breaking phenomena Fn≥1.0 and so on. The calculated results simulate well the oscillation and the interactions between the free-surface and the viscous flow behind the body. A critical condition for the appearance of sub-breaking waves is applied to the simulated results to show its validity, although the critical condition is derived from the inviscid instability analysis.