Nonlinear Ship–Wave Interaction Model, Part 2: Ship Boundary Condition

Abstract

One of the main problems in modeling ship-wave hydrodynamics is solving for the forcing (pressure) at the ship boundary. With an arbitrary ship, singularities occur in evaluating the velocity potential and the velocities on the hull. Inaccuracies in the evaluation of the singular terms in the velocity potential result in discretization errors, numerical errors, and excessive computational costs. In this paper we present a new approach to evaluating the pressure on a ship: evaluating the pressure in the ship normal vector coordinate system. The main advantage of this approach is that p is a smooth function in the ship normal vector coordinate system, enabling us to obtain accurate results very efficiently (i.e., with much less CPU time) without encountering numerical difficulties arising from possible singularities.