A nonlinear panel method in the time domain for seakeeping flow problems

Abstract

A Lagrangian-type panel method, in the time domain, is proposed for potential flows with a moving free surface. After a spatial semi-discretization, with a low-order scheme, the instantaneous velocity-potential and normal displacement on the moving free surface, are obtained by means of a time-marching scheme. The kinematic and dynamic boundary conditions, at the free surface, are non-lineal restrictions over the related Ordinary Differential Equation system and, for handle them, an alternative Steklov-Poincare operator technique is proposed. The method is applied to sloshing like flow problems.