A Lagrangian Panel Method in the Time Domain for Moving Free-surface Potential Flows

Published in Int. J. of Computational Fluid Dynamics Vol. 16 (4), pp. 263-275, 2002
doi: 10.1080/1061856021000025148

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-linear restrictions over the related Ordinary Differential Equation (ODE) system and, in order to handle them, an alternative Steklov-Poincaré operator technique is proposed. The method is applied to sloshing like flow problems.