A BEM for the Propagation of Nonlinear Planar Free-surface Waves

A Boundary Element Method (BEM) model for the propagation of non- linear free-surface waves is described and its application to the study of the hydrodynamic characteristics associated with the roll-motion of 2-D hull sec- tions is presented. The roll-motion of the hull section is modeled as a mixed boundary value problem and solved using a higher-order (linear strength dis- tribution) BEM coupled with a Mixed-Eulerian-Lagrangian (MEL) scheme for the time-dependent free-surface boundary conditions. Applications, that in- clude the propagation of fifth-order Stokes waves and waves generated by a piston wave-maker, used to validate the BEM scheme prior to its application to the hull roll-motion are also described