A desingularized Rankine source method for nonlinear wave–body interaction problems

• A free surface node points distribution scheme.
• A single point treatment for intersection points.
• A least square based smoothing algorithm.

A two-dimensional nonlinear wave–body interaction problem is solved by a desingularized integral method in combination with a mixed Euler–Lagrange method. A special treatment of the intersection point singularity is introduced by employing an optimal technique to smooth the wave elevation around the intersection point and the utilization of a free surface control point distribution. By this means the nonlinear boundary effects arising from body surface and free surface are taken into consideration in addition to the development of a free surface Rankine source distribution method. A Lagrangian formulation is applied to capture the time-dependent motion of the control points and source points to describe the body and free surface nonlinear boundary conditions. The validation of the proposed method is demonstrated by comparing findings with a selection of existing numerical and experimental data.