Simulation of nonlinear wave interaction with dual cylinders in numerical wave tank

Abstract

A fully nonlinear numerical wave tank (NWT) is developed to investigate the interaction of waves and fixed dual cylinders accurately. The potential theory and the mixed Eulerian-Lagrangian (MEL) method are used to solve the time domain multi-boundary problem. The high order boundary element method (BEM) is applied to compute the boundary values in the Eulerian frame. The material node approach combined with the fourth order Runge-Kutta time integration is employed to update the boundary values in the Lagrangian frame. Boundary geometry and tangential derivatives of boundary values are obtained by the Non-Uniform Rational B-spline (NURBS) approximation. The time derivative of velocity potential is calculated by the acceleration potential formulation. Free surface elevation and hydrodynamic forces on the objects evaluated by the present numerical procedure are compared with other numerical simulations.