Wave propagation in a fully nonlinear numerical wave tank: A desingularized method

Abstract

The problem of wave propagation in a fully nonlinear numerical wave tank is studied using desingularized boundary integral equation method coupled with mixed Eulerian-Lagrangian formulation. The present method is employed to solve the potential flow boundary value problem at each time step. The fourth-order predictor-corrector Adams-Bashforth-Moulton scheme is used for the time-stepping integration of the free surface boundary conditions. A damping layer near the end-wall of wave tank is added to absorb the outgoing waves with as little wave reflection back into the wave tank as possible. The saw-tooth instability is overcome via a five-point Chebyshev smoothing scheme. The model is applied to several wave propagations including solitary, irregular and random incident waves. © 2006 Elsevier Ltd. All rights reserved.