NUMERICAL-ANALYSIS OF BREAKING WAVES USING THE MOVING PARTICLE SEMIIMPLICIT METHOD

The numerical method used in this study is the moving particle semi-im plicit (MPS) method, which is based on particles and their interaction s. The particle number density is implicitly required to be constant t o satisfy incompressibility. A semi-implicit algorithm is used for two -dimensional incompressible non-viscous flow analysis. The particles w hose particle number densities are below a set point are considered as on the free surface. Grids are not necessary in any calculation steps . It is estimated that most of computation time is used in generation of the list of neighboring particles in a large problem. An algorithm to enhance the computation speed is proposed. The MPS method is applie d to numerical simulation of breaking waves on slopes. Two types of br eaking waves, plunging and spilling breakers, are observed in the calc ulation results. The breaker types are classified by using the minimum angular momentum at the wave front. The surf similarity parameter whi ch separates the types agrees well with references. Breaking waves are also calculated with a passively moving float which is modelled by pa rticles. Artificial friction due to the disturbed motion of particles causes errors in the flow velocity distribution which is shown in comp arison with the theoretical solution of a cnoidal wave. (C) 1998 John Wiley & Sons, Ltd.