Lagrangian Particle Method As Advanced Technology For Numerical Wave Flume

The particle method, which is a solver of the Navier-Stokes equation without using a computational grid, has excellent robustness in analyzing a violent water-surface change accompanied with a fragmentation and coalescence of water. Thus the particle method is an optimum tool for the analysis of the process of wave breaking and runup. Here are outlined the calculation fundamentals of the particle method. The state-of-the-art of the particle method is briefly introduced, including highly precise particle methods, by improving momentum conservation in discretization of governing equations and the new methods for control of pressure fluctuation. Finally, we show as prospective studies on the particle method a few of the significant issues for promoting the substantial contribution of the particle method to a numerical wave flume, which is the computer-aided resistive design tool of coastal structures against wave action.