IMPROVEMENT OF WEAKLY COMPRESSIBLE SPH METHOD FOR TURBULENT FREE SURFACE FLOWS

抄録

 The Weakly Compressible Smoothed Particle Hydrodynamics (WCSPH) has been reformulated to simulate turbulent free-surface flows with high turbulence and large fluctution of the free surface. The commonly encountered stability problem associated with the particle method has been treated by the diffusion and dissipation terms that naturally arise in the particle-interpolated continuity and momentum equations rather than artficial damping terms. The effects of the solid boundaries have been incorporated by formulating the equations of motion separately from the particles away from solid boundaries by using the wall law similarities for turbulent flows over smooth and rough surfaces as well as laminar flow depending on the Reynolds number. The proposed method is compared with the existing SPH method and the experiment and the results are shown to agree with experiments without the stability problem.