2005 年 71 巻 707 号 p. 1746-1753
The present study develops a new surface capturing method using the WENO scheme for numerical simulations of free surface flows. The present numerical method couples the incompressible Navier-Stokes equations with the VOF method. This surface capturing method eliminates need for special free surface tracking method, and can be easily extended to three-dimensional simulations of free surface flows. The present surface capturing method is applied to a solitary wave propagation problem. The moving free surface is accurately tracked. Present numerical results are. in good agreement with the previous theoretical, numerical and experimental results. The free surface is captured on several grid points although numerical diffusions occur around the discontinuity regions.