Pages 13-20
Three-dimensional finite volume method using a moving grid system is presented for solving the incompressible viscous flows with a free surface. A new technique is developed for the implementation of the nonlinear free surface conditions. In the time-marching solution procedure, the grid points on the free surface are moved in the direction normal to the surface by using the volume flux vector across the temporary cell face. This method holds the conservative properties even in the cells adjacent to the free surface and it allows the moving grids to represent the three-dimensional arbitrary deformation of the free surface without any rearrangement of grid points. Numerical experiments of the collision of the two solitary waves traveling in opposite directions are made to demonstrate the validity of this method. The two waves emerge almost unchanged in profile after their interaction of brief duration. The present method is also applied to the three-dimensional viscous flows about a circular cylinder vertically piercing a free surface. The computed results show the strong interaction of the vortical flows with the free surface waves.
