抄録
This paper discusses the boundary element method with use of new scheme and procedure applied to numerical simulation of non-linear water wave motions in a tank with wave maker. The methods based on the mixed Lagrangian-Eulerian scheme and direct differentiation procedure are verified its effectiveness with the motion of a solitary wave in a water tank with various configurations. Numerical results are compared with other existing solutions. Our solution procedure can be tracked large deformation of free surface caused by the mutual action between water wave and geometrical configuration of tank. The numerical simulations in the case of tank with gentle slope make clear difference on deformation process of breaking wave. The existence of similar phenomena to collision and fission which are well-known as the solutions of K-dV equation is pointed out through our numerical simulations on water wave over mound or trench and wave propagation in a steep slope tank.