摘要：This paper present two-dimensional numerical simulation of free surface flows by semi-implicit projection method. The semi-implicit schemes are studied with the purpose of introducing them into the GENSMAC method. The viscous terms are treated by Backward Implicit and Crank-Nicolson methods, and the non-linear convection terms are, explicitly, approximated by the high order upwind VONOS (Variable-Order Non-oscillatory Scheme) scheme. The boundary conditions for the pressure field at the free surface are treated implicitly, and for the velocity field explicitly. The numerical method is then applied to the simulation of free surface and confined flows, and the numerical results show that the present technique eliminates the stability restriction in the original explicit method.
其他摘要：This paper present two-dimensional numerical simulation of free surface flows by semi-implicit projection method. The semi-implicit schemes are studied with the purpose of introducing them into the GENSMAC method. The viscous terms are treated by Backward Implicit and Crank-Nicolson methods, and the non-linear convection terms are, explicitly, approximated by the high order upwind VONOS (Variable-Order Non-oscillatory Scheme) scheme. The boundary conditions for the pressure field at the free surface are treated implicitly, and for the velocity field explicitly. The numerical method is then applied to the simulation of free surface and confined flows, and the numerical results show that the present technique eliminates the stability restriction in the original explicit method.
