Abstract
This paper presents a stabilized finite element method for the non-linear free surface flows with an arbitrary shape of wall and an outflow boundary.The incompressible Navier-Stokes equation based on arbitrary Lagrangian-Eulerian description is used as the governing equation. The SUPG/PSPG formulation is employed for the finite element discretization.The outflow boundary condition and the parallel computing method are also introduced to compute the large-scale free surface flow with an outflow boundary.As numerical examples, the present method is applied to the sloshing problem in a rectangular tank, a trapezoidal tank and the open channel flow of the meandering waterway.The efficiency of the present method is shown by numerical results.
