A new mesh re-generation method for free surface flow analysis based on interface-tracking method

This paper presents a new mesh re-generation technique for free surface flow analysis based on the interface-tracking method. The incompressible Navier-Stokes equation based on the arbitrary Lagrangian-Eulerian description is used as the governing equation. The SUPG/PSPG formulation is employed for the finite element discretization. The coupled non-linear finite element equation systems are linearlized by the Newton-Raphson method. As numerical examples, the present method is applied to the sloshing problem, the broken-dam problem and the fountain flow problem in a rectangular tank. The efficiency of the present method is shown by these numerical results.