A simulation of free surface waves for incompressible two-phase flows using a curvilinear level set formulation
A level set formulation in a generalized curvilinear coordinate is developed to simulate the free surface waves generated by moving bodies or the sloshing of fluid in a container. The Reynolds-averaged Navier-Stokes (RANS) equations are modified to account for variable density and viscosity in two-phase (i.e. water-air) fluid flow systems. A local level set method is used to update the level set function and a least square technique adopted to re-initialize it at each time step. To assess the developed algorithm and its versatility, a selection of different fluid-structure interaction problems are examined, i.e. an oscillating flow in a two-dimensional square tank, a breaking dam involving different density fluids, sloshing in a two-dimensional rectangular tank and a Wigley ship hull travelling in calm water. Copyright (c) 2005 John Wiley & Sons, Ltd.
sloshing level set method free surface flows artificial compressibility method broken dam ship waves