Abstract
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 © 2005 John Wiley & Sons, Ltd.
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