Price, W.G. and Chen, Y.G.
A simulation of free surface waves for incompressible two-phase flows using a curvilinear level set formulation
International Journal for Numerical Methods in Fluids, 51, (3), . (doi:10.1002/fld.1126).
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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.
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