This article describes a 2D numerical wave tank that utilises stretched mappings in order to resolve accurately the moving free surface of a liquid. It is assumed that the flow is incompressible and inviscid. Numerical solutions of the governing nonlinear potential flow equations are obtained using a finite-difference time-stepping scheme on σ-transformed grids. Free and forced sloshing motions are simulated in a rectangular tank, and the results compare well with analytical and other numerical methods. It is concluded that the present potential flow model provides a simple way of simulating steep non-breaking waves, that may be readily extended to the prediction of 3D wave motions.

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