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SUMMARYA numerical technique is presented for the approximation of vertical gradient of the non-hydrostatic pressure arising in the Reynolds-averaged Navier-Stokes equations for simulating non-hydrostatic freesurface ows. It is based on the Keller-box method that take into account the e ect of non-hydrostatic pressure with a very small number of vertical grid points. As a result, the proposed technique is capable of simulating relatively short wave propagation, where both frequency dispersion and non-linear e ects play an important role, in an accurate and e cient manner. Numerical examples are provided to illustrate this; accurate wave characteristics are already achieved with only two layers.

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