An accurate and efficient finite‐difference algorithm for non‐hydrostatic free‐surface flow with application to wave propagation

A 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 free-surface flows. It is based on the Keller-box method that take into account the effect 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 effects play an important role, in an accurate and efficient manner. Numerical examples are provided to illustrate this; accurate wave characteristics are already achieved with only two layers. Copyright © 2003 John Wiley & Sons, Ltd.

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