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An accurate and efficient finite-difference algorithm for non-hydrostatic free-surface flow with application to wave propagation
Stelling, G.S.; Zijlema, M. (2003). An accurate and efficient finite-difference algorithm for non-hydrostatic free-surface flow with application to wave propagation. Int. J. Numer. Methods Fluids 43(1): 1-23
In: International Journal for Numerical Methods in Fluids. Wiley Interscience: Chichester; New York. ISSN 0271-2091, more
Peer reviewed article  

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  • Stelling, G.S.
  • Zijlema, M.

Abstract
    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.

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