Abstract

AbstractA semi‐implicit numerical method for the three‐dimensional incompressible Navier–Stokes equations is presented. The method describes the velocity and the non‐hydrostatic pressure field and the free surface evolution in time. The governing equations are discretized by means of the finite volume method on a structured non‐uniform grid; for this reason both local and global mass conservation are guaranteed. Convective and diffusive fluxes on the control volume faces, as well as boundary conditions, are approximated by high‐order formulae. Copyright © 2006 John Wiley & Sons, Ltd.

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