Abstract
SUMMARY This paper deals with the calculation of free surface flow of viscous incompressible fluid around the hull of a boat moving with rectilinear motion. An original method used to avoid a large part of the theoretical problems connected with free surface boundary conditions in three-dimensional Navier‐Stokes‐ Reynolds equations is proposed here. The linearised system of convective equations for velocities, pressure and free surface elevation unknowns is discretised by finite differences and two methods to solve the fully coupled resulting matrix are presented here. The non-linear convergence of fully coupled algorithm is compared with the velocity‐pressure weakly coupled algorithm SIMPLER. Turbulence is taken into account through Reynolds decomposition and k ‐o or k ‐v model to close the equations. These two models are implemented without wall function and numerical calculations are performed up to the viscous sub-layer. Numerical results and comparisons with experiments are presented on the Series 60 CB0.60 ship model for a Reynolds number Rn 4.5 10 6 and a Froude number Fn 0.316. Copyright © 1999 John Wiley & Sons, Ltd.
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