The results presented here show the ability of fully coupled method to take into account the exact free surface conditions and to solve the kinematic condition near the hull in spite of the singularity of equations at free surface and hull intersection. However the finest grid size seems too coarse to compute well free surface elevation, pressure velocity field and especially turbulent quantities.
The continuation of this work will consist in perform calculation with finer mesh to obtain grid independency results (perhaps around 500 000 or 600 000 nodes). After this step it will be possible to consider the problem of turbulence modelisation and the influence of various schemes.
Short-dated study will concern comparisons between k-ε and k-ω turbulence model. Calculations on yawed hull and turning hull will be the long-dated work.
The authors express their thanks to the french Direction des Recherches et Etudes Techniques (DRET) of the Délégation Générale pour l'Armement (DGA) and the Institut du Développement et des Ressources en Informatiques Scientifique (IDRIS) of the CNRS which are supporting this work.
1. B.ALESSANDRINI, G.DELHOMMEAU, “Simulation of three-dimensional unsteady viscous free surface flow around a ship model”, International Journal for Numerical Methods in Fluids, vol 19, August 1994.
2. B.ALESSANDRINI, G.DELHOMMEAU, “Numerical calculation of three-dimensional viscous free surface flow around a Series 60 CB=0.6 ship model”, CFD WORKSHOP, Tokyo, March 1994.
3. I.CELIK, W.RODI, M.S.HOSSAIN, “Modelling of free surface proximity effects on turbulence”, Proc. Refined Modelling of Flows, Paris, 1982.
4. H.C.CHEN, W.L.LIN, K.M.WEEMS, “Interactive zonal approach for ship flows including viscous and nonlinear wave effects”, 6th international Conference on Numerical Ship Hydrodynamics, Iowa City, August 1993.
5. E.B.DUSSAN V, “On the spreading of liquids on solids surfaces: static and dynamic contact lines”, Ann. Rev. Fluid Mech., vol 11, 1979.
6. J.FARMER, L.MARTINELLI, A.JAMESON “Multigrid solutions of the Euler and Navier-Stokes equations for a series 60 Cb=0,6 ship hull for Froude numbers 0,160, 0,220 and 0,316”, CFD Workshop, Tokyo, March 1994.
7. W.P.JONES, B.E.LAUNDER, “The prediction of low Reynolds number phenomena with a two equation model of turbulence”, International Journal of Heat Mass Transfer, vol 16, 1972.
8. E.E.MARKOVITCH, “Effect of free surface tension on the free outflow of a wetting fluid from a horizontal tube”, Traduction of Mekhanika Zhidkosti i Gaza, No 2, March–April 1988.
9. Y.TAHARA, F.STERN, “A large domain approach for calculating ship boundary layers and wakes for nonzero Froude number”, CFD Workshop, Tokyo, March 1994.
10. Y.TODA, F.STERN, J.LONGO, “Mean-flow measurements in the boundary layer and wake and wave field of a Series 60 Cb=0,6 ship model for Froude numbers 0,16 and 0,316 ”, IIHR report No 352, August 1991.
11. Y.TODA, F.STERN, I.TANAKA, V.C.PATEL, “Mean-flow measurements in the boundary layer and wake and wave field of a Series 60 Cb= 0,6 ship model with and without propeller”, Journal of Ship Research, Vol 34, December 1990.
12. H.A.VORST, “Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymetric linear systems”, J. Sci. Stat. Comp. vol 13, 1992.