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Practical Design of Ships and Other Floating Structures                 413
       You-Sheng Wu, Wei-Cheng Cui and Guo-Jun Zhou (Eds)
       0 2001 Elsevier Science Ltd. All rights reserved



        SIMULATION OF VISCOUS FLOW OF MODERN SURFACE SHIPS
                         USING THE FINFLO RANS SOLVER


                                  Ting-Qiu Li,  Jerzy Matusiak

                          Ship Laboratory, Helsinki University of Technology
                          P.O.Box 4100(0takaari 4) FIN-02015 HUT, Finland



        ABSTRACT

        A  FINFLO  solver for simulation of a turbulent free-surface flow around  a modem  ship has been
        developed through resolving the RANS equations with the artificial compressibility that incorporates a
        treatment of the free-surface boundary conditions. Within a moving mesh system, a cell-centred finite-
        volume multigrid scheme and two turbulence models, the Baldwin-Lomax model and the Chien's low
        Reynolds number  k-E  model,  are  implemented. A  non-linear  free-surface boundary  condition is
        satisfied on the exact location of the surface. Test cases are three benchmarks recommended  by  the
        ITTC, the DTMB 5415 model, the KCS model and the HTC model, including the tanker model from
        the  industry.  The  convergence performance  and  the  effects  of  the  grid  size  on  the  waves  are
        investigated. The computational results are validated and they are in good correlation with the EFD
        data in terms of the free-surface waves and the total resistance coefficient.


        KEYWORDS

        Benchmark test  Viscous free-surface flow, Ships with a transom, FINFLO RANS solver, a moving
                    ~
       mesh.

        1  INTRODUCTION
        A FINFLO-SHIP RANS version for simulation of a turbulent free-surface flow around a modem ship
        in a numerical water tank has been developed by our CFD group at Helsinki University of Technology
       (HUT). The capability of a numerical scheme provides the possibility for a ship design using the CFD
       techniques. In our approach, the RANS equations with the artificial compressibility are resolved by a
       cell-centred finite-volume multigrid  scheme; an interface fitting method  is implemented in order to
       capture explicitly the interface between water and air, which results in an exactly non-linear kinematic
       free-surface boundary condition is easy to be resolved. As a result, a high accuracy can be achieved for
       the ship waves.  whereas approximately dynamic  free-surface  boundary  conditions are employed on
       this surface. The steady state computations are performed on two selected transom types: a dry or a
       partially  wetted  transom.  Our  approach  is  an  uncoupled  algorithm.  This  implies  that  all  three
       components of the velocities on the free surface are determined with the extrapolation.
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