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        2.3 Optimization of Local Hull Lines (Level 2)

        Reynolds Average Navier-Stokes (RANS) equations with 2-turbulence model and linear free surface
        boundary condition, together with the differential numerical approach (Wang and Wan,  1991; Wang
        and Wang,  1994; Wang and Wang,  1995; and Wang and Wang,  1996) are applied to simulate flow
        around ship hull in time domain. The objective functions are the viscous resistance coefficient and the
        wave-making resistance coefficient, with the local hull lines being the optimization object.

        2.4 Optimization of Appendage Lines (Level 3)
        Partly-parabolic type  of  Navier-Stokes equations with  2-turbulence  model  by  use  of  differential
        numerical approach with the pressure marching or the finite-volume method (Wang and Cai, 1998; Li,
        Lin and Wang,  1997; Li, Lin and Wang,  1998) is used to simulate flow considering the interaction
        between  hull  and propeller.  The objective functions are the viscous resistance (coefficient) and the
        wake fraction and the optimized objects are local hull lines, appendage lines and propeller set.

        2.5 Optimization of Finalizing Hull Lines (Level 4)

        Model  test  is  employed  to  confirm the  optimization result.  In  fact  the  information both  for  the
        optimized model  and for the modification of tested model  can be  obtained from the computations
        based on Level 2 and 3.

        At  present the  relative accuracy of predicting resistance performance by  using CFD code can  be
        ensured, that  means  it  could  be  used  to  make  comparison  with  different models.  But  the  final
        prediction of hull resistance should be determined by use of model test. Up to now the CFD code can
        predict the resistance performance of ship hull with model size (Re =  106-7) and thus the model test
        can  be  camed  out  under  the  same  scale  of computational model.  The prediction  of  resistance
        performance for a ship with full scale (generally Re = lo8-’)  should consider the scale effects.
         Ship designers hope that the resistance performance  could be directly predicted by  a suitable CFD
        code, and hence the requirement of model test could be minimized. However this objective may only
        be partly achieved for some of series ships and for ships that have support from big relative database.
        For new ship form developing the model test is necessary and all of CFD’s results must be validated by
        model tests.


        3  APPLICATION

        DSMT tanker model as an example of optimization process is provided as follows. The optimization of
        Level 2 has been made after Level 0 and 1.

        3.1 Hull Lines Parameters
                                          TABLE 1
                                    THE PRINCIPAL PARAMETERS


                             5.5        3    I   0.009  I   0.8158
        The bow and stem have been modified based on the parent ship, and four hull lines schemes have been
        provided as follows:
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