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348                                 11.  Incompressible  Navier-Stokes  Equations



           5.0                                -0.3-
                                                       •  Exp
                                                         BB
           4.5                                           SA
                                              -0.4-      SST
                                                         DM
           4.01                               c m                 *
                                                                «  » •  •
                                              -0.5-
                                                             •
           3.51

                                              -0.6-
           3.0
                                                  *j/
           2.5           -i     r-            _n 7- 1 —i —   i   —i—   i   1  1  '
               4    8    12    16   20    24                 12   16    20   24
                             a                                  a
         (a)                                   (b)
                                                   6
         Fig.  11.11.  Results  for  geometry  B  at  Re  =  9  x  10 , variation  of  (a)  ci  and  (b)  c m  with


            5.0-

                    •  Exp
            4.5"       BB            / >
                       SA    •
                       SST
                       DM   •
            4.0H                    /yvv*
          c
          l
                               ifmi'f
            y.5-          •   if  ft
                                 i'  •
                           »  m
            3.0"



             0.00  0.02   0.04   0.06  0.08   0.1   Fig.  11.12.  Drag  polar  for  geometry
                           C                                      6
                            d                       B a t R e  =  9 x l 0 .

            The computing time utilized  by INS2D  varies somewhat  from  one  turbulence
         model  to  the  other.  The  BB  and  SA  models  have  a  single  differential  equation
         whereas  the  SST  and  DM  have  two  differential  equations.  The  SST  model  con-
         verges  best  when  10  line-relaxation  sweeps  are  used  during  one  iteration,  the
         others  work  best  when  only  2 sweeps  are  used.  Thus  the  SST  model  takes  more
         time  per  iteration.  Figure  11.13 shows the  maximum  residual  of the  mean  flow
         equations  versus  iteration  number  for  geometry  A  at  21°. There  are  numerous
         oscillations occurring  in the  residual.  These  are due to the  behavior  at  the  zonal
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