Page 32 - Computational Fluid Dynamics for Engineers
P. 32

1.2  Prediction  of the  Maximum  Lift  Coefficient  of  Multielement  Wings  17



                                                              Limit  AC  Curve
                                                              1 No Roughness
                                                              2 With Roughness

                                                                   a=12°  C =1.19







                  2D
                  Analysis


                                                                      Predicted C LMAX
                                                                      (No Roughness)
                                                                   Predicted C LMAX
                                                                   (with Roughness)







                              a                                a
                                                        (
         Fig.  1.18.  Prediction  of  roughness  effects  on  wing-body CL) max  using  the  pressure  dif-
         ference  rule.



         mance  using  these  CFD  methods  is  still  a  challenge.  This  results  from  the
         increased  geometric  complexity  of  high-lift  configurations  with  deployed  slats
         and/or  flaps  and  the  need  to  model  all  the  relevant  features  of  a  very  com-
         plex  flow.  Mesh-generation  then  becomes  a  challenging  task,  even  when  an
         unstructured-grid  approach  is used,  and the  resulting  meshes can be  an order  of
         magnitude  larger  than  those  needed  to  accurately  predict  cruise  performance.
         To  model  realistic  flow  around  a  complete  Boeing  777-200  high-lift  configura-
         tion,  Rogers  et  al.  [12] employ  22.4  million  grid  points  using  overset  grids.  The
         prediction  of  maximum  lift  and  wing  stall  constitutes  a  challenge  even  for  a
         clean  wing  configuration,  as  massive  flow  separation  must  be  modelled.
            An  application  of  a Navier-Stokes  method  to the  investigation  of an  aircraft
         maximum  lift  is reported  in  [13]. The  NSU3D  [14] unstructured  Navier-Stokes
         solver  is used  for  the  study  (Chapter  12). It  uses  an  edge-based,  vertex-centred
         finite-volume  scheme  for  space  discretisation  and  a  multi-stage  Runge-Kutta
         technique  for  time  integration  with  point  or  line  pre-conditioning.  An  agglom-
         eration  multigrid  algorithm  is  implemented  for  convergence  acceleration.  Two
         turbulence  models  are  implemented:  the  Spalart-Allmaras  model  (Chapter  3)
   27   28   29   30   31   32   33   34   35   36   37