In this paper, an unstructured hybrid grid method is discussed for its capa
bility to compute three-dimensional compressible viscous flows of complex g
eometry. A hybrid of prismatic and tetrahedral grids is used to accurately
resolve the wall boundary layers for high-Reynolds number viscous flows. Th
e Navier-Stokes equations for compressible flows are solved by a finite vol
ume, cell-vertex scheme. The LU-SGS implicit time integration method is use
d to reduce the computational time for very fine grids in boundary layer re
gions. Two kinds of one-equation turbulence models are evaluated here for t
heir accuracy. The method is applied to computations of transonic flows aro
und the ONERA M5 airplane and ONERA M6 wing, and supersonic shock/boundary
layer interacting flows inside a scramjet inlet to validate the accuracy an
d efficiency of the method. Copyright (C) 1999 John Wiley & Sons, Ltd.