An edge-based finite element method is presented for the simulation of
compressible turbulent flows on unstructured tetrahedral grids. A two
equation k-omega turbulence model is employed and the standard Galerk
in approach is used for spatial discretisation. Stabilisation of the r
esulting procedure is achieved by the addition of an appropriate diffu
sion. An explicit multistage time-stepping scheme is used to advance t
he solution in time to steady state. The performance of the algorithm
is demonstrated for the simulation of a high Reynolds number transonic
separated flow over a wing. (C) 1998 Elsevier Science B.V. All rights
reserved.