G. Barakos et D. Drikakis, An implicit unfactored method for unsteady turbulent compressible flows with moving boundaries, COMPUT FLU, 28(8), 1999, pp. 899-922
An implicit, unfactored solver for the simulation of unsteady turbulent flo
ws around moving solid bodies is presented. The method is applied to solve
the turbulence: transport equations in conjunction with the Navier-Stokes e
quations in a strong coupled fashion. A third-order accurate upwind scheme
is used for discretising the inviscid fluxes and Newton-type sub-iterations
are employed to obtain time-accurate solutions on a moving mesh. The flow
around an oscillating aerofoil is computed as a test problem and calculatio
ns are presented both for laminar and turbulent flows. Initially, laminar f
low calculations over an oscillating NACA 0012 aerofoil at various Mach num
bers were carried out in order to assess the accuracy of the method in the
prediction of the dynamic-stall vortex under laminar flow conditions. Furth
ermore, calculations were performed for quasi-steady and fully unsteady tur
bulent flows over the NACA 0015 aerofoil using various turbulence models at
different flow conditions corresponding to attached unsteady flow as well
as light- and deep-stall cases. It was found that the numerical results for
unsteady, turbulent flow calculations over an aerofoil depend strongly on
the turbulence model used. (C) 1999 Elsevier Science Ltd. All rights reserv
ed.