Abstract: A method based on viscous/inviscid interactions is used to calculate the transonic flows over airfoils. The two-dimenstional inviscid region is computed by solving the Euler equations using LU-ADI algorithm. The boundary layer is solved by employing a standard two-dimension integral momentum and kinetic energy shape parameter equations, in conjunction with the inverse integral technique based on the velocity profiles of the separated turbulent boundary layer. The viscous/ inviscid interaction is achived using the surface transpiration velocity model. Transonic viscous/inviscid interacting flowsover airfoils with a small separated region are calculated and compared with the experimental data. The results in this paper show that this viscous/inviscid interaction method can provide more agreeable results as compared with experiments, and applied to analyze the separated flows over airfoils.

Key words: transonic flow, separated flow, viscous/nonviscous iteration