Direct Numerical Simulation for the Receptivity and the Whole Process ofTransition Around Joukowsky Airfoils

摘要

The two- and three-dimensional development of leading-edge receptivity andtransition in a 2-D Joukowsky airfoil boundary layer are investigated by direct numerical simulation (DNS) using the incompressible Navier-Stokes equations. The numerical investigation are based on the so-called spatial approach. A contravariant based governing system is derived so that we can simulate the receptivity and transition with complex geometries. The numerical results agreed very well with the experimental results for the flat plate case, and also agreed well with the result obtained by other researchers for the 2-D elliptic leading-edge receptivity case. Some new phenomena for the transition around Joukowsky airfoils were observed which at least qualitatively agree with physics.