Some Recent Developments in Planar Inviscid Transonic Airfoil Theory.
ADVISORY GROUP FOR AEROSPACE RESEARCH AND DEVELOPMENT PARIS (FRANCE)
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Some recent efforts to calculate planar inviscid supercritical flow over airfoils are reviewed giving typical results achieved. The hodograph procedures of Nieuwland and Boerstoel, and Garabedian and Korn are first reviewed whic yield shockless profiles. The unsteady finite difference procedure of Magnus and Yoshihara is then described, and its use then illustrated by several lifting examples with shocks. This is then followed by a description of two steady procedures. The first is that of Murman and Cole, who used a line relaxation procedure to solve a boundary value problem composed of the transonic perturbation equations with planar boundary conditions. The second is the procedure of Steger and Lomax who used the exact equations, and quasi-planar boundary conditions, and the finite difference relaxation procedure of Murman and Cole. The review is concluded by making a brief assessment of the various methods. Author
- Fluid Mechanics