EULER TRANSONIC SOLUTIONS OVER FINITE WINGS USING THE CLEBSCH DECOMPOSITION METHOD

The problem of steady three-dimensional Euler flow over finite wings h as been solved by the method, of Clebsch velocity decomposition. The v elocity field is decomposed into an irrotational and a rotational part . The Euler equations are then recast into an elliptic-like equation a nd several convection equations. This approach provides a generalizati on of the full potential formulation to rotational Euler physics by al lowing variations of convective quantities. Finite volume and finite d ifference schemes are used to derive numerical results. Different wing s at different flow conditions including a case with multiple shocks o ccurrence were tested to demonstrate the ability of the proposed metho d. Comparisons with available experimental data and results from exist ing code are presented.