Clebsch variable model for unsteady inviscid transonic flow with strong shock waves

Report (1993)

Authors

J. Westland

M.H.L. Hounjet

Shock waves Potential flow Transonic flow Inviscid flow Unsteady flow Aerodynamic coefficient Euler equation Three dimensional models Airfoil oscillations Clebsch equation Rankine-Hugoniot relation

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Published Date

04-08-1993

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NLR Technical Publication TP 93349 U

Abstract

In comparison with Euler methods unsteady inviscid transonic full potential methods are known to suffer from limitations with respect to the modeling of shock waves. In this paper unsteady 2D and 3D full potential methods are extended with the Clebsch variable model. This model represents exactly the shockgenerated entropy and vorticity. The feasibility of the method is demonstrated for 2D and 3D applications at an overhead of about 10% computational time. Steady and unsteady results of 2D calculations compare favorably with results obtained by Euler methods. In general, the unsteady pressure coefficient distributions in the shock wave trajectories are strongly affected by the improved model.

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