Computation of flow around wings based on the Euler equations

Author:

Rizzi Arthur,Eriksson Lars-Erik

Abstract

Inviscid transonic flows containing either strong shock waves or complex vortex structure call for the Euler equations as a realistic model. We present here a computational procedure, termed WINGA2, for solving the Euler equations for transonic flow around aircraft upon a 0–0 mesh generated by transfinite interpolation. An explicit time-marching finite-volume technique solves the flow equations and features a non-reflecting far-field boundary condition and an internal mechanism for temporal damping together with a model for artificial viscosity. The method's convergence to a steady state is studied, and results computed on the CYBER 205 vector processor are presented. The Euler equation model is found to predict the existence of a tip vortex created by flow separating from the downstream region of the tip of the ONERA M6 wing where the radius of curvature approaches zero.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference18 articles.

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2. Jameson, A. & Baker, T. J. 1984 Multigrid solution of the Euler equations for aircraft configurations. AIAA Paper 84–0093, New York .

3. Rizzi, A. 1982 Damped Euler-equation method to compute transonic flow around wing—body combinations.AIAA J. 20,1321–1328.

4. Koeck, C. & Neron, M. 1984 Computations of three-dimensional transonic inviscid flows on a wing by pseudo-unsteady resolution of the Euler equations. In 5th GAMM Conf. Proc. Numer. Meth. Fluid Mech. (ed. M. Pandolfi & R. Piva ).Vieweg.

5. Rizzi, A. W. 1981 Computation of rotational transonic flow. In Numerical Methods for the Computation of Inviscid Transonic Flow with Shocks, a GAMM Workshop (ed. A. W. Rizzi & H. Viviand ).Notes on Numerical Fluid Mechanics. Vieweg.

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