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Multi-element airfoil design by optimization

T.E. Labrujère

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Abstract

In this paper a method is presented for the design of multi-element airfoils in incompressible flow such that a priori specified aerodynamic and geometric requirements are fulfilled approximately. An object function is formed by summing the squared weighted deviations from the prescribed pressure distribution, zero normal velocity and geometric conditions. Minimizing the object function results in the simultaneous determination of the shape of the airfoil and the real pressure distribution.

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What this paper is about

In this paper a method is presented for the design of multi-element airfoils in incompressible flow such that a priori specified aerodynamic and geometric requirements are fulfilled approximately. An object function is formed by summing the squared weighted deviations from the prescribed pressure distribution, zero normal velocity and geometric conditions. Minimizing the object function results in the simultaneous determination of the shape of the airfoil and the real pressure distribution.

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Available abstract

In this paper a method is presented for the design of multi-element airfoils in incompressible flow such that a priori specified aerodynamic and geometric requirements are fulfilled approximately. An object function is formed by summing the squared weighted deviations from the prescribed pressure distribution, zero normal velocity and geometric conditions. Minimizing the object function results in the simultaneous determination of the shape of the airfoil and the real pressure distribution.

Key concepts: Airfoil, Aerodynamics, Mathematics, A priori and a posteriori, Object (grammar), Flow (mathematics), Function (biology), Mathematical analysis

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