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Multi-Point Shape Optimization of Airfoils at Low Reynolds Numbers

D.N. Srinath1, Sanjay Mittal1, Veera Manek2
Dept. of Aerospace Engineering, IIT Kanpur, 208016, India
Summer Intern,Dept. of Aerospace Engineering, IIT Kanpur, 208016, India

Computer Modeling in Engineering & Sciences 2009, 51(2), 169-190. https://doi.org/10.3970/cmes.2009.051.169

Abstract

A continuous adjoint method is formulated and implemented for the multi-point shape optimization of airfoils at low Re. The airfoil shape is parametrized with a non-uniform rational B-Spline (NURBS). Optimization studies are carried out for two different objective functions. The first involves an inverse function on the lift coefficient over a range of Re. The objective is to determine a shape that results in a lift coefficient of 0.4 at three values of Re: 10, 100 and 500. The second objective involves a direct function on the lift coefficient over a range of angles of attack,a. The lift coefficient is maximized simultaneously fora= 4o, 8oand 12owhile the Re is held constant. The final shapes from both the cases are compared with those from the single-point optimization at each of the operating point. It is seen that the multi-point shapes are significantly different. They also have a better off-design performance than the geometries from single-point designs.

Keywords

airfoils, multi-point, shape optimization, adjoint methods, low Reynolds numbers, finite element

Cite This Article

Srinath, D., Mittal, S., Manek, V. (2009). Multi-Point Shape Optimization of Airfoils at Low Reynolds Numbers. CMES-Computer Modeling in Engineering & Sciences, 51(2), 169–190.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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