Optimum Aerofoil Parameterization For
Aerodynamic Design
Author(s)
R. W. Derksen & T. Rogalsky
Abstract
The numerical search for the optimum shape of an aerofoil is of great interest for
aircraft and turbomachine designers. Unfortunately, this process is very
computationally intense and can require a large number of individual flow field
simulations resulting in very long CPU run times. One of the core issues that the
designer must deal with is how to describe the shape of the airfoil. Clearly, we
can not treat the profile on a point by point basis as the problem would have an
infinite number of degrees of freedom. Hence the typical practice is to resort to
using a series of curves, such as polynomials and Bezier curves, to describe the
profile. This typically reduces the number of degrees of freedom to a much
smaller, manageable number. The influence of the selection of the
parameterization on the optimization has received relatively little consideration
to date. We can anticipate that some parameterizations will be less suitable for
describing the profile shape and may result in slower convergence times.
Our paper will discuss a new airfoil parameterization, Bezier-PARSEC, that
was developed to extend and improve the typical Bezier parameterization found
in use. This parameterization was found to fit the known shape of a wide range
of existing airfoil profiles as well as resulting in accelerated convergence for
aerodynamic optimization using Differential Evolution. Our presentation will
present the development and details of the Bezier-PARSEC parameterization and
provide evidence that the parameterization is suitable and accelerates
convergence.
Keywords: aerodynamic optimization, airfoil parameterization, Bezier curves.
Keywords
aerodynamic optimization, airfoil parameterization, Bezier curves.
Related Book
Other papers in this volume
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