An airfoil geometry parameterization is introduced that uses the combination of the Class-Shape Transformation (CST) with orthogonal Chebyshev polynomials which allow extensibility to arbitrarily high dimensionality of the design space. The impact of this parameterization, as well as the effects of dimensionality, are explored using a genetic algorithm applied to two standard optimization cases based on the RAE 2822 and NACA 0012 airfoils. The use of the Chebyshev polynomials shows improvements over previous attempts with Legendre and Bernstein polynomials.
展开▼
