Design optimization of a two-dimensional hydrofoil by applying a genetic algorithm

Abstract

In an effort to optimize river-flow training structures, a study is undertaken to explore the utility of genetic algorithms. The study includes the development of a numerical procedure for optimization of a two-dimensional hydrofoil; the optimization of shape is performed using a genetic algorithm. A formula utilizing two Bezier splines for the construction of the foil shape is introduced. The search for the optimal shape is translated to one of determining the coordinates of the vertex points of the two Bezier splines which control the upper and lower surfaces of the foil. A genetic algorithm is employed as an optimization tool. The methodology developed is applied to the determination of hydrofoil shapes under three different objective functions. The shapes produced by the genetic algorithm all yield good performance with high lift and low drag, which are the desirable characteristics for river-flow training structures.