A Geometric Representation of Airfoil Based on Applied Parameters

Geometric representation of 2-D airfoil is a necessary procedure in the optimization and design of airfoils.The goal of representation is that more airfoils can be obtained by using less parameter.The characters and disadvantages of Hicks-Henne shape function method and PARSEC method are analyzed.A geometric representation of airfoil was proposed,which is deined by applied parameters-relative thickness,relative camber,etc.The method can represent the outline of airfoils;aerodynamic characters can be qualitatively analyzed through thickness,camber,etc.It was concluded by analyzing the least-square regression outcome of ive airfoils in the three geometric methods.The conclusion is that the residuals of applied geometric method distributes averagely and represents airfoils more accurately than the other two methods.