An analytical representation of airfoils

An important part of the construction of an aircraft is the shape of the wings. Their aerodynamics involve numerous evaluations and simulations through fluid dynamics. The reduction of the evaluation times is achieved by a parametric function. This is represented by the ratio of two polynomials. This representation will be important in order to reduce computation time for artificial network applications. The number of parameters is reduced. The analytical shape of the wing section implies analytical expression for wing parameters: maximum thickness, maximum camber, maximum camber position, minimum thickness position, and so on. These characteristics have algebraic expressions that involve arithmetic operations. We have constructed a simple mathematical wing model. We replace the discrete wing shape with a continuous form, which is described by lacunary polynomials.