OPTIMAL SHAPE DESIGNING OF A WING DRAG BY USING THE GENETIC ALGORITHM

In this article, the problem of determining the shape of a thin wing for minimum drag has been examined. In fact the problem is to find the optimal domain for the solution of a boundary value PDE, where the boundary conditions defined are over a domain. Accordingly, the above mentioned problem is considered as an optimal control problem. Therefore, to obtain the approximated solution of optimal control problem we used an iterative method for solvingthese problems in format of a combined algorithm which is taken from genetic algorithm and one of approximate methods to solve PDE’s. The computational results show that the given method is proficient for designing the approximate optimal shape.

Keywords:

Finite difference method , Genetic algorithm , Optimal control , Optimal shape design