GAs and Nash GAs Using a Fast Meshless Method for CFD Design

Solving CFD inverse problems dealing with complex aerodynamic configurations like multi-element airfoils remains a difficult and expensive procedure, which requires seamless interfacing between several softwares like computer-aided design (CAD) system, mesh generator, flow analyzer, and an optimizer. It is essential to ensure the mesh quality during the optimization procedure for maintaining an accurate design. A fast meshless method using second and fourth order artificial dissipations and dynamic clouds of points based on the Delaunay graph mapping strategy is introduced to solve inverse computational fluid dynamics problems. The purpose of this paper is to use genetic algorithms and Nash genetic algorithms for position reconstructions of oscillating airfoils. The main feature of this paper is a detailed investigation on inverse problems in aerodynamics using both flexibility and efficiency of the fast meshless method. Comparisons of prescribed and computed aerodynamics parameters are presented for position reconstruction problems in aerodynamic design using both the fast meshless method coupled with artificial dissipation and a finite volume method. Numerical results are presented to illustrate the potential of the fast meshless method coupled with artificial dissipation and evolutionary algorithms, to solve more complex optimization problems of industrial interest occurring in multidisciplinary design.

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