MULTI-OBJECTIVE SHAPE DESIGN IN AERODYNAMICS USING GAME STRATEGY
Zhili Tang · Transaction of Nanjing University of Aeronautics and Astronautics · 2005
Multi-objective optimization for the optimum shape design is introduced in aerodynamics using the Game theory. Based on the control theory, the employed optimizer and the negative feedback are used to implement the constraints. All the constraints are satisfied implicitly and automatically in the design. Furthermore, the above methodology is combined with a formulation derived from the Game theory to treat multi-point airfoil optimization. Airfoil shapes are optimized according to various aerodynamics criteria. In the symmetric Nash game, each ”player” is responsible for one criterion, and the Nash equilibrium provides a solution to the multi-point optimization. Design results confirm the efficiency of the method.