耦合均衡论和隐式约束伴随方法的翼型气动多目标优化设计

Multi-objective Optimization of Aerodynamic Airfoil Design on Coupling Nash Game and Implicit Adjoint Method

通过耦合Nash竞争对策和伴随方法来研究气动多目标优化问题,其中对策论是描述现实世界中包含有矛盾、冲突、对抗、合作等诸因素的数学模型的数学理论与方法。将对策论的方法应用于互为冲突的多目标气动优化设计中,寻找各冲突目标之间的平衡解。计算结果表明:Nash均衡论可以很好地处理多目标优化问题,并且能自然地运用于并行环境。

This paper approaches the question of multi- objective optimization for optimum shape design in aerodynamics on coupling the Adjoint method with implicit constraint and Nash Game strategy. The Game theory is a mathematical tool to describe and solve the problems under the conflict. The main content of the modem Game theory is non- cooperative game. In this paper, the game theory is applied to solving a conflicting problem of multi- objective optimum in aer- odynamic design,in order to search a trade- off solution in these conflicting objectives. Finally, the design results suggest that this method is validated and efficient for aerodynamic shape optimization, furthermore, it can be used in distributed computing on multiple workstations.