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关于多目标气动优化设计中伴随方法与对策理论的耦合研究(英文)
引用本文:唐智礼,董军. 关于多目标气动优化设计中伴随方法与对策理论的耦合研究(英文)[J]. 中国航空学报, 2009, 22(1): 1-8. DOI: 10.1016/S1000-9361(08)60062-X
作者姓名:唐智礼  董军
作者单位:Tang Zhili(College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China);Dong Jun(Chinese Aerodynamic Research Institute on Aeronautics, Shenyang 110034, China) 
基金项目:National Natural Science Foundation of China (10872093)
摘    要:本文研究了多目标气动优化设计中伴随方法和对策理论的耦合问题,给出了伴随方法在每个对策策略中的具体应用和数值方法。在合作对策中伴随方法被并行地执行以共同得到Pareto阵面上的最优解;相反在Nash对策中伴随方法在Nash策略的最后被耦合起来以互相竞争的形式得到各自目标的最优解;而在Stackel-berg对策中伴随方法被分层耦合进领头人和跟随者的策略中以求解他们相互依赖的平衡解。文末的优化算例表明了本文耦合算法及其数值过程在求解多目标气动优化设计问题中的有效性。

收稿时间:2008-01-09

Couplings in Multi-criterion Aerodynamic Optimization Problems Using Adjoint Methods and Game Strategies
Tang Zhili a,Dong Jun b a College of Aerospace Engineering,Nanjing University of Aeronautics , Astronautics,Nanjing ,China b Chinese Aerodynamic Research Institute on Aeronautics,Shenyang ,China. Couplings in Multi-criterion Aerodynamic Optimization Problems Using Adjoint Methods and Game Strategies[J]. Chinese Journal of Aeronautics, 2009, 22(1): 1-8. DOI: 10.1016/S1000-9361(08)60062-X
Authors:Tang Zhili a  Dong Jun b a College of Aerospace Engineering  Nanjing University of Aeronautics    Astronautics  Nanjing   China b Chinese Aerodynamic Research Institute on Aeronautics  Shenyang   China
Affiliation:Tang Zhili a,Dong Jun b a College of Aerospace Engineering,Nanjing University of Aeronautics , Astronautics,Nanjing 210016,China b Chinese Aerodynamic Research Institute on Aeronautics,Shenyang 110034,China
Abstract:The tighten couplings of game strategies with adjoint methods for multi-criterion aerodynamic design optimization are ad-dressed. Its numerical implementation is also described in details. In cooperative game,adjoint methods are coupled in parallel to compute Pareto front collaboratively. Conversely in a Nash game,adjoint methods are coupled in each player's decision making to achieve Nash equilibrium competitively. In Stackelberg game,adjoint methods used by players are nested hierarchically through incomp...
Keywords:multi-criterion optimization  aerodynamics  adjoint methods  game strategies  Nash game  Stackelberg game  Pareto front
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