基于基因算法与博奕论的翼型跨音速Euler方程气动优化  

Transonic Euler Equation Airfoil Aerodynamic Optimization Based on Genetic Algorithms and Game Theory

作　　者：王江峰[1] Periaux Jacques 伍贻兆[1] 

机构地区：[1]南京航空航天大学航空宇航学院,南京210016 [2]达索飞机公司科技中心,法国巴黎92150

出　　处：《南京航空航天大学学报》2001年第6期531-536,共6页Journal of Nanjing University of Aeronautics & Astronautics

摘　　要：将基因算法与博奕论中的 Nash平衡相结合 ,构建了多目标基因优化算法—— Nash基因算法 (NashGAs) ,并对初始翼型为 NACA0 0 1 2二维翼型进行给定跨音速流动下的形状增升优化。计算中应用 Bézier曲线对翼型形状进行参数化 ,避免了非流线型的不合理形状产生 ;采用有限元非结构网格 AUSM+通量分裂格式Euler方程数值解进行个体适应度值评估 ;应用动态网格技术调整计算网络 ,节约了 CPU机时 ;The multi objective optimization algorithm--Nash genetic algorithm (Nash GA) is constituted based on combination of genetic algorithm and Nash game (one branch in Game theory) for transonic aerodynamic shape lift optimization of a NACA0012 based airfoil. GAs could get the global optimal solution by selecting appropriately the genetic operators. The shapes of airfoil are parameterized by Bézier spline to avoid the generation of non aerodynamic airfoil. The transonic Euler equations are numerically solved using AUSM+ flux splitting scheme on unstructured grids for the evaluations of individual fitness. The dynamic mesh adaptation technique is introduced to save the CPU time. Finally the optimized results are presented.

关 键 词：Nash基因算法 博奕论 气动优化 有限元方法 EULER方程 跨音速流动 翼型 操作算子 升力系数 

分 类 号：V211.41[航空宇航科学与技术—航空宇航推进理论与工程]