伴随方法单次优化循环计算量与设计变量数目基本无关,多设计变量时计算成本低.本文采用伴随方法发展了多级叶轮机三维黏性气动形状优化方法,包括伴随方程及其边界条件、目标函数与设计变量的敏感性关系.结合基于Hicks-Henne函数的三维叶片参数化方法和最速下降法建立了气动形状优化设计系统.针对1.5级压气机第二排叶片的反设计验证了该优化系统的有效性;以进、出口熵增为目标函数改型设计某1.5级超音压气机,改型后气动性能明显提升.
The computational amount of the adjoint method is almost changeless with increase of the number of design variables.Blade aerodynamic shape optimization method for multistage turbomachinery with three dimensional thin layer viscous model was developed by using the adjoint method.It includes the derivation of adjoint equation and its boundary conditions,the sensitivity relationship between the objective function and the design variables.A corresponding aerodynamic shape optimization system was established by combining three dimensional blades parametric method based on Hicks-Henne function with the steepest descent method.The effectiveness of the system was verified by inverse-designed blades of the second row of a 1.5 stage compressor.Then another 1.5 stage supersonic compressor is redesign with entropy as the objective function,its aerodynamic performance was improved.
参考文献
| [1] | Michael B. Giles;Niles A. Pierce .An Introduction to the Adjoint Approach to Design[J].Flow, turbulence and combustion,2000(3/4):393-415. |
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