基于复变量的参数敏感性分析  

Analysis of Aerodynamic Parameters Sensitivity using Complex Variables

作　　者：王豪杰[1] 李杰[1] 龚志斌[1] 

机构地区：[1]西北工业大学航空学院,陕西西安710072

出　　处：《航空计算技术》2013年第1期28-31,共4页Aeronautical Computing Technique

基　　金：国家自然科学基金项目资助(10772148;90816027;11172240)

摘　　要：介绍了进行敏感度导数计算的有限差分法和复变量法。在原有流场求解程序的基础上,引入了复变量,实现了敏感度导数的自动计算。算例验证表明,差分法由于减消误差(subtractive cancellation error)的存在,其计算精度对扰动步长比较敏感,合适的扰动步长需经过多次尝试才能得到。而复变量方法虽然计算量大,但是由于没有引入减消误差,因而当扰动步长趋于足够小时其计算精度能够真正达到二阶精度。The finite difference methods and complex variables methods for calculating sensitivity deriva- tives are introduced. Complex variables are introduced into the original flow solver to automatically calcu- late the sensitivity derivatives. The results show that the precision of the finite difference methods is sensi- tive to the perturbation step due to the subtractive cancellation error and the appropriate perturbation step can be obtained only after several attempts. Even though the computational expense is more, because there＇s no subtractive cancellation error, the complex methods can really achieve two order precision if the perturbation step is small enough.

关 键 词：差分法 复变量法 敏感度导数 减消误差 

分 类 号：V211.3[航空宇航科学与技术—航空宇航推进理论与工程]