跨音速翼型设计的一种满足正则化条件的反设计方法

从不可压反问题的Lighthill准确解中可知,在反设计问题中翼面压强分布和自由来流速度两者不能同时独立地给定,这意味着对于给定的压强分布存在着一个约束条件(正则化条件)。对于可压缩流动,同样存在着类似的约束条件。本文给出了跨音速翼型设计的一种满足正则化条件的反设计方法。在此方法中,目标压强分布包含一个自由参数,在计算中可调整此参数使压强分布满足本文推出的正则化条件,文中给出的算例结果表明此方法是很有效的。

AN INVERSE METHOD WITH REGULARITY CONDITION FOR TRANSONIC AIRFOIL DESIGN

It is known from the Lighthill's exact solution of the incompressible inverse problem that in the inverse design problem the surface pressure distribution and the free stream speed can not both be prescribed independently. This implies the existence of a constraint (regularity condition) on the prescribed pressure distribution. The .same constraint exists at compressible speeds. In this paper, a well-posed inverse design method for transonic airfoil is presented. In the method, the target pressure distribution contains a free parameter that is adjusted during the computation to satisfy the regularity condition derived in this paper. A few design results are presented here in order to demonstrate the capability of the method.