基于适当控制翼型演化历程的气动设计方法

A new method based on the dynamic evolution of airfoil

本文提出一种翼型设计的新方法,它基于适当控制翼型演化历程,采用求解非定常流动控制方程的方法,实现了翼型反问题的高效求解。同时在笛卡尔坐标系中应用Level Set函数,避免了贴体动网格的采用,从而大大减少了所需计算工作量。

A new method for the inverse problem of the airfoil is presented in this paper. With this method based on the dynamic evolution of airfoil, the unsteady flow governing equations are solved; the solution to the inverse problem is come true with great efficiency and speed.In the inverse problem, the coming flow conditions and the distribution of the tangent velocity of the target airfoil are given; the airfoil geometry shape needs to be determined. The key of the new method is to present a moderate process of airfoil evolution. In the concrete, the evolutionary velocity of the airfoil is expressed by the transportation relationship of the velocity gradient on the surface step-by-step, and then the whole evolution of the airfoil is implemented. Here, the Level-Set approach, which captures the airfoil figures in time, is adopted instead of moving curvilinear coordinate.In this paper, two verifiable examples are carried out, which are the incompressible irrotational flows around the Joukowski airfoil and around the arc airfoil, respectively. As results, the new method for the inverse problem of the airfoil leads to the considerable decrease of the calculation and the great efficiency and speed, and reveals the high-performance and rationality.