保角变换方法计算带有分离的翼型绕流

The Calculation of Flow around Airfoil with Separation Using Conformal Mapping

本文绘出了一种计算带有分离翼型绕流的方法。先采用保角变换方法把翼面变成一个圆,然后对此圆绕流作计算。分离流的模型采用Jacob模型。翼面上分离点位置和分离区的压力分布通过迭代位流和边界层的方法求得。边界层的影响采用在翼面上布当量源的方法计及。在整个迭代计算中,反复采用快速傅氏变换(FFT),使迭代解很快得到收敛。

A new method is presented to calculate the flow around an airfoil with separation. The airfoil form is completely arbitrary and is transformed to a circle by conformal mapping technique. The model of separation flow, which was proposed by Jacob, is adopted here, and the position of se-paratfon point and the pressure on the airfoil are calculated by iteratively coupling potential flow and boundary layer. The boundary layers are simulated by modification of boundary condition. All iterative procedures converge rapidly because of using Fast Fourier Transform (FFT).