翼型和机翼阵风响应的数值模拟

采用有限体积法来数值求解非定常Euler和NS方程,并在非定常计算中通过引入"网格速度"来计入阵风的影响,实现了对刚性翼型和机翼阵风响应的有效数值模拟。首先采用该方法来对翼型攻角突然增大的阵风、陡边型阵风这两种典型阵风情况下的翼型气动力响应进行了计算,结果表明:计算结果与现有的一些理论结果都符合较好,与文献中计算结果也吻合,NS方程的计算结果与Euler方程计算结果在变化趋势上是一致的,但具体的数值有差别。最后针对攻角突然增大的阵风,对不同马赫数下不同展弦比平直机翼的阵风响应进行了数值模拟,得出的计算结果与文献中的计算结果一致。

Numerical simulation of gust response for airfoil and wing

By solving the unsteady Euler/Navier-Stokes(NS) equation with Finite Volume Method and incorporating the grid velocity to take account of the gust influence,the gust responses on a rigid airfoil and rectangular wings are effectively calculated.Firstly,after applying this method to simulate two typical 2D cases,i.e.,gust leading a step change in airfoil's incidence and the sharp-edged gust,it is shown in results that the calculated lift responses of the airfoil agree well with both the exact theoretical value and calculated value in reference.Also shown in these results is that the gust response calculated by NS equation is qualitatively as same as that calculated by Euler equation.Furthermore, according to the gust of step change in incidence,the responses of different aspect ratio rectangular wings in different Mach number flows are numerically simulated.It can be found that the calculated results of gust responses agree with the results presented in the reference.