基于响应面法的跨声速翼型气动优化设计

基于响应面方法进行了跨声速翼型的气动优化设计。流场计算采用雷诺平均N-S方程。响应面模型采用二次多项式来构造，试验点的选取满足D优化准则。设计结果表明该方法只需通过较少流场计算就能对翼型的单个或多个设计点、在多约束条件下进行气动优化设计，设计质量较高，有较大的工程应用价值。

Optimum aerodynamic design of transonic airfoils based on response surface methodology

In this paper, the optimization design of the transonic airfoil is performed by the Response Surface Methodology(RSM). The flow solver is based on Reynolds-Averaged Navier-Stokes equations. The quadratic polynomials are employed to construct RS model and the set of candidate design points is selected to satisfy D-optimality. The design results indicate that RSM can be successfully applied to improve aerodynamic performance of a airfoil at single or multiple design-points, subject to specified constraints by less flow field computation cost, and will be very attractive for practical use because of its high design quality.