旋成面叶栅气动反命题的新解法(Ⅱ)

本文利用映象平面ξ－η的特点，将旋成面叶栅气动正命题的微分—积分解法与叶型修正的“喷气模型”结合，建立了一种适用于旋成面叶栅气动反命题的新解法。叶片表面给定的气动参数分布作为反命题的边界条件，在求解过程中直接得到满足。通过对一例实际透平叶型的计算验证了本文解法的可靠性和实用性。

MULTIVARIABLE AND MULTICONSTRAINT OPTIMIZATION FOR TRANSONIC AIRFOIL DESIGN

Abstract An efficient optimization design method for transonic airfoils is developed by coupling the direct search EXTREM optimization method to a reliable aerodynamic analysis method.The aerodynamic analysis method is based on combination of full potential and viscous boundary layer flow analysis including calculations of laminar and turbulent boundary layers,natural or fixed transition prediction and separation prediction.The drag coefficient at design Mach number is considered as objective function and a set of smooth shape functions are adapted to fitting the basic goemetry.By using the numerical optimization method,supercritical airfoils or conventional low speed airfoils can be modified to be transonic airfoils which have the lower drag coefficient at transonic speeds.The presented method is attractive for practical engineering application because of its quick convergence.