基于非确定性的翼型鲁棒反设计方法

实际的翼型是在一个非确定性的状态范围内工作的,为此应用鲁棒控制理论建立了翼型的鲁棒气动反设计方法及数值求解过程,基本的优化器为基于伴随方程的位流优化方法。对守恒型位流方程应用高效AF 2格式求解,对非守恒型的伴随方程采用了旋转差分和高效AF 3格式,提高了梯度计算的精度和效率。优化算例表明:本文方法所得到的翼型在一个较宽的工作状态范围内都具有良好的性能。

Uncertainty Based Robust Airfoil Reconstruction in Aerodynamics

An uncertainty based robust control theory is introduced to perform robust aerodynamic reconstruction.The employed basic optimizer is the control theory based design methods.These methods need to solve the state equations as well as adjoint equations.Robust aerodynamic design can produce an airfoil which works better within the range of fly condition.This method makes the robust aerodynamic reconstruction methods superior to the traditional design methods,the later techniques always produce solutions that perform well at specified single design point but have poor off-design performance.Concerning the hyperbolic property of adjoint equations of the potential flow,the rotational difference scheme and AF3 implicit iteration approach are employed in adjoint equation solution to improve the accuracy of gradient evaluation and overcome the convergence difficulty.The optimization results illustrate that the robust airfoil reconstruction method and the potential optimization method in aerodynamic design are more(practical.)