基于离散伴随方程的飞行器机动点气动优化设计研究

Aerodynamic optimization design of aircraft at maneuver points based on discrete adjoint equations

  • 摘要: 现代小展弦比高速飞行器需要具备良好的跨、超声速巡航特性以及机动性能,传统小展弦比高速飞行器气动优化设计主要关注跨、超声速的巡航升阻特性,针对机动性能开展优化的研究较少,设计结果往往难以满足工程实际。针对以上问题开展了基于迎风格式的离散伴随气动优化设计方法研究,结合FFD(free form deformation)参数化方法和SQP(sequential quadratic programming)优化算法构建了高精度梯度优化设计框架,并将其应用到小展弦比高速飞行器机翼跨、超声速的机动性能优化设计,评估了优化前后跨、超声速的巡航气动性能和过载特性。结果表明,优化后的飞行器法向过载在Ma = 0.9状态下增加约0.1 g,在Ma = 1.5状态下增加约0.27 g,飞行器在跨、超声速状态下的机动性能得到改善,同时巡航升阻特性基本保持,验证了该方法对复杂工程问题的适用性,可为工程实际应用提供指导。

     

    Abstract: Modern supersonic aircraft with low aspect ratio must achieve favorable subsonic and supersonic cruise efficiency and high maneuverability. However, conventional aerodynamic optimization has primarily focused on cruise lift-to-drag characteristics, with limited attention paid to maneuverability at high angles of attack, yielding designs that fail to satisfy practical engineering requirements. To address this gap, a discrete adjoint aerodynamic optimization design method based on an upwind scheme is developed. A high-fidelity adjoint-gradient optimization framework is established based on the free form deformation (FFD) method and the sequential quadratic programming (SQP) algorithm. This framework is applied to the maneuverability optimization of a low-aspect-ratio wing at high angles of attack under supersonic conditions, and the resulting configurations are evaluated for both cruise aerodynamic performance and overload characteristics across subsonic and supersonic flight regimes. The results indicate that the optimized configuration achieves an increase in normal overload of approximately 0.1 g at Ma = 0.9 and 0.27 g at Ma = 1.5. The maneuverability of the aircraft is improved under transonic and supersonic conditions, while the cruise lift-to-drag characteristics are essentially preserved. These findings demonstrate the applicability of the proposed method to complex engineering problems and provide valuable guidance for practical design applications.

     

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