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旋涡偶极子撞击翼型的数值模拟与理论分析

康林林1,高安康2,陈隆3,郝金晶1,吴江浩4   

  1. 1. 杭州市北京航空航天大学国际创新研究院(北京航空航天大学国际创新学院)
    2. 中国科学技术大学
    3. 北京航空航天大学
    4. 北京航空航天大学交通科学与工程学院
  • 收稿日期:2025-11-14 修回日期:2026-02-24 出版日期:2026-02-27 发布日期:2026-02-27
  • 通讯作者: 吴江浩
  • 基金资助:
    国家自然科学基金;国家自然科学基金;国家自然科学基金

Numerical Simulation and Theoretical Analysis of Vortex Dipole Impinging on an Airfoil

  • Received:2025-11-14 Revised:2026-02-24 Online:2026-02-27 Published:2026-02-27

摘要: 强烈的涡流阵风是引发飞行器控制失稳的关键因素之一。为探究其机理,本文采用直接数值模拟与冲量理论,系统分析了旋涡偶极子撞击零攻角NACA0012翼型的非定常流动特征和气动特性。研究发现,涡偶极子的中心线高度是决定翼型力与力矩特性的核心参数:当其与前缘齐平时,阻力达到最大;略高于前缘时,升力、力矩和推力出现峰值;随着高度进一步增加,涡-体相互作用衰减,气动扰动趋近于零。在不同高度下,其物理机制不同:1)齐平工况: 涡偶极子发生分裂,诱导出的二次涡与之结合形成新偶极子。该新结构通过自诱导运动再次与翼型作用,产生振荡型阻力。2)略高工况: 负号主涡与翼型直接相互作用,导致其变形、削弱并产生轨迹侧偏。该过程使推力呈现先峰后谷的变化,而升力与力矩则经历由小负值转为大正值的非对称演化。3)高间距工况: 偶极子运动路径几乎不受翼型存在的影响。基于冲量理论的分析进一步揭示了气动力与旋涡运动的内在关联:在发生碰撞时,主涡的涡冲量变化对力的贡献显著;而在无碰撞工况中,主涡冲量几乎保持恒定,而其诱导产生的次级旋涡的冲量变化率决定了翼型的受力。基于展向周期边界条件的准三维模拟表明,如果展向计算域超过一定的临界值,流动会出现强烈的三维效应,从而导致气动力与力矩系数的峰值被显著削弱。

关键词: 旋涡偶极子, 翼型, 涡相互作用, 冲量, 气动力

Abstract: Strong vortex gusts are one of the key factors causing aircraft control instability. To investigate the underlying mechanism, this paper employs direct numerical simulation and impulse theory to systematically analyze the unsteady flow characteristics and aerodynamic performance of a vortex dipole impinging on a NACA0012 airfoil at zero angle of attack. The study finds that the centerline height of the vortex dipole is the core parameter determining the airfoil's force and moment characteristics: the drag reaches its maximum when it is level with the leading edge; the lift, moment, and thrust peak when it is slightly above the leading edge; as the height increases further, the vortex-body interaction decays, and the aerodynamic disturbances approach zero. The physical mechanisms differ significantly across heights: 1) Level case: The vortex dipole splits, and the induced secondary vortices combine with it to form a new dipole. This new structure interacts with the airfoil again through self-induced motion, generating oscillatory drag. 2) Slightly high case: The negative-signed primary vortex interacts directly with the airfoil, causing its deformation, weakening, and trajectory deviation. This process leads the thrust to change from a peak to a trough, while the lift and moment undergo an asymmetric evolution from small negative values to large positive values. 3) High-spacing case: The dipole's motion path is almost unaffected by the presence of the airfoil. Analysis based on impulse theory further reveals the intrinsic relationship between aerodynamic forces and vortex motion: during collision, the change in the primary vortex's impulse dominates the force generation; in non-collision cases, the primary vortex impulse remains nearly constant, and the rate of change of impulse from the induced secondary vortices determines the airfoil's forces. Quasi-3D simulations with spanwise periodic boundary conditions reveal that an over-limit spanwise computational domain triggers strong 3D flow effects, causing remarkable attenuation of peak aerodynamic force and moment coefficients.

Key words: vortex dipole, airfoil, vortex interaction, impulse, aerodynamic force