论 文

跨声速穿越的翼型变马赫数效应虚拟飞行仿真

  • 李广宁 ,
  • 雷坤鹏 ,
  • 安效民 ,
  • 徐敏 ,
  • 许勇
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  • 1.西北工业大学 航天学院,西安 710072
    2.西北工业大学 数学与统计学院,西安 710072
.E-mail: lgning@nwpu.edu.cn

收稿日期: 2024-06-26

  修回日期: 2024-06-27

  录用日期: 2024-06-28

  网络出版日期: 2024-07-31

基金资助

国家自然科学基金(12072278)

Numerical flight simulation of an airfoil with time varing Mach number effect acrossing transonic region

  • Guangning LI ,
  • Kunpeng LEI ,
  • Xiaomin AN ,
  • Min XU ,
  • Yong XU
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  • 1.School of Astronautics,Northwestern Polytechnical University,Xi’an  710072,China
    2.School of Mathematics and Statistics,Northwestern Polytechnical University,Xi’an  710072,China
E-mail: lgning@nwpu.edu.cn

Received date: 2024-06-26

  Revised date: 2024-06-27

  Accepted date: 2024-06-28

  Online published: 2024-07-31

Supported by

National Natural Science Foundation of China(12072278)

摘要

飞行器的空间位置、飞行速度、飞行姿态等都是随时间变化的,导致对其飞行过程进行模拟仿真非常困难,在跨声速穿越飞行阶段中面临的问题更加复杂。为探究飞行器在跨声速穿越过程中,时变马赫数效应引起的非定常绕流特性和影响机理,本文以NACA0012翼型为研究对象,采用动态嵌套网格的思想,对飞行器跨声速穿越过程中的时变马赫数效应问题进行数值虚拟飞行仿真,对翼型跨声速穿越飞行过程中的气动特性和压心等的变化规律和机理进行探讨。研究结果表明,跨声速穿越飞行过程中的气动特性非线性变化、气动压心位置的振荡特性与流场激波的位置、激波/附面层干扰、飞行速度与攻角参数等有关。对于定常模拟的穿越过程,升力系数和俯仰力矩系数随马赫数的增加呈现“两升两降”的趋势,随飞行攻角的增加,凹坑区域范围扩大;阻力系数在跨声速区出现阻力发散现象,随着攻角增加,对应的阻力发散马赫数减小;翼型气动压心在亚声速区基本稳定在x/c=0.246的位置,跨声速区的压心位置振荡幅度随攻角增加而减弱;超声速区的气动压心位置基本稳定在x/c=0.454的位置处。在非定常穿越过程中,气动特性的变化趋势与定常穿越非常类似,但跨声速区域的气动特性变化规律和气动压心振荡特性具有明显的加速度迟滞效应。飞行加速度越大,迟滞现象越明显;气动压心位置的振荡幅度随攻角和加速度的增加而减弱。本文研究结论可以为飞行器跨声速飞行控制系统设计、跨声速气弹稳定性和操纵性能评估等相关研究提供借鉴和参考。

本文引用格式

李广宁 , 雷坤鹏 , 安效民 , 徐敏 , 许勇 . 跨声速穿越的翼型变马赫数效应虚拟飞行仿真[J]. 航空学报, 2024 , 45(S1) : 730875 -730875 . DOI: 10.7527/S1000-6893.2024.30875

Abstract

The position, speed, as well as the attitude of the aircraft were continuerously in changing with time during the flight, which makes the flight simulation difficult and challenging, and the problems encountered in the flight of acrossing transonic region are more complicated. To explore the unsteady characteristics and influence mechanism caused by the time-varying Mach number effect during the transonic acrossing, the numerical flight simulation of NACA 0012 airfoil acrossing the transonic region was performed with the applications of the dynamic chimera mesh and the time-varing Mach number strategy, focusing on the changing characteristics and the mechanism of aerodynamic characteristics and the pressure center. The simulation results showed that, the nonlinear change of aerodynamic characteristics and the oscillation of the pressure center position were related to the position of the flow shock waves, the shock wave/boundary layer interaction, the flight speed varing and the angle of attack during the transonic acrossing flight. For the transonic acrossing with steady simulation, the curves of lift coefficients and pitching moment coefficients showed the trend of “two rises and two falls” with the increasing of Mach number, and the range of pits area in the curves expands with increase of the flight angle of attack. The drag coefficient diverged when approaching to the transonic region, and the corresponding diverging Mach number decreased with increase of the angle of attack. The airfoil pressure center is basically holding at the position of x/c=0.246 in the subsonic region, while the oscillation of the pressure center position decreased with increase of the angle of attack in the transonic region. and the pressure center position in the supersonic region is finally stable at the position of x/c=0.454. In the process of unsteady transonic acrossing simulation, the trend of aerodynamic characteristics changing is very similar to that of steady transonic acrossing process, but the change of aerodynamic characteristics and pressure center oscillation characteristics showed obviously the hysteresis effects due to the acceleration in the transonic acrossing process. The greater the flight acceleration, the more obvious the hysteresis, and the oscillation amplitude of the pressure center position weakened with increase of the angle of attack, as well as the increase of speed accelerations. The research conducted in the current paper can provide reference for the design of aircraft flight control system, the analysis of transonic aeroelastic stability and the evaluation of flight maneuverability, especially in transonic region.

参考文献

1 BENDIKSEN O O. Review of unsteady transonic aerodynamics: Theory and applications[J]. Progress in Aerospace Sciences201147(2): 135-167.
2 LIU Y L, ZHANG W W. Accuracy preserving limiter for the high-order finite volume method on unstructured grids[J]. Computers & Fluids2017149: 88-99.
3 YUAN R F, ZHONG C W, ZHANG H. An immersed-boundary method based on the gas kinetic BGK scheme for incompressible viscous flow[J]. Journal of Computational Physics2015296: 184-208.
4 SITARAMAN J, BAEDER J D. Field velocity approach and geometric conservation law for unsteady flow simulations[J]. AIAA Journal200644(9): 2084-2094.
5 HAN Z H, G?RTZ S. Alternative cokriging method for variable-fidelity surrogate modeling[J]. AIAA Journal201250(5): 1205-1210.
6 LIU J, SONG W P, HAN Z H, et al. Efficient aerodynamic shape optimization of transonic wings using a parallel infilling strategy and surrogate models[J]. Structural and Multidisciplinary Optimization201755(3): 925-943.
7 党铁红. NASA超临界翼型的发展[J]. 民用飞机设计与研究2005(2): 29-封三.
  DANG T H. Development of NASA supercritical airfoils [J]. Civil Aircraft Design & Research2005(2): 29-Inside Back Cover(in Chinese).
8 张伟伟, 高传强, 叶正寅. 复杂跨声速气动弹性现象及其机理分析[J]. 科学通报201863(12): 1095-1110.
  ZHANG W W, GAO C Q, YE Z Y. The complexity and mechanism of transonic aeroelastic problems[J]. Chinese Science Bulletin201863(12): 1095-1110 (in Chinese).
9 DOWELL E H, COX D, CURTISS H C, et al. A modern course in aeroelasticity[M]. New York: Kluwer Academic Pub, 2004.
10 SILVA W A, CHWALOWSKI P, PERRY B III. Evaluation of linear, inviscid, viscous, and reduced-order modelling aeroelastic solutions of the AGARD 445.6 wing using root locus analysis[J]. International Journal of Computational Fluid Dynamics201428(3-4): 122-139.
11 HE S, YANG Z C, GU Y S. Limit cycle oscillation behavior of transonic control surface buzz considering free-play nonlinearity[J]. Journal of Fluids and Structures201661: 431-449.
12 胡国才, 王允良, 刘书岩, 等. 飞机亚跨声速飞行操纵特性分析 [J]. 飞行力学201634(4): 5-9.
  HU G C, WANG Y L, LIU S Y, et al. Analysis of aircraft subsonic and transonic flight control characteristics [J]. Flight Dynamics201634(4): 5-9 (in Chinese).
13 ROOHANI H, SKEWS B W. The influence of acceleration and deceleration on shock wave movement on and around aerofoils in transonic flight[J]. Shock Waves200919(4): 297-305.
14 ROOHANI H, SKEWS B W. Unsteady aerodynamic effects experienced by aerofoils during acceleration and retardation[J]. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, 2008222(5): 631-636.
15 ROOHANI H, SKEWS B W. Effect of acceleration on shock-wave dynamics of aerofoils during transonic flight[C]∥Shock Waves. Berlin: Springer, 2009: 1401-1406.
16 庞川博, 蒋胜矩, 赵超. 基于数值虚拟飞行的自旋尾翼鸭式布局弹箭动态气动特性研究 [J]. 弹箭与制导学报202141(2): 101-110.
  PANG C B, JIANG S J, ZHAO C. Research on dynamic characteristics of canard missiles with a free-spinning tail using numerical virtual flight technology [J]. Journal of Projectiles, Rockets, Missiles and Guidance202141(2): 101-110 (in Chinese).
17 梁益铭, 李广宁, 徐敏. 基于机器学习的智能控制数值虚拟飞行方法[J]. 航空学报202344(17): 128098.
  LIANG Y M, LI G N, XU M. Method for numerical virtual flight with intelligent control based on machine learning[J]. Acta Aeronautica et Astronautica Sinica202344(17): 128098 (in Chinese).
18 黄宇, 阎超, 席柯, 等. 基于数值虚拟飞行技术的飞行器动态特性分析[J]. 航空学报201637(8): 2525-2538.
  HUANG Y, YAN C, XI K, et al. Analysis of flying vehicle’s dynamic characteristics based on numerical virtual flight technology[J]. Acta Aeronautica et Astronautica Sinica201637(8): 2525-2538 (in Chinese).
19 BENEK J, STEGER J, DOUGHERTY F C. A flexible grid embedding technique with application to the Euler equations[C]∥6th Computational Fluid Dynamics Conference Danvers. Reston: AIAA, 1983.
20 罗炯, 李志宏, 陈科, 等. 基于嵌套网格变几何轴对称进气道非定常数值模拟[J]. 航空学报202243(12): 627028.
  LUO J, LI Z H, CHEN K, et al. Unsteady numerical simulation of variable geometry axisymmetric inlet based on overset grid[J]. Acta Aeronautica et Astronautica Sinica202243(12): 627028 (in Chinese).
21 周伟. 基于嵌套网格的内埋物单侧投放影响研究 [J]. 飞行力学202341(5): 30-6+51.
  ZHOU W. Research on the influence of unilateral store separation from internal bay based on embedded grid [J]. Flight Dynamics202341(5): 30-6+51 (in Chinese).
22 严晓雪, 牛健平, 许云涛, 等. 基于多面体重叠网格的多体分离计算分析[J]. 气体物理20249(1): 36-44.
  YAN X X, NIU J P, XU Y T, et al. Numerical research on store separation based on polyhedral overset mesh[J]. Physics of Gases20249(1): 36-44 (in Chinese).
23 宋威, 艾邦成. 多体分离动力学研究进展[J]. 航空学报202243(9): 025950.
  SONG W, AI B C. Multibody separation dynamics: Review[J]. Acta Aeronautica et Astronautica Sinica202243(9): 025950 (in Chinese).
24 艾邦成, 宋威, 董垒, 等. 内埋武器机弹分离相容性研究进展综述 [J]. 航空学报202041(10): 023809.
  AI B C, SONG W, DONG L, et al. Review of aircraft-store separation compatibility of internal weapons [J]. Acta Aeronautica et Astronautica Sinica202041(10): 023809 (in Chinese).
25 MENTER F R. Two-equation eddy-viscosity turbulence models for engineering applications[J]. AIAA Journal199432(8): 1598-1605.
26 曾宇, 汪洪波, 孙明波, 等. SST湍流模型改进研究综述[J]. 航空学报202344(9): 027411.
  ZENG Y, WANG H B, SUN M B, et al. SST turbulence model improvements: Review[J]. Acta Aeronautica et Astronautica Sinica202344(9): 027411 (in Chinese).
27 李广宁. 三维N-S方程数值求解及S-A湍流模型应用研究[D]. 西安: 西北工业大学, 2006: 51-53.
  LI G N. Numerical solution of three-dimensional N-S equation and application of S-a turbulence model[D]. Xi’an: Northwestern Polytechnical University, 2006: 51-53 (in Chinese) .
28 李广宁. 全机实用外形绕流Navier-Stokes方程数值模拟及其软件开发研究 [D].西安:西北工业大学, 2010: 107-108.
  LI G N. Numerical simulation of Navier-Stokes equations for full-machine practical profile winding and its software development study[D]. Xi’an: Northwestern Polytechnical University, 2010: 107-108 (in Chinese).
29 邸洪亮, 陈亮. 高机动无人机机体结构疲劳寿命分析方法研究[J]. 航空科学技术202233(6): 41-45.
  DI H L, CHEN L. Study on fatigue life analysis method of high mobility UAV body structure[J]. Aeronautical Science & Technology202233(6): 41-45 (in Chinese).
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