旋转弹体马格努斯效应数值模拟方法研究
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摘要
旋转的弹体通常会存在马格努斯效应,严重影响飞行稳定性和弹道轨迹。提出基于旋转壁面法的多对称面弹体旋转效应数值模拟方法,无需借助动网格和多参考系模型,仅需要将旋转速度附加壁面,即可使用定常方法模拟马格努斯效应;同时,使用SOCBT标准弹体模型对该方法进行验证分析。结果表明:计算值与试验值吻合较好;由于旋转引起的附面层堆积以及大攻角分离效应、激波的干扰,计算时附面层的网格节点要足够密,并且应该针对不同的攻角选择精度与效率兼顾的计算模型。
The Magnus effect heavily affects the flight stability and trajectory calculation of the spinning projectile.A simple method based on rotating wall technique to calculate the effect of a rotating projectile with several planes of symmetry has been developed.Instead of using the dynamic mesh or multi-reference frame model,this method adds the rotating velocity to the surface of the projectile,and the Magnus force and moment can be obtained with steady calculations.The SOCBT(secant-ogive-clinder with boat tail)configuration is used to testify the method.The calculation results are consistent with the experimental data in both static and rotating cases.Moreover,as the interference among the boundary layer,the separation flow at high angle of attack and the shock wave,enough gird nodes in boundary layer,as well as the calculating models,are needed to improve the precision of the Magnus effect simulation.
The Magnus effect heavily affects the flight stability and trajectory calculation of the spinning projectile.A simple method based on rotating wall technique to calculate the effect of a rotating projectile with several planes of symmetry has been developed.Instead of using the dynamic mesh or multi-reference frame model,this method adds the rotating velocity to the surface of the projectile,and the Magnus force and moment can be obtained with steady calculations.The SOCBT(secant-ogive-clinder with boat tail)configuration is used to testify the method.The calculation results are consistent with the experimental data in both static and rotating cases.Moreover,as the interference among the boundary layer,the separation flow at high angle of attack and the shock wave,enough gird nodes in boundary layer,as well as the calculating models,are needed to improve the precision of the Magnus effect simulation.
引文
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[12]雷娟棉,李田田,黄灿.高速旋转弹丸马格努斯效应数值研究[J].兵工学报,2013,34(6):718-725.Lei Juanmian,Li Tiantian,Huang Can.A numerical investigation of Magnus effect for high-speed spinning projectile[J].Acta Armamenyarii,2013,34(6):718-725.(in Chinese)
[13]马杰,陈志华,姜孝海.高速旋转条件下的弹丸气动特性研究[J].弹道学报,2015,27(2):1-6.Ma Jie,Chen Zhihua,Jiang Xiahai.Aerodynamic characteristics of a projectile with high spinning speeds[J].Journal of Ballistics,2015,27(2):1-6.(in Chinese)
[14]Onn S C,Su A,Wei C K,et al.Computational drag and Magnus force reduction for a transonic spinning projectile using passive porosity[J].Computer Methods on Applied Mechanics and Engineering,2001,190(46/47):6125-6139.
[15]Menter F,Egorov Y.The scale-adaptive simulation method for unsteady turbulent flow predictions.Part 1:theory and model description[J].Flow Turbulence and Combustion,2010,85(1):113-138.
[2]Zhao J,Hou Q,Jin H,et al.Discussion on improving Magnus effect of cylinder based on CFD[C]∥IEEE International Conference on Mechatronics and Automation.IEEE,2013:539-543.
[3]Cayzac R,Carette E,Denis P,et al.Magnus effect:physical origins and numerical prediction[J].Journal of Applied Mechanics,2011,78(5):748-760.
[4]Sturek W B,Kayser L D,Nietubicz C J,et al.Computations of Magnus effects for a yawed,spinning body of revolution[J].AIAA Journal,2012,16(7):687-692.
[5]Nietubicz C J,Sturek W B,Heavey K R.Computations of projectile Magnus effect at transonic velocities[J].AIAA Journal,2012,23(7):15.
[6]Muto M,Tsubokura M,Oshima N.Numerical visualization of boundary layer transition when negative Magnus effect occurs[J].Journal of Visualization,2012,15(3):261-268.
[7]Klatt D,Hruschka R,Leopold F.Numerical and experimental investigation of the Magnus effect in supersonic flows[C]∥AIAA Applied Aerodynamics Conference,2013.
[8]Silton S I.Navier-Stokes computations for a spinning projectile from subsonic to supersonic speeds[J].Journal of Spacecraft and Rockets,2005,42(2):223-231.
[9]Despirito J.CFD prediction of Magnus effects in subsonic to supersonic flow[R].AIAA-2008-0427,2008.
[10]陈东阳,Laith K A,芮筱亭,等.结构误差对旋转稳定弹丸气动特性影响的数值模拟[J].空气动力学学报,2014,32(5):705-711.Chen Dongyang,Laith K A,Rui Xiaoting,et al.Numerical simulation of a spinning stabilized projectile aerodynamic characteristics effected by structure errors[J].Acta Aerodynamica Sinica,2014,32(5):705-711.(in Chinese)
[11]刘周,谢立军,杨云军,等.弹丸旋转空气动力效应非定常数值模拟[J].航空学报,2016,37(5):1401-1410.Liu Zhou,Xie Lijun,Yang Yunjun,et al.Unsteady numerical simulation of aerodynamic effect of a spinning projectile[J].Acta Aeronautica et Astronautica Sinica,2016,37(5):1401-1410.(in Chinese)
[12]雷娟棉,李田田,黄灿.高速旋转弹丸马格努斯效应数值研究[J].兵工学报,2013,34(6):718-725.Lei Juanmian,Li Tiantian,Huang Can.A numerical investigation of Magnus effect for high-speed spinning projectile[J].Acta Armamenyarii,2013,34(6):718-725.(in Chinese)
[13]马杰,陈志华,姜孝海.高速旋转条件下的弹丸气动特性研究[J].弹道学报,2015,27(2):1-6.Ma Jie,Chen Zhihua,Jiang Xiahai.Aerodynamic characteristics of a projectile with high spinning speeds[J].Journal of Ballistics,2015,27(2):1-6.(in Chinese)
[14]Onn S C,Su A,Wei C K,et al.Computational drag and Magnus force reduction for a transonic spinning projectile using passive porosity[J].Computer Methods on Applied Mechanics and Engineering,2001,190(46/47):6125-6139.
[15]Menter F,Egorov Y.The scale-adaptive simulation method for unsteady turbulent flow predictions.Part 1:theory and model description[J].Flow Turbulence and Combustion,2010,85(1):113-138.