针对薄片多体气动力干扰问题,建立了相关的控制方程和湍流方程,分别采用二阶迎风格和全隐式方法进行空间离散和时间离散,建立了含碰撞响应的非结构动网格方法.利用耦合求解Navier-Stokes方程和刚体动力学方程,数值模拟了薄片多体沉降过程.数值模拟结果与试验记录的运动状态符合较好.对薄片多体沉降干扰非定常流场结构变化的分析和对其流动机理的研究结果显示,多体间的干扰不仅改变物体的运动姿态,而且促进分离.近距的初始相对位置下,薄片运动初期产生接触,提供了物体分离的反向冲量.薄片在干扰作用下滞空翻转并存在互斥的趋势,侧缘形成附着涡,伴随着物体运动发展脱落.
Abstract
For the aerodynamics of multi-plates interference,the control equation and turbulent equation were established,and the second-order upwind scheme and fully implicit method were respectively applied to discrete the space and the time.A collision method under unstructured dynamic grids was established by solving Navier-Stokes equations coupled with rigid body dynamics.The descent process of plates was numerically simulated.The simulation results are well consistent with the experiment results.The unsteady flow-field structures and mechanism of multi-plates ’interferential descent were anlyzed.The result shows that the interference among multi-plates influences their motion and accelerate the separation.The collision results in a reverse impulse to separate the plates at incipient motion under initial close locations.The plates present a repellent trend in fluttering and tumbling motion under the action of interferences.Vortex forms and sheds on the flank with the motion of objects.
关键词
非定常流动 /
非结构动网格 /
多体干扰 /
薄片
{{custom_keyword}} /
Key words
unsteady flow /
unstructured dynamic grid /
multi-body interference /
plate
{{custom_keyword}} /
{{custom_sec.title}}
{{custom_sec.title}}
{{custom_sec.content}}
参考文献
[1] 王巍,刘君,郭正.子母弹抛壳过程非定常流动的数值模拟.空气动力学学报,2006,24(3):285-288.WANG Wei,LIUJun,GUO Zheng.Numericalsimulationofreleasethecoverformcargoprojectile[J].ActaAerodynamicSinica,2006,24(3):285-288.(inChinese)
[2] SNYDER D O,KOUTSAVDIS E K,ANTTONEN JS R.Transonic store separation using unstructured CFD withdynamicmeshing,AIAA2003-3919[R].2003.
[3] 伍贻兆,田书玲,刘学强,等.基于非结构网格的非定常流数值模拟方法研究.空气动力学学报,2008,26(增刊):51-58.WU Yi-zhao,TIAN Shu-ling,LIU Xue-qiang,et al.Theunstructuredgrid methodsforunsteadyflowsimulation[J].ActaAerodynamicSinica,2008,26(sl):51-58.(inChinese)
[4] 阎超.计算流体力学方法及应用[M].北京:北京航空航天大学出版社,2006.YAN Chao.Computational fluid dynamic methods andapplications[M].Beijing:BeijingUniversityofAeronauticsandAstronauticsPress,2006.(inChinese)
[5] 刘君,白晓征,郭正.非结构动网格计算方法[M].长沙:国防科技大学出版社,2009.LIUJun,BAIXiao-zheng,GUOZheng.Unstructureddynamicgrids computational methods [M ].Changsha: NationalUniversityofDefenseTechnologyPress,2009.(inChinese)
[6] 范钦珊,陈建平.理论力学[M].北京:高等教育出版社,2010.FAN Qin-shan,CHEN Jian-ping.Theoretic mechanics[M].Beijing:HighEducationPress,2010.(inChinese)
[7] ANDERSENA,PESAVENTOU,WANGZJ.Unsteadyaerodynamicsofflutteringandtumblingplates[J].Fluid Mech,2005,541:65-69.
{{custom_fnGroup.title_cn}}
脚注
{{custom_fn.content}}
