超声速流场中6自由度物体运动的模拟研究

李涛; 随晶侠; 吴锤结

doi:10.3879/j.issn.1000-0887.2016.01.003

超声速流场中6自由度物体运动的模拟研究

doi: 10.3879/j.issn.1000-0887.2016.01.003

¹大连理工大学航空航天学院, 辽宁大连 116024;²大连理工大学能源与动力学院, 辽宁大连 116024

基金项目: 国家自然科学基金(11372068)；国家重点基础研究发展计划(973计划)(2014CB744104)

详细信息

作者简介:
李涛(1987—)，男，博士生(E-mail: litao_sysu@qq.com);吴锤结(1955—)，男，教授(通讯作者. E-mail: cjwudut@dlut.edu.cn).

中图分类号: O368;O354.3
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- 文章访问数: 1186
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- 被引次数: 0
出版历程
- 收稿日期: 2015-10-29
- 修回日期: 2015-11-20
- 刊出日期: 2016-01-16

Simulation of 6-DOF Rigid Bodies Moving in Supersonic Flow

¹School of Aeronautics and Astronautics, Dalian University of Technology, Dalian, Liaoling 116024, P.R.China;²School of Energy and Power Engineering, Dalian University of Technology, Dalian, Liaoling 116024, P.R.China

Funds: The National Natural Science Foundation of China(11372068); The National Basic Research Program of China(973 Program)(2014CB744104)

摘要

摘要: 物体在流场中自由运动的模拟有很广泛的应用，文章描述计算6自由度（6DOF）刚体在超声速流场中自由运动的一种方法.流体部分求解LES方程，亚网格模型为拉伸涡模型.激波和刚体边界周围区域采用迎风型WENO格式，湍流区域采用低数值耗散的TCD格式.时间推进采用三阶的SSP R-K法.刚体采用6自由度模型，刚体姿态用四元数来表示，控制方程为常微分方程，采用四阶Runge-Kutta法求解.文章给出若干算例来验证程序的有效性，结果理想.
- 6自由度 /
- 激波 /
- 湍流 /
- 大涡模拟 /
- ghost-fluid法
Abstract: Simulation of bodies moving in fluid has very broad application areas. A method for solving unsteady compressible supersonic flow with freely moving rigid bodies of 6 degrees of freedom was presented. The fluid solver dealt with the large-eddy simulation turbulence model, which was a stretched vortex subgrid model in the current work. The WENO scheme was used in the discontinuous flow regions (the shock waves and the contact surfaces) and the tuned center difference scheme was applied in the smooth flow regions. An optimal 3rd-order strong-stability preserving Runge-Kutta scheme was used for the time integration. The model for the rigid bodies was of 6 degrees of freedom and its orientation was tracked with a quaternion. Several numerical examples were presented to verify the correctness and accuracy of the solvers and the results were satisfactory.
- 6 degrees of freedom /
- shock wave /
- turbulence /
- large-eddy simulation /
- ghost-fluid method

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参考文献(38)

[1]	Lijewski L E, Suhs N E. Time-accurate computational fluid dynamics approach to transonic store separation trajectory prediction[J]. Journal of Aircraft,1994,31(4): 886-891.
[2]	Koomullil R, Cheng G, Soni B, Noack R, Prewitt N. Moving-body simulations using overset framework with rigid body dynamics[J]. Mathematics and Computers in Simulation,2008,78(5/6): 618-626.
[3]	Noack R W. DiRTlib: a library to add an overset capability to your flow solver[C]// 17th AIAA Computational Fluid Dynamics Conference . Toronto, Ontario, Canada, 2005: 5116.
[4]	Murman S M, Aftosmis M J, Berger M J. Simulations of 6-DOF motion with a Cartesian method[C]//41st AIAA Aerospace Sciences Meeting . Reno, Nevada, 2003: 1246.
[5]	Murman S M, Chan W M, Aftosmis M J, Meakin R L. An interface for specifying rigid-body motions for CFD applications[C]//41st AIAA Aerospace Sciences Meeting.Reno, Nevada, 2003: 1237.
[6]	刘君, 白晓征, 郭正. 非结构动网格计算方法——及其在包含运动界面的流场模拟中的应用[M]. 长沙: 国防科技大学出版社, 2009.(LIU Jun, BAI Xiao-zheng, GUO Zheng. Numerical Simulation Method Using Unstructured Meshes—Including Applications Flows With Moving Interface [M]. Changsha: National University of Defense Technology Press, 2009.(in Chinese))
[7]	Martín M P, Taylor E M, Wu M, Weirs V G. A bandwidth-optimized WENO scheme for the effective direct numerical simulation of compressible turbulence[J]. Journal of Computational Physics,2006,220(1): 270-289.
[8]	Vreman B, Geurts B, Kuerten H. A priori tests of large eddy simulation of the compressible plane mixing layer[J]. Journal of Engineering Mathematics,1995,29(4): 299-327.
[9]	Vreman B. Direct and large-eddy simulation of the compressible turbulent mixing layer[D]. PhD Thesis. Enschede: University of Twente, 1995.
[10]	Martín M P, Piomelli U, Candler G V. Subgrid-scale models for compressible large-eddy simulations[J].Theoretical and Computational Fluid Dynamics,2000,13(5): 361-376.
[11]	Misra A, Pullin D I. A vortex-based subgrid stress model for large-eddy simulation[J]. Physics of Fluids,1997,9(8): 2443-2454.
[12]	Kosovi? B, Pullin D I, Samtaney R. Subgrid-scale modeling for large-eddy simulations of compressible turbulence[J]. Physics of Fluids,2002,14(4): 1511-1522.
[13]	Hill D J, Pantano C, Pullin D I. Large-eddy simulation and multiscale modeling of a Richtmyer-Meshkov instability with reshock[J]. Journal of Fluid Mechanics,2006,557(6): 29-61.
[14]	Lesieur M, Métais O. New trends in large-eddy simulations of turbulence[J]. Annual Review of Fluid Mechanics,1996,28(1): 45-82.
[15]	Voelkl T, Pullin D I, Chan D C. A physical-space version of the stretched-vortex subgrid-stress model for large eddy simulation[J]. Physics of Fluids,2000,12(7): 1810-1825.
[16]	Pullin D I. A vortex-based model for the subgrid flux of a passive scalar[J]. Physics of Fluids,2000,12(9): 2311-2319.
[17]	张兆顺, 崔桂香, 许春晓. 湍流大涡数值模拟的理论和应用[M]. 北京: 清华大学出版社, 2008.(ZHANG Zhao-shun, CUI Gui-xiang, XU Chun-xiao. Theories and Applications of Large Eddy Simulation for Turbulence[M]. Beijing: Tsinghua University Press, 2008.(in Chinese))
[18]	Weirs V G, Candler G V. Optimization of weighted ENO schemes for DNS of compressible turbulence[C]//13th Computational Fluid Dynamics Conference . Snowmass Village, Colorado, 1997.
[19]	Lin S Y, Hu J J. Parametric study of weighted essentially nonoscillatory schemes for computational aeroacoustics[J]. AIAA Journal,2001,39(3): 371-379.
[20]	Mittal R, Moin P. Suitability of upwind-biased finite difference schemes for large-eddy simulation of turbulent flows[J]. AIAA Journal,1997,35(8): 1415-1417.
[21]	Adams N A, Shariff K. A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems[J]. Journal of Computational Physics,1996,127(1): 27-51.
[22]	Pirozzoli S. Conservative hybrid compact-WENO schemes for shock-turbulence interaction[J]. Journal of Computational Physics,2002,178(1): 81-117.
[23]	Hill D J, Pullin D I. Hybrid tuned center-difference-WENO method for large eddy simulations in the presence of strong shocks[J]. Journal of Computational Physics,2004,194(2): 435-450.
[24]	Zang T A. On the rotation and skew-symmetric forms for incompressible flow simulations[J]. Applied Numerical Mathematics,1991,7(1): 27-40.
[25]	Blaisdell G A. Numerical simulation of compressible homogeneous turbulence[D]. PhD Thesis. California: Stanford University, 1991.
[26]	Honein A E, Moin P. Higher entropy conservation and numerical stability of compressible turbulence simulations[J]. Journal of Computational Physics,2004,201(2): 531-545.
[27]	Jiang G S, Shu C W. Efficient implementation of weighted ENO schemes[J]. Journal of Computational Physics,1996,126(1): 202-228.
[28]	Mauch S. Efficient algorithms for solving static Hamilton-Jacobi equations[D]. PhD Thesis. Pasadena, California: California Institute of Technology, 2003.
[29]	Gottlieb S, Shu C W, Tadmor E. Strong stability-preserving high-order time discretization methods[J].SIAM Review,2001,43(1): 89-112.
[30]	Smart E H. Advanced Dynamics[M]. Macmillan, 1951.
[31]	Thomson W T. Introduction to space dynamics[C]// NASA STI/Recon Technical Report A . New York: Dover Publications Inc, 1986.
[32]	Glass I I, Kaca J, Zhang D L, Glaz H M, Bell J B, Trangenstein J A, Collins J P. Diffraction of planar shock waves over half-diamond and semicircular cylinders: an experimental and numerical comparison[C]//Current Topics in Shock Waves 17th International Symposium on Shock Waves and Shock Tubes . Bethlehem, Pennsylvania, 1990,208: 246-251.
[33]	Zhang D L, Glass I I. An interferometric investigation of the diffraction of planar shock waves over a half-diamond cylinder in air[R]. Toronto: University of Toronto, 1988.
[34]	Forrer H, Berger M. Flow Simulations on Cartesian grids involving complex moving geometries[C]//Hyperbolic Problems: Theory, Numerics, Applications . Basel: Birkhuser Verlag, 1999,129: 315-324.
[35]	Falcovitz J, Alfandary G, Hanoch G. A two-dimensional conservation laws scheme for compressible flows with moving boundaries[J]. Journal of Computational Physics,1997,138(1): 83-102.
[36]	Arienti M, Hung P, Morano E, Shepherd J E. A level set approach to Eulerian-Lagrangian coupling[J].Journal of Computational Physics,2003,185(1): 213-251.
[37]	Laurence S J, Deiterding R. Shock-wave surfing[J].Journal of Fluid Mechanics,2011,676(3): 396-431.
[38]	Laurence S J, Parziale N J, Deiterding R. Dynamical separation of spherical bodies in supersonic flow[J]. Journal of Fluid Mechanics,2012,713(12): 159-182.