[1] Wu Y Z, Tian S L, Xia J. Unstructured grid methods for unsteady flow simulation[J]. Acta Aeronautica et Astronautica Sinica, 2011, 32(1): 15-26. (in Chinese) 伍贻兆, 田书玲, 夏健. 基于非结构动网格的非定常流数值模拟方法[J]. 航空学报, 2011, 32(1): 15-26.
[2] Peskin C S. Flow patterns around heart valves: a numerical method[J]. Journal of Computational Physics, 1972, 10(2): 252-271.
[3] Gong Z X, Lu C J, Huang H X. Immersed boundary method and its application[J]. Chinese Quarterly of Mechanics, 2007, 28(3): 353-362. (in Chinese) 宫兆新, 鲁传敬, 黄华雄. 浸入边界法及其应用[J]. 力学季刊, 2007, 28(3): 353-362.
[4] Mittal R, Iaccarino G. Immersed boundary methods[J]. Annual Review of Fluid Mechanics, 2005, 37: 239-261.
[5] Lai M C, Peskin C S. An immersed boundary method with formal second-order accuracy and reduced numerical viscosity[J]. Journal of Computational Physics, 2000, 160(2): 705-719.
[6] Bandringa H. Immersed boundary methods. Groningen: Institute of Mathematics and Computing Science, University of Groningen, 2010.
[7] Leveque R J, Li Z L. The immersed interface method for elliptic equations with discontinuous coefficients and singular sources[J]. SIAM Journal on Numerical Analysis, 1994, 31(4): 1019-1044.
[8] Lai M C, Li Z L. A remark on jump conditions for the three-dimensional Navier-Stokes equations involving an immersed moving membrane[J]. Applied Mathematics Letters, 2001, 14(2): 149-154.
[9] Xu S, Wang Z J. Systematic derivation of jump conditions for the immersed interface method in three-dimensional flow simulation[J]. SIAM Journal on Scientific Computing, 2006, 27(6): 1948-1980.
[10] Xu S, Wang Z J. An immersed interface method for simulating the interaction of a fluid with moving boundaries[J]. Journal of Computational Physics, 2006, 216(2): 454-493.
[11] Tan Z, Le D V, Lim K M, et al. An immersed interface method for the incompressible Navier-Stokes equations with discontinuous viscosity across the interface[J]. SIAM Journal on Scientific Computing, 2009, 31(3): 1798-1819.
[12] Le D V, Khoo B C, Peraire J. An immersed interface method for viscous incompressible flows involving rigid and flexible boundaries[J]. Journal of Computational Physics, 2006, 220(1): 109-138.
[13] Karagiozis K, Kamakoti R, Pantano C. A low numerical dissipation immersed interface method for the compressible Navier-Stokes equations[J]. Journal of Computational Physics, 2010, 229(3): 701-727.
[14] Zhu L D, Peskin C S. Simulation of a flapping flexible filament in a flowing soap film by the immersed boundary method[J]. Journal of Computational Physics, 2002, 179(2): 452-468.
[15] Zhang A M. Automatic control theory[M]. Beijing: Tsinghua University Press, 2005: 449-450. (in Chinese) 张爱民. 自动控制原理[M]. 北京: 清华大学出版社, 2005: 449-450.
[16] Zhong G H. Applications of a moving-boundary numerical simulation method in fluid-structure interaction problems. Beijing: School of Energy and Power Engineering, Beihang University, 2009. (in Chinese) 钟国华. 一种运动边界的数值模拟方法在流固耦合问题中的应用. 北京: 北京航空航天大学能源与动力工程学院, 2009.
[17] Coutanceau M, Bouard R. Experimental determination of the main features of the viscous flow in the wake of a circular cylinder in uniform translation, Part 2: unsteady flow[J]. Journal of Fluid Mechanics, 1979, 79(2): 257-272.
[18] Liao C C, Chang Y W, Lin C A, et al. Simulating flows with moving rigid boundary using immersed-boundary method[J]. Computers & Fluids, 2010, 39(1): 152-167.
[19] Yang J, Balaras E. An embedded-boundary formulation for large-eddy simulation of turbulent flows interacting with moving boundaries[J]. Journal of Computational Physics, 2006, 215(1): 12-40.
[20] Yang Y, Li D, Zhang Z H. Influences of flapping wing micro aerial vehicle unsteady motion on horizon tail[J]. Acta Aeronautica et Astronautica Sinica, 2012, 33(10): 1827-1833. (in Chinese) 杨茵, 李栋, 张振辉. 微型扑翼飞行器非定常运动对平尾的影响[J]. 航空学报, 2012, 33(10): 1827-1833.
[21] Wang Z J. Two dimensional mechanism for insect hovering[J]. Physical Review Letters, 2000, 85(10): 2216-2220. |