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基于边界元方法, 使空泡表面和细长体表面分别满足Dirichlet 边界条件和Neumann边界条件, 数值迭代获得小攻角下三维细长体的定常空化形态. 采用线性三角形单元, 将控制点布置在网格节点上, 应用局部正交坐标系并采用迭代方法获得空泡表面的速度势, 进而通过边界积分方程确定空泡厚度的分布. 采用拉格朗日插值方法得到空泡末端的厚度, 避免了迭代过程中网格的重新划分. 数值结果与实验值符合良好, 验证了该方法的合理性. 系统研究了空化数、攻角以及锥角对于三维细长体空化形态的影响规律. 数值结果表明: 攻角使得细长体的空化形态呈现不对称性, 出现空泡向背流面“堆积”的现象; 而空化数越小或锥角越大, 空泡形态的不对称性将越严重.
[1] Ingber M S, Hailey C E 1992 Int. J. Numerical Methods in Fluids 15 251
[2] Wolfe W P, Hailey C E, Oberkampf W 1989 J. Fluids Eng. 111 300
[3] Huang B, Wang G Y, Hu C L, Gao D M 2012 Engin. Mech. 29 320 (in Chinese) [黄彪, 王国玉, 胡常莉, 高德明 2012 工程力学 29 320]
[4] Wang Y W, Huang C G, Du T Z, Wu X Q, Fang X, Liang N G, Wei Y P 2012 Chin. Phys. Lett. 29 014601
[5] Liu X M, He J, Lu J, Ni X W 2008 Chin. Phys. B 17 2574
[6] Wang C H, Cheng J C 2013 Chin. Phys. B 22 014304
[7] Singhal A K, Athavale M M, Li H Y, Jiang Y 2002 J. Fluids Eng. 124 617
[8] Srinivasan V, Salazar A J, Saito K 2009 Appl. Math. Model. 33 1529
[9] Chen Y, Lu C J, Guo J H 2010 J. Hydrodyn. 22 893
[10] Zhang L X, Khoo B C 2013 Comput. Fluids 73 1
[11] Rastgou H, Saedodin S 2013 J. Fluids Struct. DOI: 10.1016/j. jfluidstructs. 2013.05.006
[12] Owis F M, Nayfeh A H 2004 Eur. J. Mech. B: Fluids 23 339
[13] Zhang X M, Zhou C Y, Shams I, Liu J Q 2009 Acta Phys. Sin. 58 8406 (in Chinese) [张新明, 周超英, Shams I, 刘家琦 2009 物理学报 58 8406]
[14] Kinnas S A, Fine N E 1991 In Boundary Integral Methods Theory and Applications 10 289
[15] Kinnas S A, Fine N E 1993 J. Fluid Mech. 254 151
[16] Arakeri V H 1975 J. Fluid Mech. 68 779
[17] Wu T Y 1972 Annu. Rev. Fluid. Mech. 4 243
[18] Leng H J, Lu C J 2002 J. Shanghai Jiaotong Univ. 36 395 (in Chinese) [冷海军, 鲁传敬 2002 上海交通大学学报 36 395]
[19] Jia C J, Xu H, Zhang Y W 2004 Ship Sci. Technol. 26 16 ( in Chinese) [贾彩娟, 许晖, 张宇文 2004 舰船科学技术 26 16]
[20] Chen J H, Weng Y C 2005 J. Chin. Instit. Engin. 28 735
[21] Rashidi I, Pasandide M, Ghafoorianfar N, Mansour M 2008 Proceedings of the 12th Asian Congress of Fluid Mechanics Korea, August 18-21, 2008 p1
[22] Liu Y L, Zhang A M, Wang S P, Tian Z L 2013 Acta Phys. Sin. 62 144703 (in Chinese) [刘云龙, 张阿漫, 王诗平, 田昭丽 2013 物理学报 62 144703]
[23] Zhang A M, Wang S P, Wu G X 2013 Eng. Anal. Bound. Elem. DOI: 10.1016/j.enganabound.2013.04.013
[24] Rouse H, McNown J S 1948 Cavitat. Pressure Distribut. Head Forms at Zero Angle of Yaw (Iowa City: The State University of Iowa)
-
[1] Ingber M S, Hailey C E 1992 Int. J. Numerical Methods in Fluids 15 251
[2] Wolfe W P, Hailey C E, Oberkampf W 1989 J. Fluids Eng. 111 300
[3] Huang B, Wang G Y, Hu C L, Gao D M 2012 Engin. Mech. 29 320 (in Chinese) [黄彪, 王国玉, 胡常莉, 高德明 2012 工程力学 29 320]
[4] Wang Y W, Huang C G, Du T Z, Wu X Q, Fang X, Liang N G, Wei Y P 2012 Chin. Phys. Lett. 29 014601
[5] Liu X M, He J, Lu J, Ni X W 2008 Chin. Phys. B 17 2574
[6] Wang C H, Cheng J C 2013 Chin. Phys. B 22 014304
[7] Singhal A K, Athavale M M, Li H Y, Jiang Y 2002 J. Fluids Eng. 124 617
[8] Srinivasan V, Salazar A J, Saito K 2009 Appl. Math. Model. 33 1529
[9] Chen Y, Lu C J, Guo J H 2010 J. Hydrodyn. 22 893
[10] Zhang L X, Khoo B C 2013 Comput. Fluids 73 1
[11] Rastgou H, Saedodin S 2013 J. Fluids Struct. DOI: 10.1016/j. jfluidstructs. 2013.05.006
[12] Owis F M, Nayfeh A H 2004 Eur. J. Mech. B: Fluids 23 339
[13] Zhang X M, Zhou C Y, Shams I, Liu J Q 2009 Acta Phys. Sin. 58 8406 (in Chinese) [张新明, 周超英, Shams I, 刘家琦 2009 物理学报 58 8406]
[14] Kinnas S A, Fine N E 1991 In Boundary Integral Methods Theory and Applications 10 289
[15] Kinnas S A, Fine N E 1993 J. Fluid Mech. 254 151
[16] Arakeri V H 1975 J. Fluid Mech. 68 779
[17] Wu T Y 1972 Annu. Rev. Fluid. Mech. 4 243
[18] Leng H J, Lu C J 2002 J. Shanghai Jiaotong Univ. 36 395 (in Chinese) [冷海军, 鲁传敬 2002 上海交通大学学报 36 395]
[19] Jia C J, Xu H, Zhang Y W 2004 Ship Sci. Technol. 26 16 ( in Chinese) [贾彩娟, 许晖, 张宇文 2004 舰船科学技术 26 16]
[20] Chen J H, Weng Y C 2005 J. Chin. Instit. Engin. 28 735
[21] Rashidi I, Pasandide M, Ghafoorianfar N, Mansour M 2008 Proceedings of the 12th Asian Congress of Fluid Mechanics Korea, August 18-21, 2008 p1
[22] Liu Y L, Zhang A M, Wang S P, Tian Z L 2013 Acta Phys. Sin. 62 144703 (in Chinese) [刘云龙, 张阿漫, 王诗平, 田昭丽 2013 物理学报 62 144703]
[23] Zhang A M, Wang S P, Wu G X 2013 Eng. Anal. Bound. Elem. DOI: 10.1016/j.enganabound.2013.04.013
[24] Rouse H, McNown J S 1948 Cavitat. Pressure Distribut. Head Forms at Zero Angle of Yaw (Iowa City: The State University of Iowa)
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