为研究凹形运动体三自由度入水过程运动特性，本文基于RANS方程和VOF多相流模型，结合重叠网格技术和动网格技术，对凹形运动体入水过程开展了数值仿真研究。通过数值计算结果与实验结果比较，验证了数值计算方法的有效性。基于该方法分析了不同垂向速度和水平迁移速度对凹形运动体三自由度入水过程运动特性的影响规律。研究结果表明：凹形运动体入水后旋转运动受喷溅冲击影响较大；下落过程中质心运动轨迹存在回摆而呈现“Z”型特征；垂向速度的增加对质心回摆运动具有抑制作用，而水平迁移速度的增加对其具有促进作用。
In this paper the influence of motion parameter on motion characteristics of concave body water entry are conducted based on the RANS equations and VOF (volume of fluid) method. The dynamic mesh method and overlapping grid methd are used. The effectiveness of numerical method are verified by comparison between numerical and experimental result. The influence law of x-direction and y-direction velocity of water entry with three degree of freedom on motion characieristics are researched based on the numerical method. The results show the impact force from liquid splashes has great influence for the rotation of concave body. The trajectory shape like "Z" because of the change of velocity direction. The x-direction and y-direction velocity also have important influence for the impact force from water entry and liquid splashes, and dynamic lift from convex surface of concave body.
2018,40(9): 13-20 收稿日期：2017-12-27
DOI：10.3404/j.issn.1672-7649.2018.09.003
分类号：U661
基金项目：国家自然科学基金资助项目（11672094）
作者简介：路丽睿(1994-),男,硕士研究生,研究方向为多相流体动力学
参考文献：
[1] GEKLE S, Arjan VAN DER BOS, et al. Noncontinuous froude number scaling for the closure depth of a cylindrical cavity[J]. Physical review letters, 2008, 100:084502
[2] GEKLE S, GORDILLO J M, VAN d M D, et al. High-speed jet formation after solid object impact[J]. Physical Review Letters, 2009, 102(3):4502
[3] QUAN S P, HUA J S. Numerical studies of bubble necking in viscous liquids[J]. Physical Review Letters, 2008, E77:066303
[4] REINHARD M, KOROBKIN A A, COOKER M J. Cavity formation on the surface of a body entering water with deceleration[J]. Journal of Engineering Mathematics, 2016, 96(1):155-174
[5] IRANMANESH A, PASSANDIDEH-FARD M. A three-dimensional numerical approach on water entry of a horizontal circular cylinder using the volume of fluid technique[J]. Ocean Engineering, 2017, 130:557-566
[6] 叶取源. 锥头物体垂直入水空泡的发展和闭合[J]. 水动力学研究与进展, 1989, 4(2):33-41 YE Qu-yuan. Evolution and closure of cavity after vertical water entry of cone-head bodies[J]. Journal of Hydrodynamics, 1989, 4(2):33-41
[7] GONG K, LUI H. Numerical simulation of circular disk entering water by an axisymmetrical SPH model in cylindrical coordinates[C]//Proceedings of the Fifth International Conference on Fluid Mechanics, Shanghai, China, 2007. Tsinghua University Press & Springer, 2007:372-375.
[8] ZHANG K, YAN K, CHU X S, et al. Numerical simulation of the water-entry of body based on the Lattice Boltzmann method[C]//29th International Conference on Ocean, Shanghai, China, 2010. ASME Offshore and Arctic Engineering, 2010:135-145.
[9] 张珂, 颜开, 褚学森, 等. 基于LBM方法的圆盘等速入水空泡的数值模拟[J]. 船舶力学, 2010, 10:1129-1133 ZHANG Ke, YAN Kai, CHU Xue-sen, et al. Numerical simulation of constant speed water entry cavity based on LBM[J]. Journal of Ship Mechanics, 2010, 10:1129-1133
[10] 王聪, 何春涛, 权晓波, 等. 空气压力对垂直入水空泡影响的数值研究[J]. 哈尔滨工业大学学报, 2012, 44(5):14-19 WANG Cong, HE Chun-tao, QUAN Xiao-bo, et al. Numerical simulation of the influence of atmospheric pressure on water-cavity formed by cylinder with vertical water-entry[J]. Journal of Harbin Institute of Technology, 2012, 44(5):14-19
[11] 马庆鹏, 魏英杰, 王聪, 等. 锥头圆柱体高速入水空泡数值模拟[J]. 北京航天航空大学学报, 2014, 40(2):204-209 MA Qing-peng, WEI Ying-jie, WANG Cong, et al. Numerical simulation of high-speed water-entry cavity of cone cylinder[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(2):204-209
[12] 王平, 袁帅, 张宁川, 等. 楔形体在波浪中自由入水的数值模拟[J]. 海洋工程, 2017(5):42-50 WANG Ping, YUAN Shuai, ZHANG Ning-chuan, et al. Numerical study of the free water-entry wedge in wave[J]. The Ocean Engineering, 2017(5):42-50
[13] 路中磊, 魏英杰, 王聪, 等. 基于高速摄像实验的开放腔体圆柱壳入水空泡流动研究[J]. 物理学报, 2016, 65(1):301-315 LU Zhong-lei, WEI Ying-jie, WANG Cong,et al. An experimental study of water-entry cavitating flows of an end-closed cylindrical shell based on the high-speed imaging technology[J]. Acta Physica Sinica, 2016, 65(1):301-315
[14] 路中磊, 魏英杰, 王聪, 等. 正浮力开放腔体圆柱壳垂直入水数值计算[J]. 振动与冲击, 2016, 35(16):79-85 LU Zhong-lei, WEI Ying-jie, WANG Cong. Numerical study on vertical water-entry of cylindrical structure with positive buoyancy and un-closed solid cavity[J]. Journal of Vibration and Shock, 2016, 35(16):79-85
[15] GONG K, WANG B, LUI H. Numerical simulation of wedge water entry based on two-dimensional two phase SPH model. http://www.iwwwfb.org/Abstracts/iwwwfb25/iwwwfb25_12.pdf
[16] 赵发明, 高成君, 夏琼. 重叠网格在船舶CFD中的应用研究[J]. 船舶力学, 2011, 15(4):332-341 ZHAO Fa-ming, GAO Chen-jun, XIA Qiong. Overlap grid research on the application of ship CFD[J]. Journal of Ship Mechanics, 2011, 15(4):332-341
[17] ARISTOFF J M, TRUSCOTT T T, TECHET A H, et al. The water entry of decelerating spheres[J]. Meeting of the Aps Division of Fluid Dynamics, 2009, 22(3):417-422
