水下运动目标的水面波纹数值模拟及分析
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摘要
水下运动目标与水体的相互作用会在水面产生开尔文尾迹和伯努利水丘等特定波纹,为机载、星载的雷达光电探测水下运动目标的位置及速度等提供了可能,成为当前国内外研究的重要方向之一。为了研究水下运动目标水面波纹的特点,论文采用三维不可压缩RANS方程,辅以RNG k-ε湍流模型以及VOF自由面处理方法建立了水下运动目标水面波纹模拟的数学模型,并对水下航行体在不同速度及深度等参数情况下的水面波纹进行模拟,分析了速度及深度等参数与尾迹特征的关系。论文结果对实尺度水下潜艇的海面波纹模拟以及水下潜艇探测技术的研究具有意义。
The interaction of moving submerged target and fluid will generate specific wave patterns, such as the Kelvin wave and the Bernoulli dome, which provides possibility for the airborne and spaceborne radar to get the parameters including location and velocity of the target using photoelectric detection. It has become an important research direction. In order to study the characteristics of the wave pattern, a mathematic model was established by using the 3-D incompressible Reynolds-averaged Navier-Stokes(RANS) equations, RNG k-ε turbulence model and the volume-of-fluid(VOF) method. The simulation result of the wave patterns of the submerged target at different depths and velocities reveals the relationship between the parameters and the wave pattern. The result obtained is significant for the simulation and detection technology of real submarines.
The interaction of moving submerged target and fluid will generate specific wave patterns, such as the Kelvin wave and the Bernoulli dome, which provides possibility for the airborne and spaceborne radar to get the parameters including location and velocity of the target using photoelectric detection. It has become an important research direction. In order to study the characteristics of the wave pattern, a mathematic model was established by using the 3-D incompressible Reynolds-averaged Navier-Stokes(RANS) equations, RNG k-ε turbulence model and the volume-of-fluid(VOF) method. The simulation result of the wave patterns of the submerged target at different depths and velocities reveals the relationship between the parameters and the wave pattern. The result obtained is significant for the simulation and detection technology of real submarines.
引文
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[12] Wang Hongwei, Chen Ke, You Yunxiang, et al. Experiments on internal waves generated by a towed revolution body with different depths in a stratified fluid[J]. Chin Sci Bull, 2017,62(19):2132-2148.(in Chinese)王宏伟,陈科,尤云祥,等.密度分层流体中不同潜深拖曳回转体激发内波特性实验[J].科学通报, 2017, 62(19):2132-2148.
[13] Zhao Yunfeng, Li Yejin, Zhang Yin, et al. A space-based infrared detection scene generation system for moving objects with sea background[J]. Optics and Precision Engineering,2017, 25(4):1019-1025.(in Chinese)赵云峰,李夜金,张寅,等.海洋背景下运动目标的天基红外探测场景生成系统[J].光学精密工程, 2017, 25(4):1019-1025.
[2] Zhang Shicheng, Yang Li, Shi Heng. Infrared characterization and detection of ship wake based on ray tracing method[J].Infrared and Laser Engineering, 2015, 44(5):1450-1455.(in Chinese)张士成,杨立,石恒.基于射线跟踪算法的舰船尾迹波红外特征与探测[J].红外与激光工程, 2015, 44(5):1450-1455.
[3] Qin Gang, Yang Yu, Zhang Jiansheng. Monte Carlo simulation of polarization properties of scattered light from far ship wakes[J]. Infrared and Laser Engineering, 2013,42(7):1730-1736.(in Chinese)秦刚,杨郁,张建生.船舰远程尾流散射光偏振特性的蒙特卡洛模拟[J].红外与激光工程, 2013, 42(7):1730-1736.
[4] Zhang Nan, Zhang Shengli, Shen Hongcui, et al. Numerical simulation of hull/propeller interaction with free surface[J].Chinese Journal of Hydrodynamics, 2012, 27(1):94-99.(in Chinese)张楠,张胜利,沈泓萃,等.带自由液面的艇/桨干扰特性数值模拟与验证研究[J].水动力学研究与进展, 2012, 27(1):94-99.
[5] Yang G. RNG k-εpump turbine working condition of numerical simulation and optimization of the model[C]//International Conference Intelligent Computing, 2016.
[6] Chang Y, Zhao F, Zhang J, et al. Numerical simulation of internal waves excited by a submarine moving in the twolayer stratified fluid[J]. Journal of Hydrodynamics Ser B,2006, 18(3):330-336.
[7] Hirt C W, Nichols B D. Volume of fluid(VOF)method for the dynamics of free boundaries[J]. Journal of Computational Physics, 1981, 39(1):201-225.
[8] Luo Huan. The surface wake generated by a submerged moving body in a stratified viscous fluid and its interaction with the stochastic ocean waves[D]. Shanghai:Shanghai Jiao Tong University, 2007.(in Chinese)罗桓.粘性分层流中水下航行体尾迹在随机海面中的表现特征研究[D].上海:上海交通大学, 2007.
[9] Hong Fangwen, Chang Yu. Numerical simulation of surface wake for submarine moving in homogenous fluid[J].Journal of Ship Mechanics, 2005, 9(4):9-17.(in Chinese)洪方文,常煜.均匀流中潜艇水下运动表面尾迹的数值模拟[J].船舶力学, 2005, 9(4):9-17.
[10] Lustri C J, Chapman S J. Unsteady flow over a submerged source with low Froude number[J]. European Journal of Applied Mathematics, 2014, 25(5):655-680.
[11] Sheng Li, Wang Chong, Liu Jubin. Numerical simulation of internal waves caused by moving submerged body in twolayer fluid[J]. Ship Science and Technology, 2016, 38(17):60-64.(in Chinese)盛立,王冲,刘巨斌.两层介质中运动潜体内波的数值计算[J].舰船科学技术, 2016, 38(17):60-64.
[12] Wang Hongwei, Chen Ke, You Yunxiang, et al. Experiments on internal waves generated by a towed revolution body with different depths in a stratified fluid[J]. Chin Sci Bull, 2017,62(19):2132-2148.(in Chinese)王宏伟,陈科,尤云祥,等.密度分层流体中不同潜深拖曳回转体激发内波特性实验[J].科学通报, 2017, 62(19):2132-2148.
[13] Zhao Yunfeng, Li Yejin, Zhang Yin, et al. A space-based infrared detection scene generation system for moving objects with sea background[J]. Optics and Precision Engineering,2017, 25(4):1019-1025.(in Chinese)赵云峰,李夜金,张寅,等.海洋背景下运动目标的天基红外探测场景生成系统[J].光学精密工程, 2017, 25(4):1019-1025.