基于NURBS曲面建模的三维空泡形态计算方法
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摘要
空泡形态研究是超空泡航行体设计与应用的关键所在。对于充分发展的空化,将Logvinovich空泡截面独立膨胀原理与NURBS方法结合,通过航行体和空泡面的NURBS曲面建模和求交运算得到航行体的三维空泡形态,分别就轴对称型定常空泡、小攻角引起的非轴对称型定常空泡以及航行体竖直向上运动过程中的非定常空泡进行了模拟。结果表明:该方法可用于计算具有复杂外形航行体的三维空泡形态,并且可视化程度高,具有一定的工程应用参考价值。
Cavity shape plays a significant role in the design and application of supercavitating vehicles.For the fully developed cavitation,the principle of independence of cavity sections expansion(Logvinovich's principle)was combined with NURBS method.The three-dimensional cavity shape of vehicle was obtained by NURBS surface modeling and surface intersection operations.The steady axially symmetric cavity,non-axially symmetric cavity caused by small angles of attack and unsteady cavity in the process of vertical upward movement were simulated respectively.The result shows that this method can be efficiently used in the calculation of three-dimensional cavity shape,and it has a high degree of visibility and offers reference for engineering application.
Cavity shape plays a significant role in the design and application of supercavitating vehicles.For the fully developed cavitation,the principle of independence of cavity sections expansion(Logvinovich's principle)was combined with NURBS method.The three-dimensional cavity shape of vehicle was obtained by NURBS surface modeling and surface intersection operations.The steady axially symmetric cavity,non-axially symmetric cavity caused by small angles of attack and unsteady cavity in the process of vertical upward movement were simulated respectively.The result shows that this method can be efficiently used in the calculation of three-dimensional cavity shape,and it has a high degree of visibility and offers reference for engineering application.
引文
[1]SAVCHENKO Y N.Supercavitation-problems and perspectives[C]//Fourth International Symposium on Cavitation.Pasadena:California Institute of Technology,2001:1-8.
[2]张宇文,袁绪龙,邓飞.超空泡航行体流体动力学[M].北京:国防工业出版社,2014.ZHANG Yuwen,YUAN Xulong,DENG Fei.Fluid dynamics of supercavitating underwater vehicles[M].Beijing:National Defense Industry Press,2014.(in Chinese)
[3]BRENNEN C E.Cavitation and bubble dynamics[M].Oxford:Oxford University Press,1995:15-17.
[4]LOGVINOVICH G V.Hydrodynamics of flows with free boundaries[M].New York:Halsted Press,1973.
[5]邹望.基于Logvinovich原理的通气超空泡理论及其数值研究[D].哈尔滨:哈尔滨工业大学,2013.ZOU Wang.Theoretical and numerical research on ventilated supercavitating flows based on Logvinovich’s principle[D].Harbin:Harbin Institute of Technology,2013.(in Chinese)
[6]VASIN A D.The principle of independence of the cavity sections expansion(Logvinovich’s Principle)as the basis for investigation on cavitation flows[C]//VKI Special Course on Supercavitating Flows.Brussels:RTO-AVT and VKI,2001:105-131.
[7]张学伟,张亮,王聪,等.基于Logvinovich独立膨胀原理的超空泡形态计算方法[J].兵工学报,2009,30(3):361-365.ZHANG Xuewei,ZHANG Liang,WANG Cong,et al.A calculation method for supercavity shape based on the Logvinovich in-dependence principle of the cavity section expansion[J].Acta Armamentarii,2009,30(3):361-365.(in Chinese)
[8]陈玮琪,王宝寿,颜开,等.空化器出水非定常垂直空泡的研究[J].力学学报,2013,45(1):76-82.CHEN Weiqi,WANG Baoshou,YAN Kai,et al.Study on the unsteady vertical cavity of the exit-water cavitor[J].Chinese Journal of Theoretical and Applied Mechanics,2013,45(1):76-82.(in Chinese)
[9]周景军.基于奇点面元法的超空泡形态研究[D].哈尔滨:哈尔滨工业大学,2007.ZHOU Jingjun.Research on the shapes of supercavity based on panel method of singularity[D].Harbin:Harbin Institute of Technology,2007.(in Chinese)
[10]黄海龙,黄文虎,周峰.圆盘空化器超空泡形态三维数值模拟研究[J].兵工学报,2008,29(1):79-84.HUANG Hailong,HUANG Wenhu,ZHOU Feng.Numerical simulation on the shape of natural supercavity based on full three dimensional disk-cavitator[J].Acta Armamentarii,2008,29(1):79-84.(in Chinese)
[11]邢彦江.航行体非定常空泡流流体动力特性研究[D].哈尔滨:哈尔滨工业大学,2013.XING Yanjiang.Research on hydrodynamic characteristic of vehicle unsteady cavity flow[D].Harbin:Harbin Institute of Technology,2013.(in Chinese)
[12]顾久渊.高速运动航行体空泡外形的近似计算[R].无锡:中国船舶科学研究中心,1999.GU Jiuyuan.Approximate calculation of cavity shape on highspeed underwater vehicle[R].Wuxi:China Ship Scientific Research Center,1999.(in Chinese)
[13]李雨田,张宇文.空泡外形对超空泡航行体机动回转运动影响[J].振动与冲击,2014,33(16):165-170.LI Yutian,ZHANG Yuwen.The influence of cavity shape on maneuvering rotational movement of supercavitating vehicle[J].Journal of Vibration and Shock,2014,33(16):165-170.(in Chinese)
[14]程少华,权晓波,于海涛,等.小攻角下航行体三维非定常空泡形态理论预示方法[J].船舶力学,2015,19(8):889-895.CHENG Shaohua,QUAN Xiaobo,YU Haitao,et al.Three-dimensional cavitation shape of the underwater vehicles at a small attack angle in unsteady flow[J].Journal of Ship Mechanics,2015,19(8):889-895.(in Chinese)
[15]PIEGL L,TILLER W.NURBS book[M].New York:Springer-Verlag,1997.
[16]胡俊辉.水下垂直发射的航行体在出水过程中超空泡的形成、溃灭及其自由面相互作用的水动力学机理研究[D].杭州:浙江理工大学,2013.HU Junhui.Research of hydrodynamic mechanism of formation collapse and interaction between free surface of surface of supercavitation in the process of water exit of a vertically launched underwater vehicle[D].Hangzhou:Zhejiang Sci-Tech University,2013.(in Chinese)
[2]张宇文,袁绪龙,邓飞.超空泡航行体流体动力学[M].北京:国防工业出版社,2014.ZHANG Yuwen,YUAN Xulong,DENG Fei.Fluid dynamics of supercavitating underwater vehicles[M].Beijing:National Defense Industry Press,2014.(in Chinese)
[3]BRENNEN C E.Cavitation and bubble dynamics[M].Oxford:Oxford University Press,1995:15-17.
[4]LOGVINOVICH G V.Hydrodynamics of flows with free boundaries[M].New York:Halsted Press,1973.
[5]邹望.基于Logvinovich原理的通气超空泡理论及其数值研究[D].哈尔滨:哈尔滨工业大学,2013.ZOU Wang.Theoretical and numerical research on ventilated supercavitating flows based on Logvinovich’s principle[D].Harbin:Harbin Institute of Technology,2013.(in Chinese)
[6]VASIN A D.The principle of independence of the cavity sections expansion(Logvinovich’s Principle)as the basis for investigation on cavitation flows[C]//VKI Special Course on Supercavitating Flows.Brussels:RTO-AVT and VKI,2001:105-131.
[7]张学伟,张亮,王聪,等.基于Logvinovich独立膨胀原理的超空泡形态计算方法[J].兵工学报,2009,30(3):361-365.ZHANG Xuewei,ZHANG Liang,WANG Cong,et al.A calculation method for supercavity shape based on the Logvinovich in-dependence principle of the cavity section expansion[J].Acta Armamentarii,2009,30(3):361-365.(in Chinese)
[8]陈玮琪,王宝寿,颜开,等.空化器出水非定常垂直空泡的研究[J].力学学报,2013,45(1):76-82.CHEN Weiqi,WANG Baoshou,YAN Kai,et al.Study on the unsteady vertical cavity of the exit-water cavitor[J].Chinese Journal of Theoretical and Applied Mechanics,2013,45(1):76-82.(in Chinese)
[9]周景军.基于奇点面元法的超空泡形态研究[D].哈尔滨:哈尔滨工业大学,2007.ZHOU Jingjun.Research on the shapes of supercavity based on panel method of singularity[D].Harbin:Harbin Institute of Technology,2007.(in Chinese)
[10]黄海龙,黄文虎,周峰.圆盘空化器超空泡形态三维数值模拟研究[J].兵工学报,2008,29(1):79-84.HUANG Hailong,HUANG Wenhu,ZHOU Feng.Numerical simulation on the shape of natural supercavity based on full three dimensional disk-cavitator[J].Acta Armamentarii,2008,29(1):79-84.(in Chinese)
[11]邢彦江.航行体非定常空泡流流体动力特性研究[D].哈尔滨:哈尔滨工业大学,2013.XING Yanjiang.Research on hydrodynamic characteristic of vehicle unsteady cavity flow[D].Harbin:Harbin Institute of Technology,2013.(in Chinese)
[12]顾久渊.高速运动航行体空泡外形的近似计算[R].无锡:中国船舶科学研究中心,1999.GU Jiuyuan.Approximate calculation of cavity shape on highspeed underwater vehicle[R].Wuxi:China Ship Scientific Research Center,1999.(in Chinese)
[13]李雨田,张宇文.空泡外形对超空泡航行体机动回转运动影响[J].振动与冲击,2014,33(16):165-170.LI Yutian,ZHANG Yuwen.The influence of cavity shape on maneuvering rotational movement of supercavitating vehicle[J].Journal of Vibration and Shock,2014,33(16):165-170.(in Chinese)
[14]程少华,权晓波,于海涛,等.小攻角下航行体三维非定常空泡形态理论预示方法[J].船舶力学,2015,19(8):889-895.CHENG Shaohua,QUAN Xiaobo,YU Haitao,et al.Three-dimensional cavitation shape of the underwater vehicles at a small attack angle in unsteady flow[J].Journal of Ship Mechanics,2015,19(8):889-895.(in Chinese)
[15]PIEGL L,TILLER W.NURBS book[M].New York:Springer-Verlag,1997.
[16]胡俊辉.水下垂直发射的航行体在出水过程中超空泡的形成、溃灭及其自由面相互作用的水动力学机理研究[D].杭州:浙江理工大学,2013.HU Junhui.Research of hydrodynamic mechanism of formation collapse and interaction between free surface of surface of supercavitation in the process of water exit of a vertically launched underwater vehicle[D].Hangzhou:Zhejiang Sci-Tech University,2013.(in Chinese)