基于格子Boltzmann方法的液压激振管道压力冲击的研究
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摘要
为研究液压激振管道的压力冲击问题,引入一种基于介观粒子的格子Boltzmann方法,建立液压激振管道的多松弛格子演化模型,模拟阀门关闭引起的管道压力冲击;在不同阀门关闭时间、不同流速变化条件下,分析管道压力冲击的变化规律以及管道中速度场对压力的影响。仿真分析结果表明:关阀时间与管道压力波周期的关系是影响管道压力冲击的根本原因;通过与传统有限体积法的模拟结果进行对比,得出格子Boltzmann方法能较好地模拟液压激振中管道的压力冲击,与传统方法模拟结果有较好的一致性,且格子方法的运算效率更高;速度场的分析表明,速度瞬变是压力瞬变的根本原因。两种分析方法对比表明,格子Boltzmann方法方法具有易于编程实现、计算效率高等特点,可以应用于复杂液压激振系统的分析研究。
In order to study the hydraulic vibration pipeline problem, a multi-relaxation-time lattice Boltzmann method was introduced based on the dynamic theory of mesoscopic particles.A multi-relaxation lattice evolution model was estabilished for hydraulic excited pipes. Pipe pressure shock caused by valve closing was simulated. Under the condition of different valve closing time and different flow velocities, the change law of pipeline pressure shock and the influence of velocity field on pressure were analyzed. The results show that the relationship between the time of closing valve and the period of pressure wave is the root cause of the pipeline pressure shock. By comparison with the simulation results of the traditional finite volume method, it is found that the Littice Boltzmann method can simulate the pressure shock phenomenon in hydraulic exciting pipe, and the results are in good agreement with the results of the traditional method and the operation efficiency is obviously higher. Analysis of the velocity field shows that velocity transients are the root cause of the pressure transients. The comparison of the two analysis methods shows that the lattice Boltzmann method has the advantages of easy programming and high computational efficiency and so on, thus can be applied to the analysis and research of a complex hydraulic exciting system.
In order to study the hydraulic vibration pipeline problem, a multi-relaxation-time lattice Boltzmann method was introduced based on the dynamic theory of mesoscopic particles.A multi-relaxation lattice evolution model was estabilished for hydraulic excited pipes. Pipe pressure shock caused by valve closing was simulated. Under the condition of different valve closing time and different flow velocities, the change law of pipeline pressure shock and the influence of velocity field on pressure were analyzed. The results show that the relationship between the time of closing valve and the period of pressure wave is the root cause of the pipeline pressure shock. By comparison with the simulation results of the traditional finite volume method, it is found that the Littice Boltzmann method can simulate the pressure shock phenomenon in hydraulic exciting pipe, and the results are in good agreement with the results of the traditional method and the operation efficiency is obviously higher. Analysis of the velocity field shows that velocity transients are the root cause of the pressure transients. The comparison of the two analysis methods shows that the lattice Boltzmann method has the advantages of easy programming and high computational efficiency and so on, thus can be applied to the analysis and research of a complex hydraulic exciting system.
引文
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[21]PREMNATH K N,ABRAHAM J.Three-dimensional multirelaxation time(MRT)lattice-Boltzmann models for multiphase flow[J].Journal of Computational Physics,2007,224(2):539-559.
[22]穆罕默德·阿卜杜勒马吉德.格子玻尔兹曼方法[M].杨大勇,译.电子工业出版社,2015.
[23]DU R,SHI B,CHEN X.Multi-relaxation-time lattice Boltzmann model for incompressible flow[J].Physics Letters A,2006,359(6):564-572.
[24]LALLEMAND P,LUO L S.Theory of the lattice Boltzmann method:dispersion,dissipation,isotropy,galilean invariance,and stability[J].Physical Review E Statistical Physics Plasmas Fluids&Related Interdisciplinary Topics,2000,61(61):6546-6562.
[2]AVILA K,MOXEY D,DE L A,et al.The onset of turbulence in pipe flow[J].Science,2011,333:192-196.
[3]HAYASHI I,KANEKO S.312 pressure pulsations in piping systems excited by centrifugal compressor[C]∥Dynamics&Design Conference.[S.l.]:The Japan Society of Mechanical Engineers,2006.
[4]寇子明,魏秀业,廉红珍,等.有压瞬变流激振理论及激振试验[J].振动、测试与诊断,2010,30(5):519-524.KOU Ziming,WEI Xiuye,LIAN Hongzhen,et al.Vibration excitation theory of pressure transient flow and its test[J].Journal of Vibration,Measurement and Diagnosis,2010,30(5):519-524.
[5]任建亭,姜节胜.输流管道系统振动研究进展[J].力学进展,2003,33(3):313-324.REN Jianting,JIANG Jiesheng.Advances and trends on vibration of pipes conveying fluid[J].Advances in Mechanics,2003,33(3):313-324.
[6]郭照立.格子Boltzmann方法的原理及应用[M].北京:科学出版社,2009.
[7]陶实.格子波尔兹曼方法在计算流体力学中的应用研究[D].大连:大连理工大学,2013.
[8]程永光,张师华,陈鉴治.用Lattice Boltzmann方法模拟水击[J].水利学报,1998,29(6):25-30.CHENG Yongguang,ZHANG Shihua,CHEN Jianzhi.Water hammer simulation by the Lattice Boltzmann method[J].Journal of Hydraulic Engineering,1998,29(6):25-30.
[9]程永光,张慧.用Lattice Boltzmann方法模拟二维水力过渡过程[J].水利学报,2001,32(10):32-38.CHENG Yongguang,ZHANG Hui.Numerical simulation of 2 D hydraulic transients using Lattice Boltzmann method[J].Journal of Hydraulic Engineering,2001,32(10):32-38.
[10]李彦浩,程永光.用多松弛格子Boltzmann方法模拟三维水击波[J].武汉大学学报(工学版),2013,46(4):417-422.LI Yanhao,CHENG Yongguang.Three-dimensional simulation of water hammer wave by multi relaxation-time lattice Boltzmann method[J].Engineering Journal of Wuhan University,2013,46(4):417-422.
[11]杨成.基于CFX的输水管道水锤现象的数值研究[D].武汉:武汉理工大学,2013.
[12]WILLIS A P,BJRNHOF.On the transient nature of localized pipe flow turbulence[J].Journal of Fluid Mechanics,2010,646(7):127-136.
[13]怀利,斯特里特.瞬变流[M].索丽生,译.北京:水利电力出版社,1983.
[14]董晨钟.水击基本理论研究[D].郑州:郑州大学,2014.
[15]AFSHAR M H,ROHANI M.Water hammer simulation by implicit method of characteristic[J].International Journal of Pressure Vessels&Piping,2008,85(12):851-859.
[16]TIJSSELING A S.Water hammer with fluid-structure interaction in thick-walled pipes[J].Computers&Structures,2007,85(11):844-851.
[17]YANG L M,SHU C,WU J.Development and comparative studies of three non-free parameter lattice boltzmann models for simulation of compressible flows[J].Advances in Applied Mathematics&Mechanics,2012,4(4):454-472.
[18]FRANDSEN J B.Free-surface lattice Boltzmann modeling in single phase flows[C]∥Advanced Numerical Models for Simulating Tsunami Waves and Runup.[S.l.]:[s.n.],2008.
[19]赵庄明,黄平.模拟黏性波二维格子Boltzmann方法的改进[J].水动力学研究与进展,2013,28(2):211-217.ZHAO Zhuangming,HUANG Ping.Revision of lattice Boltzmann method for free surface waves in two dimensional[J].Chinese Journal of Hydrodynamics,2013,28(2):211-217.
[20]赵庄明,黄平,陈莉苹.模拟黏性波的三维格子Boltzmann方法[J].水动力学研究与进展,2013,28(6):708-716.ZHAO Zhuangming,HUANG Ping,CHEN Liping.Lattice Boltzmann method for simulating viscous free surface waves in three-dimensions[J].Chinese Journal of Hydrodynamics,2013,28(6):708-716.
[21]PREMNATH K N,ABRAHAM J.Three-dimensional multirelaxation time(MRT)lattice-Boltzmann models for multiphase flow[J].Journal of Computational Physics,2007,224(2):539-559.
[22]穆罕默德·阿卜杜勒马吉德.格子玻尔兹曼方法[M].杨大勇,译.电子工业出版社,2015.
[23]DU R,SHI B,CHEN X.Multi-relaxation-time lattice Boltzmann model for incompressible flow[J].Physics Letters A,2006,359(6):564-572.
[24]LALLEMAND P,LUO L S.Theory of the lattice Boltzmann method:dispersion,dissipation,isotropy,galilean invariance,and stability[J].Physical Review E Statistical Physics Plasmas Fluids&Related Interdisciplinary Topics,2000,61(61):6546-6562.