液舱内液体晃荡的SPH模型  

A model of liquid sloshing in tanks based on the smoothed particle hydrodynamics(SPH) method

作　　者：李大鸣[1] 李玲玲[1] 高伟 白玲[1] 

机构地区：[1]天津大学水利工程仿真与安全国家重点实验室 [2]中国海洋石油工程股份有限公司设计公司

出　　处：《哈尔滨工程大学学报》2012年第1期37-41,共5页Journal of Harbin Engineering University

基　　金：国家自然科学基金资助项目(51079095);国家自然科学基金创新研究群体科学基金资助项目(51021004)

摘　　要：自由液面的存在使液体晃荡问题具有很强的非线性和随机性.针对中等液位、高液位和在液舱底部加设防荡隔板情况下的液体晃荡问题,依据光滑粒子流体动力学理论,建立了液舱内液体晃荡模型.首先模拟了中等液位和高液位下的液体晃荡,将计算结果分别与线性复合叠加理论解做比较,其结果吻合较好,验证了所建模型的合理性.然后,模拟了在液舱底部加设防荡隔板时的液体晃荡,提出了防荡隔板处粒子分区搜索的边界处理方法.当外激励振幅A=0.025 m时,加设防荡隔板后液面晃荡最大与最小幅值较无隔板时分别减小33.3%和30.6%,当外激励振幅A=0.150 m时,其相应幅值分别减小73.3%和76.2%,说明在相同的外激励作用下适当地加设防荡隔板对减小液体晃荡幅值起到一定作用.The existence of a free surface makes liquid sloshing a very complicated non-linearity and randomness phenomenon.The liquid sloshing under medium depth,deep depth,and with a baffle in the tank was simulated based on the smoothed particle hydrodynamics（SPH） method.The liquid sloshing under medium depth and deep depth was simulated first and the comparison between numerical results and theoretical liner superposition results shows a good agreement and that the model is reasonable.The liquid sloshing with a baffle in the tank was simulated later,proposing the boundary treatment approach of particles at the preventive oscillating baffle which were searched regionally.The results were compared with those without a baffle in the tank;the reductions between them are 33.3% and 30.6% under external excitation amplitude A=0.025 m,and 73.3% and 76.2% under external excitation amplitude A=0.150 m.This shows that the preventive oscillating baffle plays a role in reducing the sloshing amplitude under the same external force.

关 键 词：液体晃荡 SPH法 数值模拟 二维矩形容器 防荡隔板 

分 类 号：O353[理学—流体力学]