有限点法在液舱晃荡问题中的应用  

Application of Finite Point Method to Liquid Sloshing in Tanks

作　　者：卢雨[1] 胡安康[1,2] 刘亚冲 

机构地区：[1]哈尔滨工程大学船舶工程学院,黑龙江哈尔滨150001 [2]中集船舶海洋工程设计研究院,上海201206

出　　处：《华南理工大学学报（自然科学版）》2015年第8期144-150,共7页Journal of South China University of Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(51379040)~~

摘　　要：液舱晃荡问题是近年来液货船设计中十分关注的问题之一,它涉及自由液面的大幅运动等一系列强非线性问题,因此给基于欧拉观点下空间拓扑网格的数值模拟带来了较大的难度.文中基于拉格朗日观点下的有限点法(FPM),对不同充容率的液舱晃荡问题进行了数值模拟,并将数值计算结果与试验值进行对比验证.结果表明:当激励频率与液舱固有频率一致时,舱内流体的晃荡较为剧烈;而当充容率不同时,舱壁对液体流动的抑制作用使得高充容液舱内的流体翻卷变形较为平缓.通过有限点法有效且准确地模拟了不同充容率液舱在各激励频率下的水面晃荡情况,与试验现象基本吻合.同时通过对舱壁监测点的压力计算得知,有限点法的数值结果与实测压力曲线基本保持一致.FPM针对不同工况下的二维液舱晃荡情况均给出了较为准确的数值模拟结果,有效验证了有限点法的可靠性.In recent years, the structural design of liquid cargo ships has been focused on the liquid sloshing in tanks, which involves the high non-linearity problem related to the large amplitude motion of free liquid surface and therefore causes some difficulties in Euler numerical simulation depending upon spatial topological meshes.In this paper, the liquid sloshing of a tank at different filling ratios is numerically simulated by means of the Lagrangian view-based finite point method （ FPM） , and the numerical results are compared with the experimental ones.The results show that when the excitation frequency is consistent with the natural frequency of the tank, the fluid slos-hing is severer;and that, at different filling ratios, the fluid in the tank with a high filling ratio will flow with mode-rate deformations due to the inhibition of bulkheads.Moreover, the FPM can effectively and accurately simulate the violent changes of the liquid sloshing of the tank at different filling ratios under the multi-frequency excitation, and the simulation results accord well with the experimental phenomena.Meanwhile, an impact pressure on the bulk-heads is observed and the calculated values obtained through the FPM are consistent with the measured pressure curves.It is, therefore, found that the FPM performs accurate simulations on the two-dimensional liquid sloshing in the tank under different conditions, which effectively verifies the reliability of the FPM.

关 键 词：液舱晃荡 拉格朗日观点 有限点法 移动最小二乘法 泊松方程 

分 类 号：U661.1[交通运输工程—船舶及航道工程]