三维菱形液舱剧烈晃荡和共振频率数值研究

doi:10.16183/j.cnki.jsjtu.2020.066

上海交通大学学报 ›› 2021, Vol. 55 ›› Issue (2): 161-169.doi: 10.16183/j.cnki.jsjtu.2020.066

所属专题：《上海交通大学学报》2021年12期专题汇总专辑；《上海交通大学学报》2021年“工程力学”专题

三维菱形液舱剧烈晃荡和共振频率数值研究

辛建建¹(), 方田², 石伏龙³

^1.宁波大学　海运学院，浙江　宁波　315211
^2.中国船舶科学研究中心，江苏　无锡　214082
^3.武汉理工大学　交通学院，武汉　430063

收稿日期:2020-03-10 出版日期:2021-02-01 发布日期:2021-03-03
作者简介:辛建建(1990-)，男，湖北省孝感市人，讲师，从事船舶水动力和计算流体力学研究．电话(Tel.)：15168198401；E-mail: xinjianjian@nbu.edu.cn.
基金资助:
国家自然科学基金(51909124);宁波大学王宽诚幸福基金资助项目

Numerical Studies on Violent Sloshing and Resonance Frequencies in a Three-Dimensional Prismatic Tank

XIN Jianjian¹(), FANG Tian², SHI Fulong³

^1.Faculty of Maritime and Transportation, Ningbo University, Ningbo 315211, Zhejiang, China
^2.China Ship Scientific Research Center, Wuxi 214082, Jiangsu, China
^3.School of Transportation, Wuhan University of Technology, Wuhan 430063, China

Received:2020-03-10 Online:2021-02-01 Published:2021-03-03

摘要/Abstract

摘要：

为了预报真实液化天然气(LNG)船液舱的共振频率，采用基于直角网格的三维多相流模型，模拟了不同充液水深和激励频率的菱形液舱剧烈晃荡问题．该数值模型采用时间半隐式有限差分法在交错直角网格上求解不可压缩两相流Navier-Stokes(N-S)方程，采用径向基函数虚拟网格法(RBFGCM)处理不规则舱壁结构和，用三维梯度增量水平集(GALS)方法捕捉强非线性自由表面．基于该模型，模拟了横摇激励下的菱形液舱晃荡问题，满意的网格和时间收敛性验证了该方法的高精度和可靠性．而且，不同充液水深下本文冲击压力和波浪爬高结果与实验数据较好地吻合，捕捉到了剧烈的晃荡波浪现象如波浪翻卷．进一步研究了不同水深下舱壁局部位置压力幅值与激励频率之间的关系，确定了菱形液舱共振频率，以期为LNG液舱的结构设计提供理论参考．

关键词: 直角网格, 水平集方法, 晃荡, 菱形液舱, 共振频率

Abstract:

To predict the resonance frequency of the real liquefied natural gas (LNG) tank, a Cartesian grid based three-dimensional (3D) multiphase flow model is used to simulate violent sloshing in a prismatic tank at different filling levels and excitation frequencies. In this model, a semi-implicit finite difference method is adopted to solve the incompressible two-phase flow Navier-Stokes (N-S) equations on a staggered Cartesian grid. Besides, a radial basis function ghost cell method (RBFGCM) is used to treat the irregular tank walls and a 3D gradient-augmented level set (GALS) method is used to capture highly nonlinear free surfaces. Based on the present model, the violent sloshing induced by rolling excitations in the 3D prismatic tank is simulated. Satisfactory convergences of grid sizes and time steps demonstrate the high accuracy and reliability of the present method. Moreover, the present results of the impulsive pressure and wave elevation agree well with the experimental data for different filling water depths. In addition, violent sloshing phenomena are captured such as wave rolling. Furthermore, the relationship between the pressure amplitude on the tank wall and the excitation frequency at four filling levels are investigated to identify the resonance frequency of the prismatic tank, to provide theorical guides for structrual design of the tanks.

Key words: Cartesian grid, level set method, sloshing, prismatic tank, resonance frequency

中图分类号:

O359

辛建建, 方田, 石伏龙. 三维菱形液舱剧烈晃荡和共振频率数值研究[J]. 上海交通大学学报, 2021, 55(2): 161-169.

XIN Jianjian, FANG Tian, SHI Fulong. Numerical Studies on Violent Sloshing and Resonance Frequencies in a Three-Dimensional Prismatic Tank[J]. Journal of Shanghai Jiao Tong University, 2021, 55(2): 161-169.

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液舱	ω_n/(rad·s^－1)
液舱	h/H=0.46	h/H=0.61	h/H=0.75	h/H=0.90
矩形液舱	5.23	5.69	5.97	6.16
菱形液舱	5.1	5.5	5.6	5.9

三维菱形液舱剧烈晃荡和共振频率数值研究

Numerical Studies on Violent Sloshing and Resonance Frequencies in a Three-Dimensional Prismatic Tank

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