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具有隔板容器中液体晃荡的数值模拟
引用本文:宋伟华,宁德志,刘玉龙,滕斌.具有隔板容器中液体晃荡的数值模拟[J].水动力学研究与进展(A辑),2012,27(1):54-61.
作者姓名:宋伟华  宁德志  刘玉龙  滕斌
作者单位:1. 大连理工大学海岸和近海工程国家重点实验室,大连,116024
2. 大连理工大学海岸和近海工程国家重点实验室,大连116024;武汉大学水资源与水电工程科学国家重点实验室,武汉430072
基金项目:国家重点基础研究发展计划(973计划,2011CB013703);国家自然科学基金创新群体项目(50921001)和国家自然科学基金项目(51179028,51009023)~~
摘    要:在容器中装置隔板来抑制液体晃荡是一种常见的工程措施。此文针对具有隔板的矩形容器中液体晃荡问题,采用时域高阶边界元方法建立了自由水面满足完全非线性边界条件的数学模型。求解中采用了半混合欧拉-拉格朗日方法追踪流体瞬时水面,并运用四阶龙格库塔方法更新下一时间步的波面和速度势。通过与文献的数值结果的对比,验证了本模型的准确性。通过大量数值试验,研究了隔板位置、尺寸和形式等因素对容器内晃荡液体运动特性、动力特性和容器固有频率的影响。

关 键 词:隔板  时域高阶边界元法  完全非线性  固有频率  傅利叶变换

Numerical simulation of liquid sloshing in a container with baffles
SONG Wei-hua , NING De-zhi , LIU Yu-long , TENG Bin.Numerical simulation of liquid sloshing in a container with baffles[J].Journal of Hydrodynamics,2012,27(1):54-61.
Authors:SONG Wei-hua  NING De-zhi  LIU Yu-long  TENG Bin
Institution:1(1.State Key Laboratory of Coastal and Offshore Engineering,Dalian University of Technology, Dalian 116024,China; 2.State Key Laboratory of Water Resources and Hydropower Engineering Science,Wuhan University, Wuhan,430072,China)
Abstract:It is a normal engineering method to restrain liquid sloshing in container by installing baffles.A fully nonlinear numerical model is developed based on a time-domain higher-order boundary element method to simulate liquid sloshing in a rectangular container with baffles in the present paper.The fully nonlinear free surface boundary conditions are satisfied on the instantaneous free surface in this model.The semi mixed Eulerian-Lagrangian scheme is adopted to track the transient free surface with the fourth-order Runge-Kutta method for refreshing wave profile and velocity potential at the every time-step.In good comparison with the published results,the present model is verified.Further,many numerical experiments on liquid sloshing in a baffled tank are carried out to investigate different parameters(such as position,dimension and form of baffle) effect on kinematic,dynamic characteristics and natural frequency of container.
Keywords:baffle  time-domain higher-order boundary element method  fully nonlinear  natural frequency  Fourier transform
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