摘要
针对矩形容器内液体晃荡问题,采用了时域高阶边界元方法建立自由水面满足完全非线性边界条件的数学模型。求解中采用混合欧拉-拉格朗日方法追踪流体瞬时水面,运用四阶龙格库塔方法更新下一时间步的波面和速度势。通过将计算得到的波面结果与实验数据、解析解和已发表结果对比,吻合良好,验证了本方法的准确性。进而采用谱分析方法分析了波面时间历程,得到容器各阶固有频率对液体晃荡的影响。研究发现,基频对液体晃荡的影响最大,且非线性越强,更高阶容器固有频率的影响越大。
To solve the problem of liquid sloshing in a rectangular container,a time-domain higher-order boundary element method was adopted to establish a mathematical model with fully nonlinear boundary conditions satisfied by free water surface.In the solving process,the mixed Eulerian-Lagrangian technique was applied to track the transient liquid surface and the 4th-order Runge-Kutta method was used to refresh wave elevation and velocity potential on the free water surface at each time step.The calculated results were compared with experimental data,analytical solutions and published results respectively.Good agreements among them were obtained and the accuracy of present model was verified.After the Fourier Transformation method was adopted to study the time series of wave elevation,the contributions from various order natural frequencies of container for sloshing were analyzed.It shows that the fundamental frequency contributes strongest effect on the sloshing,and the higher-order natural frequencies have more effect with the nonlinearity increased.
出处
《海洋科学进展》
CAS
CSCD
北大核心
2012年第1期45-53,共9页
Advances in Marine Science
基金
国家自然科学创新群体基金--海洋环境灾害作用与结构安全防护(50921001)
国家自然科学基金面上项目--极值波浪与水流混合与海洋结构物作用的模拟研究(5179028)
水资源与水电工程科学国家重点实验室开放基金--复杂边界条件下溃坝问题的实时模拟研究(2009B057)
关键词
固有频率
完全非线性
混合欧拉-拉格朗日方法
时域高阶边界元方法
谱分析
natural frequency
fully nonlinear
Mixed Eulerian-Lagrangian method
Time-domain higher-order boundary element method
spectrum analysis
