Numerical model of sloshing in rectangular tank based on Boussinesq-type equations
Numerical model of sloshing in rectangular tank based on Boussinesq-type equations
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DOI：
10.1016/j.oceaneng.2016.05.033
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发表时间：
2016-07
影响因子：
5
通讯作者：
Yangyang Su;Zuyuan Liu
中科院分区：
文献类型：
--
作者：
Yangyang Su;Zuyuan Liu
采用高精度的Boussinesq型速度势方程对二维矩形贮箱中的晃荡现象进行了数值模拟。采用完全非线性自由面条件，并在动力自由面条件中加入线性化的能量耗散项。将总速度势分为特解和用Boussinesq型模型计算的余势两部分。考虑了浅水、中等水深和有限水深情况下的不同充液量对数值模型的验证。介绍了基于固有晃动频率对应的本征模态叠加的线性理论。与线性理论计算结果和文献结果相比，基于Boussinesq型方程的数值模型在预测小激励幅值下矩形贮箱内液体晃荡运动时表现出良好的性能。
The highly accurate Boussinesq-type equations in terms of velocity potential are adopted for the simulation of sloshing phenomena in a two-dimensional rectangular tank. The fully nonlinear free surface conditions are used and linearized energy dissipation term is added into the dynamic free surface condition. The total velocity potential is divided into two parts: the particular solution and the rest which is calculated by the Boussinesq-type model. Different filling levels of liquid in the tank are considered for the validation of the numerical model, including shallow water, intermediate water depth and finite water depth cases. The linear theory based on the superposition of eigen-modes corresponding to natural sloshing frequencies is introduced. Compared with results calculated by linear theory and results from literatures, the numerical model based on Boussinesq-type equations presents good performances in predicting the sloshing motions in rectangular tank with small excitation amplitude.