耦合激励下的液舱晃荡新型数值解法

Numerical solution of sloshing based on DBIEM

对于液舱内流体运动的模拟,传统频域边界元方法具有很大的局限性即离散求解方程时会出现奇点问题,同时在交界面处所得速度分布精度较低。而去奇异边界元法将传统做法中直接布置于流体计算域表面节点上的奇点移至计算域外部,很好地解决了奇异性问题。该文基于去奇异边界元法,建立了模拟液舱内流体晃荡问题的流体动力学数值模型,并利用FORTRAN语言开发了可模拟任意尺度液舱晃荡的程序。文中模拟了单向激励和横荡纵荡耦合激励下液舱晃荡问题,并将结果与解析解进行了对比。结果表明,数值解和解析解吻合很好,说明了该方法的准确性和有效性。

The traditional boundary element method has its disadvantage in simulating tank sloshing due to the singularity problem. To solve this problem, this paper proposed another method called DBIEM (desingularized boundary integral equation method). In this method, all the singular points are directly arranged on the outer surface of the computation domain. Based on DBIEM, the numerical model of sloshing problem is established. A program is developed by using FORTRAN based on DBIEM to simulate tank sloshing under one-way or coupled excitation. The result shows that the numerical results were very close to analytical solution, the accuracy and precision of this program is verified.