A new particle method for simulation of incompressible free surface flow problems
A new particle method for simulation of incompressible free surface flow problems
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DOI：
10.1002/nme.3303
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发表时间：
2012-03
影响因子：
2.9
通讯作者：
C. Koh;M. Gao;C. Luo
中科院分区：
文献类型：
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作者：
C. Koh;M. Gao;C. Luo
本文提出了一种新的拉格朗日粒子方法，称为一致粒子方法（CPM），它可以在半隐式时间步长方案中求解纳维-斯托克斯方程。偏微分算子不是像某些粒子方法中那样使用核函数，而是以与泰勒级数展开一致的方式进行近似。应用边界粒子识别方法来帮助定义变化的液体域。自由表面粒子的不可压缩条件通过调整方案来强制执行。通过这些改进，CPM 在自由表面流的长时间模拟中表现出稳健和准确，特别是对于平滑的压力求解。提出了两种类型的自由表面流问题来验证 CPM，即二维溃坝和矩形水箱中的液体晃动。在溃坝示例中，压力和波高的 CPM 解与已发表的实验结果非常吻合。此外，还进行了摇床上罐内水晃动的实验研究来验证CPM解决方案。版权所有 © 2011 约翰·威利父子有限公司
A new Lagrangian particle method called the consistent particle method (CPM), which solves the Navier–Stokes equations in a semi‐implicit time stepping scheme, is proposed in this paper. Instead of using kernel function as in some particle methods, partial differential operators are approximated in a way consistent with Taylor series expansion. A boundary particle recognition method is applied to help define the changing liquid domain. The incompressibility condition of free surface particles is enforced by an adjustment scheme. With these improvements, the CPM is shown to be robust and accurate in long time simulation of free surface flow particularly for smooth pressure solution. Two types of free surface flow problems are presented to verify the CPM, that is, two‐dimensional dam break and liquid sloshing in a rectangular tank. In the dam break example, the CPM solutions of pressure and wave elevation are in good agreement with published experimental results. In addition, an experimental study of water sloshing in tank on a shake table was conducted to verify the CPM solutions. Copyright © 2011 John Wiley & Sons, Ltd.