Multiphase smoothed particle hydrodynamics modeling of forced liquid sloshing,International Journal for Numerical Methods in Fluids

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Multiphase smoothed particle hydrodynamics modeling of forced liquid sloshing
International Journal for Numerical Methods in Fluids ( IF 1.7 ) Pub Date : 2020-07-08 , DOI: 10.1002/fld.4889
Bo Xue Zheng _{1,

2} , Lei Sun _{1,

2} , Zhen Chen ₃ , Cong Cheng _{1,

2} , Chang Feng Liu ₄

Affiliation

In the present paper, an improved multiphase weakly compressible smoothed particle hydrodynamics model for balancing the accuracy and stability of the long‐term simulations is proposed to model the forced liquid sloshing in a tank. The governing equations of the multiphase flow are discretized by considering the density discontinuity over the interface. To suppress the pressure oscillation, a previous density correction term suitable only for single‐phase problems is modified and incorporated into the discrete continuity equation to suit multiphase problems. The modified density reinitialization algorithm is implemented to calculate the pressure of the boundary particles, and the coupled dynamic solid boundary treatment (SBT) is employed to determine the rigid wall condition. For convenience, a numerical probe algorithm is also proposed to accurately measure the wave height. The present model exhibits a better numerical stability than the previous multiphase smoothed particle hydrodynamics model, and its results well confirm with the experimental data of the forced sloshing of liquid excited by swaying or rolling.

中文翻译：

强迫液体晃荡的多相光滑颗粒流体动力学模型

本文提出了一种改进的多相弱可压缩光滑颗粒流体动力学模型，以平衡长期模拟的准确性和稳定性，以模拟罐中的强迫液体晃荡。考虑界面上的密度不连续性，可以离散化多相流的控制方程。为了抑制压力振荡，修改了仅适用于单相问题的先前的密度校正项，并将其合并到离散连续性方程中以适应多相问题。实施改进的密度重新初始化算法以计算边界颗粒的压力，并采用耦合动态固体边界处理（SBT）确定刚性壁条件。为了方便，还提出了一种数值探测算法来精确测量波高。与先前的多相平滑颗粒流体动力学模型相比，该模型具有更好的数值稳定性，其结果很好地证实了通过摇摆或滚动激发液体强迫晃荡的实验数据。

更新日期：2020-07-08

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