A practical numerical framework for free surface flows based on CLSVOF method, multi-moment methods and density-scaled CSF model: Numerical simulations of droplet splashing
A practical numerical framework for free surface flows based on CLSVOF method, multi-moment methods and density-scaled CSF model: Numerical simulations of droplet splashing
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DOI：
10.1016/j.jcp.2012.08.034
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
K. Yokoi
中科院分区：
文献类型：
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作者：
K. Yokoi
我们提出了一个具有表面张力的自由表面流动的实用数值框架。数值框架包括CLSVOF(耦合水平集和流体体积)方法、THINC/WLIC(界面捕捉/加权线界面计算双曲线正切)格式、多矩方法(CIP-CSL和VSIAM3)和密度尺度连续面力模型。在水平集方法的基础上，提出了一种有效的密度尺度CSF模型的实现算法和曲率内插技术。通过三个基准问题(平衡下降、Rayleigh-Taylor不稳定性和单气泡上升)以及与液滴飞溅实验的比较，验证了该框架的有效性。数值框架可以很好地捕捉具有复杂界面几何形状的自由面流动，如液滴飞溅。所提出的表面力算法，特别是基于水平集的曲率插值技术，在复杂界面自由表面流动的数值模拟中起着关键的作用。
We propose a practical numerical framework for free surface flows with surface tension force. The numerical framework consists of the CLSVOF (coupled level set and volume-of-fluid) method, the THINC/WLIC (tangent of hyperbola for interface capturing/weighted line interface calculation) scheme, multi-moment methods (CIP-CSL and VSIAM3) and the density-scaled CSF (continuum surface force) model. We also propose an efficient implementation algorithms of the density-scaled CSF model and a curvature interpolation technique, based on the level set method. The framework is validated through three benchmark problems (equilibrium drop, Rayleigh–Taylor instability and single bubble rising) and comparisons with an experiment of droplet splashing. The numerical framework can well capture free surface flows with complex interface geometries like droplet splashing. The proposed surface force algorithms, especially the level set based curvature interpolation technique, play a key role in numerical simulations of free surface flows with complex interface geometries.