Large eddy simulation of multiphase flows using the volume of fluid method: Part 1—Governing equations and a priori analysis
Large eddy simulation of multiphase flows using the volume of fluid method: Part 1—Governing equations and a priori analysis
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DOI：
10.1007/s42757-019-0019-9
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发表时间：
2019-05
期刊：
影响因子：
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通讯作者：
M. Klein;S. Ketterl;J. Hasslberger
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文献类型：
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作者：
M. Klein;S. Ketterl;J. Hasslberger
与已成为成熟可行的湍流模拟技术的单相流大涡模拟(LES)相比，具有运动非混溶界面的两相流大涡模拟还处于较早的发展阶段。对于两相流LES，没有一套标准的控制方程，而是有各种不同的公式，每一种都有优缺点。本文详细讨论和分析了流体体积法背景下的两相流大涡模拟的控制方程，以及对不同未知项的合适的亚网格尺度闭合。特别关注的是动量方程的Favre滤波单流体形式，但也与平衡方程的滤波型和体积平均型进行了比较。讨论了不同方法之间的差异和共同点，并基于对显式过滤的直接数值模拟数据的先验分析，确定了适用于后验分析的闭合模型。
Compared to Large Eddy Simulation (LES) of single-phase flows, which has become a mature and viable turbulence modelling technique, the LES of two-phase flows with moving immiscible interfaces is at a rather early development stage. There is no standard set of governing equations for two-phase flow LES, but rather a variety of different formulations, all with advantages and disadvantages. This paper discusses and analyses in detail the governing equations for two-phase flow LES in the context of the Volume of Fluid method, as well as suitable Subgrid Scale closures for the different unknown terms. A particular focus is on the Favre filtered one fluid formulation of the momentum equations, but a comparison with the filtered and the volume averaged version of the balance equations is made as well. Differences and commonalities between the different approaches are discussed and, based on a priori analysis of explicitly filtered Direct Numerical Simulation data, suitable closure models for a posteriori analysis are identified.