A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability
A lattice Boltzmann scheme for incompressible multiphase flow and its application in simulation of Rayleigh-Taylor instability
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DOI：
10.1006/jcph.1999.6257
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发表时间：
1999-07-01
影响因子：
4.1
通讯作者：
Zhang, RY
中科院分区：
文献类型：
--
作者：
He, XY;Chen, SY;Zhang, RY
在这篇文章中，我们提出了一种新的格子Boltzmann格式来模拟近不可压缩极限下的多相流。新方案基于分布函数模拟流体流动。界面动力学，如相分离和表面张力，是通过考虑分子相互作用来模拟的。格子Boltzmann方程是由连续Boltzmann方程导出的，具有适合不可压缩流动的适当近似。通过减小分子相互作用计算中数值误差的影响，提高了数值稳定性。指数函数用于跟踪不同阶段之间的界面。对二维瑞利-泰勒不稳定性的模拟得到了令人满意的结果。在整个模拟过程中，界面厚度保持在3-4个网格间距，而无需人工重建步骤。(C)1999年学术出版社。
In this pager, we propose a new lattice Boltzmann scheme for simulation of multiphase flow in the nearly incompressible limit. The new scheme simulates fluid flows based on distribution functions. The interfacial dynamics, such as phase segregation and surface tension, are modeled by incorporating molecular interactions. The lattice Boltzmann equations are derived from the continuous Boltzmann equation with appropriate approximations suitable for incompressible flow. The numerical stability is improved by reducing the effect of numerical errors in calculation of molecular interactions. An index function is used to track interfaces between different phases. Simulations of the two-dimensional Rayleigh-Taylor instability yield satisfactory results. The interface thickness is maintained at 3-4 grid spacings throughout simulations without artificial reconstruction steps. (C) 1999 Academic Press.