Phase-field-based lattice Boltzmann model for axisymmetric multiphase flows.
Phase-field-based lattice Boltzmann model for axisymmetric multiphase flows.
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DOI：
10.1103/physreve.90.063311
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发表时间：
2014-12
期刊：
影响因子：
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通讯作者：
H. Liang;Z. Chai;B. Shi;Zhaoli Guo;T. Zhang
中科院分区：
文献类型：
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作者：
H. Liang;Z. Chai;B. Shi;Zhaoli Guo;T. Zhang
本文提出了一种基于相场的格子Boltzmann（LB）模型来描述轴对称多相流。在发展方程中适当地加入修正的平衡分布函数和源项，使之能在轴对称坐标系中描述多相流。与以往的轴对称LB多相模型不同，由于轴对称效应而产生的附加源项不包含附加梯度，因此本模型更为简单。进一步，通过Chapmann-Enskog分析，本文模型可以精确地导出轴对称的Chan-Hilliard方程和Navier-Stokes方程。该模型还能够处理具有密度差的流动。各种数值实验，包括平面和曲线接口，伸长场，静态液滴，液滴振荡，液体线程的破裂，和液滴在重力下的滴落，已经进行了测试所提出的模型。结果表明，该模型能够准确捕捉界面，多相流的数值计算结果与解析解和实验数据吻合较好。
In this paper, a phase-field-based lattice Boltzmann (LB) model is proposed for axisymmetric multiphase flows. Modified equilibrium distribution functions and some source terms are properly added into the evolution equations such that multiphase flows in the axisymmetric coordinate system can be described. Different from previous axisymmetric LB multiphase models, the added source terms that arise from the axisymmetric effect contain no additional gradients, and therefore the present model is much simpler. Furthermore, through the Chapmann-Enskog analysis, the axisymmetric Chan-Hilliard equation and Navier-Stokes equations can be exactly derived from the present model. The model is also able to deal with flows with density contrast. A variety of numerical experiments, including planar and curve interfaces, an elongation field, a static droplet, a droplet oscillation, breakup of a liquid thread, and dripping of a liquid droplet under gravity, have been conducted to test the proposed model. It is found that the present model can capture accurate interface and the numerical results of multiphase flows also agree well with the analytical solutions and/or available experimental data.