A lattice Boltzmann method for axisymmetric multicomponent flows with high viscosity ratio
A lattice Boltzmann method for axisymmetric multicomponent flows with high viscosity ratio
复制标题
高粘度比轴对称多组分流的格子玻尔兹曼法
DOI：
10.1016/j.jcp.2016.10.007
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发表时间：
2016-12
影响因子：
4.1
通讯作者：
Yonghao Zhang
中科院分区：
文献类型：
--
作者：
Haihu Liu;Lei Wu;Yan Ba;Guang Xi;Yonghao Zhang
提出了一种颜色梯度格子玻尔兹曼方法（LBM）来模拟轴对称多组分流。该方法使用的碰撞算子是三个独立部分的组合，即单分量碰撞算子、扰动算子和重着色算子。将源项添加到单分量碰撞算子中，以便在每个单分量区域中可以精确地恢复轴对称连续性和动量方程。界面张力效应是通过微扰算子实现的，其中利用连续表面力的概念推导出轴对称形式的界面力。 Latva-Kokko 和 Rothman 提出的重着色算子扩展到轴对称情况，用于相分离和界面维护。为了提高该方法处理高粘度二元流体的数值稳定性，碰撞算子采用了多重弛豫时间模型。提出了几个数值示例，包括静态液滴测试、粘性液滴的振荡和液线的破裂，以测试所提出的颜色梯度 LBM 的能力和准确性。发现本方法能够准确捕获相界面并产生低杂散速度。此外，LBM 结果与非常广泛的粘度比范围内的解析解和/或可用实验数据非常一致。
A color-gradient lattice Boltzmann method (LBM) is proposed to simulate axisymmetric multicomponent flows. This method uses a collision operator that is a combination of three separate parts, namely single-component collision operator, perturbation operator, and recoloring operator. A source term is added into the single-component collision operator such that in each single-component region the axisymmetric continuity and momentum equations can be exactly recovered. The interfacial tension effect is realized by the perturbation operator, in which an interfacial force of axisymmetric form is derived using the concept of continuum surface force. A recoloring operator proposed by Latva-Kokko and Rothman is extended to the axisymmetric case for phase segregation and maintenance of the interface. To enhance the method's numerical stability for handling binary fluids with high viscosity ratio, a multiple-relaxation-time model is used for the collision operator. Several numerical examples, including static droplet test, oscillation of a viscous droplet, and breakup of a liquid thread, are presented to test the capability and accuracy of the proposed color-gradient LBM. It is found that the present method is able to accurately capture the phase interface and produce low spurious velocities. Also, the LBM results are all in good agreement with the analytical solutions and/or available experimental data for a very broad range of viscosity ratios.
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影响因子：
4.1
作者：
S. O. Unverdi;G. Tryggvason
通讯作者：
S. O. Unverdi;G. Tryggvason
DOI：
10.1016/j.jcp.2010.07.007
发表时间：
2010-10
期刊：
J. Comput. Phys.
影响因子：
--
作者：
Taehun Lee;Lin Liu
通讯作者：
Taehun Lee;Lin Liu
影响因子：
2.9
作者：
GUNSTENSEN, AK;ROTHMAN, DH;ZANETTI, G
通讯作者：
ZANETTI, G
影响因子：
2.4
作者：
Latva-Kokko, M;Rothman, DH
通讯作者：
Rothman, DH
大粘度差两相流接触角及其滞后的格子玻尔兹曼模型
影响因子：
2.4
作者：
Liu, Haihu;Ju, Yaping;Zhang, Yonghao
通讯作者：
Zhang, Yonghao