A mass-conserved fractional step axisymmetric lattice Boltzmann flux solver for incompressible multiphase flows with large density ratio
A mass-conserved fractional step axisymmetric lattice Boltzmann flux solver for incompressible multiphase flows with large density ratio
复制标题
大密度比不可压缩多相流的质量守恒分步轴对称格子玻尔兹曼通量求解器
DOI：
10.1063/5.0022050
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发表时间：
2020-10
影响因子：
4.6
通讯作者：
Guoxiang Hou
中科院分区：
文献类型：
--
作者：
Liuming Yang;Chang Shu;Yang Yu;Yan Wang;Guoxiang Hou
大多数传统的轴对称多相格子Boltzmann方法涉及复杂的外部源项来模拟轴对称效应。此外，各相质量守恒的破坏和模拟密度比的限制仍然是关键问题。为了消除这些缺点，质量守恒的分数步轴对称多相格子Boltzmann通量求解器开发的大密度比的流动。我们的目标是自然地结合联合收割机开发的修改后的Cahn-Hilliard方程与一个小的质量修正项，格子Boltzmann通量求解器，和分步方法一起模拟轴对称多相流。将轴对称框架中的控制方程分解为预测步和校正步。在不考虑轴对称效应和质量修正项的情况下，采用基于格子Boltzmann方法局部应用的有限体积多相格子Boltzmann通量求解器求解预测步骤。然后，进行校正步骤以包括轴对称效应和质量校正项。具体地说，质量修正项的数值实现是在轴对称框架下设计的。通过几个轴对称多相流的算例，包括拉普拉斯定律、液滴振荡、球形气泡合并以及微液滴撞击干疏水平板等，验证了该方法的准确性和可靠性。对拉普拉斯定律和液滴振荡的计算结果表明，在一个时间步长内，用本文方法求解修正的Cahn-Hilliard方程比五阶迎风格式节省约46%的计算时间.
Most conventional axisymmetric multiphase lattice Boltzmann methods involve complicated external source terms to model the axisymmetric effect. Besides, the break of mass conservation for each phase and the limitation of the simulated density ratio are still critical issues. To remove these drawbacks, a mass-conserved fractional step axisymmetric multiphase lattice Boltzmann flux solver is developed for flows with a large density ratio. We aim to naturally combine the developed modified Cahn-Hilliard equation with a small mass correction term, the lattice Boltzmann flux solver, and the fractional step method together for the simulation of the axisymmetric multiphase flows. The governing equations in the axisymmetric framework are split into the predictor and corrector steps. The predictor step without considering the axisymmetric effect and the mass correction term is solved by the finite-volume multiphase lattice Boltzmann flux solver based on the local application of the lattice Boltzmann method. Then, the corrector step is performed to include the axisymmetric effect and the mass correction term. Specifically, the numerical implementation of the mass correction term is designed in the axisymmetric framework. Several axisymmetric multiphase cases, including the Laplace law, the droplet oscillation, merging spherical bubbles, and micro-droplet impacting on a dry hydrophobic plate, have been adopted to demonstrate the accuracy and reliability of the proposed method. The results of the Laplace law and the droplet oscillation show that for one time step, solving the modified Cahn-Hilliard equation by our method can save about 46% of the computational time as compared with the fifth-order upwind scheme.
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DOI：
10.1016/j.ijheatmasstransfer.2016.10.032
发表时间：
2017-02
影响因子：
5.2
作者：
Zhen Chen;C. Shu;D. Tan
通讯作者：
Zhen Chen;C. Shu;D. Tan
DOI：
10.1080/10407790.2015.1096682
发表时间：
2016-01
期刊：
Numerical Heat Transfer, Part B: Fundamentals
影响因子：
--
作者：
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通讯作者：
Y. Wang;C. Shu;C. J. Teo;L. M. Yang
DOI：
10.1016/j.jcp.2010.07.007
发表时间：
2010-10
期刊：
J. Comput. Phys.
影响因子：
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作者：
Taehun Lee;Lin Liu
通讯作者：
Taehun Lee;Lin Liu
影响因子：
1.4
作者：
Changsheng Huang;B. Shi;N. He;Z. Chai
通讯作者：
Changsheng Huang;B. Shi;N. He;Z. Chai
高粘度比轴对称多组分流的格子玻尔兹曼法
影响因子：
4.1
作者：
Haihu Liu;Lei Wu;Yan Ba;Guang Xi;Yonghao Zhang
通讯作者：
Yonghao Zhang