Extended lattice Boltzmann method for numerical simulation of thermal phase change in two-phase fluid flow.
Extended lattice Boltzmann method for numerical simulation of thermal phase change in two-phase fluid flow.
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DOI：
10.1103/physreve.88.013304
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发表时间：
2013-07
期刊：
影响因子：
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通讯作者：
H. Safari;M. Rahimian;M. Krafczyk
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文献类型：
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作者：
H. Safari;M. Rahimian;M. Krafczyk
本文提出了一种基于多相格子Boltzmann框架的方法，该方法适用于汽液相变现象。假设液相和气相都是不可压缩的。对于发生在相界面处的相变，由于蒸发产生的气体体积或冷凝产生的流体体积，不再满足速度场的无发散条件。因此，我们通过一个合适的方程来解释界面区域内速度场的有限发散，从而扩展了以前的模型。此外，对流Cahn-Hilliard方程扩展到考虑蒸发效应。在第一步中，D1 Q3 LB模型的构造和验证对不同密度比的一维Stefan问题的解析解。最后将该模型扩展到二维（D2 Q9）来模拟液滴蒸发。我们证明，通过这种方法得到的结果与理论吻合得很好。
In this article, a method based on the multiphase lattice Boltzmann framework is presented which is applicable to liquid-vapor phase-change phenomena. Both liquid and vapor phases are assumed to be incompressible. For phase changes occurring at the phase interface, the divergence-free condition of the velocity field is no longer satisfied due to the gas volume generated by vaporization or fluid volume generated by condensation. Thus, we extend a previous model by a suitable equation to account for the finite divergence of the velocity field within the interface region. Furthermore, the convective Cahn-Hilliard equation is extended to take into account vaporization effects. In a first step, a D1Q3 LB model is constructed and validated against the analytical solution of a one-dimensional Stefan problem for different density ratios. Finally the model is extended to two dimensions (D2Q9) to simulate droplet evaporation. We demonstrate that the results obtained by this approach are in good agreement with theory.