论文标题
关于基于相位的晶格boltzmann方法的界面力的表述
On the formulations of interfacial force in the phase-field-based lattice Boltzmann method
论文作者
论文摘要
在基于相位的晶格Boltzmann方法中，采用了不同的界面力公式，用于两相流。尽管它们在数学上是相同的，但由于离散化的截断错误，它们的数值性能可能有所不同。在本文中，比较并讨论了文献中可用的界面力的四种配方，即应力张量形式（STF），化学势形式（CPF），压力形式（PF）和连续性表面力（CSF）形式，并进行比较并讨论。模拟了一系列基准问题，包括固定液滴，两个合并的液滴，毛细血管波，剪切流中升高的气泡和下降变形。数值结果表明，CPF是小型表面变形问题的好选择，而STF则是动态问题的首选，STF和CSF都表现出良好的数值稳定性。
Different formulations of interfacial force have been adopted in phase-field-based lattice Boltzmann method for two-phase flows. Although they are identical mathematically, their numerical performances may be different due to truncation errors in the discretization. In this paper, four-type formulations of interfacial force available in the literature, namely stress tensor form (STF), chemical potential form (CPF), pressure form (PF) and continuum surface force (CSF) form, are compared and discussed. A series of benchmark problems, including stationary droplet, two merging droplets, Capillary wave, rising bubble and drop deformation in shear flow, are simulated. Numerical results show that CPF is a good choice for small surface deformation problems while STF is preferred for dynamical problems, both STF and CSF demonstrate good numerical stability.
