Simulation of Bubble Motion under Gravity by Lattice Boltzmann Method
Simulation of Bubble Motion under Gravity by Lattice Boltzmann Method
复制标题
DOI：
10.1080/18811248.2001.9715037
复制
发表时间：
2001-05
影响因子：
1.2
通讯作者：
N. Takada;M. Misawa;A. Tomiyama;S. Hosokawa
中科院分区：
文献类型：
--
作者：
N. Takada;M. Misawa;A. Tomiyama;S. Hosokawa
采用格子Boltzmann方法（LBM）对重力作用下的气泡运动进行了数值模拟，该方法假定流体是由介观流体粒子反复碰撞和平移组成的，通过粒子间的排斥作用自组织地再现了多相界面.在这项研究中的目的是检查LBM的气泡运动的数值分析的适用性，并开发一个三维版本的二元流体模型，引入了自由能函数。我们包括浮力项，由于密度差的格子玻尔兹曼方程，并模拟单和双气泡运动，根据Eötvös和莫顿数设置流动条件。二维数值模拟结果与基于Navier-Stokes方程的流体体积法计算结果一致。三维模型具有满足拉普拉斯定律的表面张力，再现了圆管中单个气泡的运动和两气泡相互接近、聚并的相互作用。这些结果表明，本文提出的浮力项和三维模型是合适的，LBM是用于重力作用下气泡运动的数值分析。
We describe the numerical simulation results of bubble motion under gravity by the lattice Boltzmann method(LBM), which assumes that a fluid consists of mesoscopic fluid particles repeating collision and translation and a multiphase interface is reproduced in a self-organizing way by repulsive interaction between different kinds of particles. The purposes in this study are to examine the applicability of LBM to the numerical analysis of bubble motions, and to develop a three-dimensional version of the binary fluid model that introduces a free energy function. We included the buoyancy terms due to the density difference in the lattice Boltzmann equations, and simulated single- and two-bubble motions, setting flow conditions according to the Eötvös and Morton numbers. The two-dimensional results by LBM agree with those by the Volume of Fluid method based on the Navier-Stokes equations. The three-dimensional model possesses the surface tension satisfying the Laplace's law, and reproduces the motion of single bubble and the two- bubble interaction of their approach and coalescence in circular tube. These results prove that the buoyancy terms and the 3D model proposed here are suitable, and that LBM is useful for the numerical analysis of bubble motion under gravity.