Lattice Boltzmann methods for viscous fluid flows and for two-phase fluid flows
Lattice Boltzmann methods for viscous fluid flows and for two-phase fluid flows
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DOI：
10.1016/j.fluiddyn.2006.02.007
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发表时间：
2006-09
影响因子：
1.5
通讯作者：
T. Inamuro
中科院分区：
文献类型：
--
作者：
T. Inamuro
介绍了求解粘性流体和两相流体流动的格子Boltzmann方法。首先，描述了不可压缩粘性流体流动和温度场的LBM。然后，我们推导出一个晶格动力学方案（LKS），这是一个改进的计划的LBM。LKS不需要任何速度分布函数，比LBM更稳定。此外，还介绍了两相流的LBM。该方法可以模拟密度比高达1000的流动。文中给出了三维多孔结构中的非定常流动、二元液滴碰撞和方管内气泡上升的数值算例。预计LBM（和LKS）将成为模拟复杂流体流动的有前途的数值方案。
Lattice Boltzmann methods (LBMs) for viscous fluid flows and for two-phase fluid flows are presented. First, the LBMs for incompressible viscous fluid flows and for temperature fields are described. Then, we derive a lattice kinetic scheme (LKS) which is an improved scheme of the LBM. The LKS does not require any velocity distribution functions and is more stable than the LBMs. In addition, the LBM for two-phase fluid flows is presented. The method can simulate flows with the density ratio up to 1000. Numerical examples of unsteady flows in a three-dimensional porous structure, binary droplet collision and rising bubbles in a square duct are illustrated. It is expected that the LBMs (and LKS) will become promising numerical schemes for simulating complex fluid flows.