A non-linear lattice-Boltzmann model for ideal miscible fluids
A non-linear lattice-Boltzmann model for ideal miscible fluids
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DOI：
10.1016/j.future.2003.12.006
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发表时间：
2004-08
期刊：
影响因子：
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通讯作者：
P. C. Facin;P. Philippi;L. Santos
中科院分区：
文献类型：
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作者：
P. C. Facin;P. Philippi;L. Santos
这项工作涉及理想混溶流体的格子玻尔兹曼 (LB) 模型的构建。在这种特殊情况下，LB 方程中的碰撞项可以通过仅考虑相同和不同种类粒子之间的相互碰撞和交叉碰撞来建模。提出了一种具有三个不同弛豫时间的非线性 LB 模型，旨在用于解决具有大浓度梯度的问题。该模型能够独立管理流体粘度 μr 和 μband 二元扩散率 D 。结果表明，质量和动量始终保持不变，并且在不可压缩极限下获得一致的流体动力学方程。将通过 Chapman-Enskog 分析获得的二元扩散率和混合物粘度的理论值与直接从 LB 模拟获得的数值进行比较。
This work is concerned with the construction of a lattice-Boltzmann (LB) model for ideal miscible fluids. In this particular case, the collision term in the LB equation can be modelled by only considering mutual and cross collisions between, respectively, particles of the same and of different kinds. A non-linear LB model with three distinct relaxation times intended to be used in problems with large concentration gradients is presented. The model enables the independent management of the fluid viscosities μrand μband binary diffusivity D . It is shown that mass and momentum are, always, preserved and that consistent hydrodynamic equations are obtained at the incompressible limit. Theoretical values, obtained from Chapman–Enskog analysis, for binary diffusivity and mixture viscosity are compared with numerical values, directly obtained from LB simulations.