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arXiv 0907.2877cond-mat.soft
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一种滑移长度可调的格子Boltzmann模拟边界条件

A boundary condition with adjustable slip length for Lattice Boltzmann simulations

Nayaz Khalid Ahmed, Martin Hecht

摘要:

最近Hecht和Harting[arxiv:0811.4593]提出了格子玻尔兹曼模拟技术的速度边界条件。该边界条件与碰撞过程中的松弛过程无关,不含人工滑移。在这项工作中,这个边界条件扩展到模拟滑流。对扩展边界条件进行了检验,发现滑移长度与剪切速率和密度无关,与BGK松弛时间成正比。该方法被用来研究在Poisonille流和线性剪切流中的滑移。本文还研究了不同滑移参数的条纹图案壁,发现滑移长度随表面图案的变化呈现各向异性,模拟结果的角度依赖性与理论预期完全一致。结果证实,所提出的边界条件可以用于模拟滑移流微流体使用单弛豫时间格子玻尔兹曼,没有任何数值滑移,给出了二阶精度。

英文摘要:

A velocity boundary condition for the Lattice Boltzmann simulation technique has been proposed recently by Hecht and Harting[arxiv:0811.4593]. This boundary condition is independent of the relaxation process during collision and contains no artificial slip. In this work, this boundary condition is extended to simulate slip-flows. The extended boundary condition has been tested and it is found that the slip length is independent of the shear rate and the density, and proportional to the BGK relaxation time. The method is used to study slip in Poiseuille flow and in linear shear flow. Patterned walls with stripes of different slip parameters are also studied, and an anisotropy of the slip length in accordance with the surface pattern is found. The angle dependence of the simulation results perfectly agrees with theoretical expectations. The results confirm that the proposed boundary conditions can be used for simulating slip-flows in micro fluidics using single relaxation time lattice Boltzmann, without any numerical slip, giving an accuracy of the second order.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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