Moment‐based boundary conditions for straight on‐grid boundaries in three dimensional lattice Boltzmann simulations,International Journal for Numerical Methods in Fluids

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Moment‐based boundary conditions for straight on‐grid boundaries in three dimensional lattice Boltzmann simulations
International Journal for Numerical Methods in Fluids ( IF 1.7 ) Pub Date : 2020-06-02 , DOI: 10.1002/fld.4856
Ivars Krastins ₁ , Andrew Kao ₂ , Koulis Pericleous ₂ , Timothy Reis ₂

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In this article, moment‐based boundary conditions for the lattice Boltzmann method are extended to three dimensions. Boundary conditions for velocity and pressure are explicitly derived for straight on‐grid boundaries for the D3Q19 lattice. The method is compared against the bounce‐back scheme using both single and two relaxation time collision schemes. The method is verified using classical benchmark test cases. The results show very good agreement with the data found in the literature. It is confirmed from the results that the derived moment‐based boundary scheme is of second‐order accuracy in grid spacing and does not produce numerical slip, and therefore offers a transparent way of accurately prescribing velocity and pressure boundaries that are aligned with grid points in three‐dimensional.

中文翻译：

三维格子 Boltzmann 模拟中直线网格边界的基于矩的边界条件

在本文中，格子 Boltzmann 方法的基于矩的边界条件扩展到三个维度。速度和压力的边界条件是为 D3Q19 晶格的直线网格边界明确导出的。该方法与使用单个和两个弛豫时间碰撞方案的反弹方案进行了比较。该方法使用经典的基准测试用例进行验证。结果显示与文献中发现的数据非常一致。结果证实，导出的基于矩的边界方案在网格间距上具有二阶精度，并且不会产生数值滑移，因此提供了一种准确规定与网格点对齐的速度和压力边界的透明方法。三维。

更新日期：2020-06-02

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