Purpose

The lattice Boltzmann simulation of fluid flow in partial porous geometries with curved porous-fluid interfaces has not been investigated yet. It is mainly because of the lack of a method in the lattice Boltzmann framework to model the hydrodynamic compatibility conditions at curved porous-fluid interfaces, which is required for the two-domain approach. Therefore, the purpose of this study is to develop such a method.

Design/methodology/approach

This research extends the non-equilibrium extrapolation lattice Boltzmann method for satisfying no-slip conditions at curved solid boundaries, to model hydrodynamic compatibility conditions at curved porous-fluid interfaces.

Findings

The proposed method is tested against the results available from conventional numerical methods via the problem of fluid flow through and around a porous circular cylinder in crossflow. As such, streamlines, geometrical characteristics of recirculating wakes and drag coefficient are validated for different Reynolds (5 ≤ Re ≤ 40) and Darcy (10⁻⁵ ≤ Da ≤ 5 × 10⁻¹) numbers. It is also shown that without applying any compatibility conditions at the interface, the predicted flow structure is not satisfactory, even for a very fine mesh. This result highlights the importance of the two-domain approach for lattice Boltzmann simulation of the fluid flow in partial porous geometries with curved porous-fluid interfaces.

Originality/value

No research is found in the literature for applying the hydrodynamic compatibility conditions at curved porous-fluid interfaces in the lattice Boltzmann framework.

中文翻译：

---

用于模拟弯曲多孔流体界面处的流体动力学相容性条件的格子 Boltzmann 非平衡外推法

目的

尚未研究具有弯曲多孔流体界面的部分多孔几何结构中流体流动的晶格 Boltzmann 模拟。这主要是因为在晶格 Boltzmann 框架中缺乏一种方法来模拟弯曲多孔流体界面处的流体动力学相容性条件，这是双域方法所必需的。因此，本研究的目的是开发这样一种方法。

设计/方法/方法

本研究扩展了满足弯曲固体边界处无滑移条件的非平衡外推格子玻尔兹曼方法，以模拟弯曲多孔流体界面处的流体动力学相容性条件。

发现

所提出的方法通过流体在交叉流中通过和围绕多孔圆柱体流动的问题，与传统数值方法的可用结果进行了测试。因此，流线、再循环尾流的几何特征和阻力系数针对不同的雷诺数 (5 ≤  Re  ≤ 40) 和达西 (10 ^-5 ≤ Da ≤ 5 × 10 ^-1 ) 数进行验证。还表明，如果没有在界面上应用任何兼容性条件，即使对于非常细的网格，预测的流动结构也不令人满意。该结果突出了双域方法对具有弯曲多孔流体界面的部分多孔几何结构中的流体流动进行晶格 Boltzmann 模拟的重要性。

原创性/价值

在文献中没有发现在晶格 Boltzmann 框架中的弯曲多孔流体界面处应用流体动力学相容性条件的研究。