Abstract Simulation of pore-scale porous media flows is generally considered to be a non-trivial task due to the complicacy of geometry structures involved. In the recent decades, the mesoscopic scheme of lattice Boltzmann equation (LBE), combined with the inherent half-way (HW) bounce-back boundary method has been proved to efficiently handle those complex flows. More recently, a new mesoscopic method called discrete unified gas kinetic scheme (DUGKS) is proposed in the literature, which is partially derived from the LBE. In view of that, the HW-type boundary approach is introduced to the DUGSK in this study, which is accomplished within the framework of the ghost-cell (GC) method. The HWGC-DUGKS is then developed for extending the application of DUGKS to the complex flows in the porous media. The simulations of the cylindrical Couette flow, flow through a square array of cylinders and flow in the random porous media are performed to validate the present HWGC-DUGKS. The results demonstrate the accuracy and feasibility of the method for pore-scale porous media flows, and the non-uniform mesh and rarefied effect can be conveniently incorporated into the method.

中文翻译：

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离散统一气体动力学方案的中途方法在模拟孔隙尺度多孔介质流动中的应用

摘要 由于所涉及的几何结构的复杂性，孔隙尺度多孔介质流动的模拟通常被认为是一项重要的任务。近几十年来，格子玻尔兹曼方程 (LBE) 的细观方案与固有的中途 (HW) 反弹边界方法相结合已被证明可以有效地处理这些复杂的流动。最近，文献中提出了一种称为离散统一气体动力学方案 (DUGKS) 的新细观方法，该方法部分源自 LBE。鉴于此，本研究将 HW 型边界方法引入 DUGSK，该方法是在鬼细胞 (GC) 方法的框架内完成的。然后开发 HWGC-DUGKS 以将 DUGKS 的应用扩展到多孔介质中的复杂流动。圆柱库埃特流的模拟，流经方形圆柱阵列并在随机多孔介质中流动以验证当前的 HWGC-DUGKS。结果证明了该方法对孔隙尺度多孔介质流动的准确性和可行性，并且可以方便地将非均匀网格和稀薄效应纳入该方法。