Smooth particle hydrodynamics simulations of low Reynolds number flows through porous media

Smooth particle hydrodynamics simulations of low Reynolds number flows through porous media
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DOI:
10.1002/nag.898
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发表时间:
2011-03-01
影响因子:
4
通讯作者:
Tilke, Peter
Tilke, Peter
中科院分区:
工程技术2区
文献类型:
--
作者:
Holmes, David W.;Williams, John R.;Tilke, Peter

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本文提出了一个三维光滑颗粒流体力学(SPH)模拟器,用于模拟多孔介质中颗粒尺度流体的流动。SPH方法的多功能性推动了其在日益复杂的流动分析领域的应用,包括地下水和油藏研究中渗透性岩石的流动特征。SPH提供了模拟这种介质中复杂多相流的方法;然而,由于文献中明显缺乏实际验证,特别是在三维情况下,这种方法的接受受到阻碍。在本文中,通过与Sangani和Acrivos (Int.)等作者先前公认的基准进行比较,解决了SPH的准确性。J.多相流;杨建军,刘建军。流体力学与工程学报。2008;33(4):343- 356)。流体A 1989;1(1): 38-46)的经典问题,通过理想的二维和三维多孔介质流动。这种低雷诺数流动结果的准确性高度依赖于无滑移边界条件的实现。提出了一种新的、鲁棒的、数值高效的SPH边界实现方法。摩擦系数和渗透率的模拟结果与现有基准吻合较好。版权所有John Wiley & Sons, Ltd。
In this paper, a three-dimensional smooth particle hydrodynamics (SPH) simulator for modeling grain scale fluid flow in porous media is presented. The versatility of the SPH method has driven its use in increasingly complex areas of flow analysis, including the characterization of flow through permeable rock for both groundwater and petroleum reservoir research. SPH provides the means to model complex multi-phase flows through such media; however, acceptance of the methodology has been hampered by the apparent lack of actual verification within the literature, particulary in the three-dimensional case. In this paper, the accuracy of SPH is addressed via a comparison to the previously recognized benchmarks of authors such as Sangani and Acrivos (Int. J. Multiphase Flow 1982; 8(4): 343-360), Zick and Homsy (J. Fluid Mech. 1982; 115: 13-26) and Larson and Higdon (Phys. Fluids A 1989; 1(1): 38-46) for the well-defined classical problems of flow through idealized two-and three-dimensional porous media. The accuracy of results for such low Reynolds number flows is highly dependent on the implementation of no-slip boundary conditions. A new, robust and numerically efficient, method for implementing such boundaries in SPH is presented. Simulation results for friction coefficient and permeability are shown to agree well with the available benchmarks. Copyright (C) 2010 John Wiley & Sons, Ltd.