Modeling of fluid–solid interaction in granular media with coupled lattice Boltzmann/discrete element methods: application to piping erosion
Modeling of fluid–solid interaction in granular media with coupled lattice Boltzmann/discrete element methods: application to piping erosion
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DOI：
10.1002/nag.1109
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发表时间：
2013-04
影响因子：
4
通讯作者：
F. Lominé;L. Scholtès;L. Sibille;P. Poullain
中科院分区：
文献类型：
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作者：
F. Lominé;L. Scholtès;L. Sibille;P. Poullain
在本文中，我们提出了一种处理流固相互作用的数值方法，并模拟了土壤中遇到的颗粒-流体系统。该方法基于目前广泛应用于颗粒介质力学和流体力学的两种方法之间的耦合：离散元(DE)方法和格子Boltzmann(LB)方法。DE方法用于模拟颗粒间的相互作用，而LB方法用于描述间隙牛顿流体流动。在粒子运动作用于流体流动和相互作用的意义上，这里提出的耦合是完全的耦合。本文详细介绍了这两种方法以及耦合方案的原理。文中还详细介绍了水动力和力矩的确定，并对边界的处理进行了说明。最后，通过一个简单的管道冲刷算例说明了该耦合方法的有效性，证明了该方法是研究地质力学中耦合问题的一种很有前途的工具。版权所有©2011 John Wiley&Sons，Ltd.
In this article, we present a numerical method to deal with fluid–solid interactions and simulate particle–fluid systems as encountered in soils. This method is based on a coupling between two methods, now widely used in mechanics of granular media and fluid dynamics respectively: the discrete element (DE) method and the lattice Boltzmann (LB) method. The DE method is employed to model interactions between particles, whereas the LB method is used to describe an interstitial Newtonian fluid flow. The coupling presented here is a full one in the sense that particle motions act on fluid flow and reciprocally. This article presents in details each of the two methods and the principle of the coupling scheme. Determination of hydrodynamic forces and torques is also detailed, and the treatment of boundaries is explained. The coupled method is finally illustrated on a simple example of piping erosion, which puts in evidence that the combined LB–DE scheme constitutes a promising tool to study coupled problems in geomechanics. Copyright © 2011 John Wiley & Sons, Ltd.