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首页> 外文期刊>Philosophical transactions of the Royal Society. Mathematical, physical, and engineering sciences >Mesoscale dynamic coupling of finite- and discrete-element methods for fluid-particle interactions
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Mesoscale dynamic coupling of finite- and discrete-element methods for fluid-particle interactions

机译：有限元和离散元方法在流体-颗粒相互作用中的中尺度动态耦合

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摘要

A new method for two-way fluid-particle coupling on an unstructured mesoscopically coarse mesh is presented. In this approach, we combine a (highter order) finite-element method (FEM) on the moving mesh for the fluid with a soft sphere discrete element method for the particles. The novel feature of the proposed scheme is that the FEM mesh is a dynamic Delaunay triangulation based on the positions of the moying particles. Thus, the mesh can be multi-purpose: it provides (i) a framework for the discretization of the Navier-Stokes equations, (ii) a simple tool for detecting contacts between moving particles, (iii) a basis for coarse-graining or upscaling, and (iv) coupling with other physical, fields (temperature, electromagnetic, etc.) This approach is suitable for a wide range of dilute and dense particulate flows, because the mesh resolution adapts with particle density in a given region. Two-way momentum exchange is implemented using semiempirical drag laws akin to other popular approaches; for example, the discrete particle method, where a finite-volume solver on a coarser, fixed grid is used. We validate the methodology with several basic test cases, includine single- and double-particle settling with analytical and empirical expectahons, and flow through, ordered and random porous media, when compared against finely resolved FEM simulations of flow through fixed arrays of particles.
机译：提出了一种在非结构化介观粗糙网格上进行双向流固耦合的新方法。在这种方法中，我们将流体的运动网格上的（高阶）有限元方法（FEM）与粒子的软球离散元素方法相结合。提出的方案的新颖特征在于，FEM网格是基于Moying粒子位置的动态Delaunay三角剖分。因此，网格可以是多种用途的：它提供（i）Navier-Stokes方程离散化的框架，（ii）用于检测运动粒子之间的接触的简单工具，（iii）粗粒度的基础或升级，以及（iv）与其他物理场（温度，电磁场等）耦合，因为网格分辨率在给定区域内会随颗粒密度而变化，所以此方法适用于各种稀疏和致密的颗粒流。双向动量交换是使用类似于其他流行方法的半经验阻力定律进行的。例如，离散粒子法，其中使用了在较粗的固定网格上的有限体积求解器。与通过固定颗粒阵列进行精细解析的FEM模拟相比，我们通过几个基本测试案例验证了该方法学的有效性，包括具有分析和经验期望的含单宁和双颗粒沉降以及流过，有序和随机的多孔介质。

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