Correspondence Baptiste Lambert, University of Bordeaux, IMB, UMR 5251, Talence F-33400, France. Email: baptiste.lambert@inria.fr Summary Despite being relevant in many natural and industrial processes, suspensions of nonspherical particles have been largely underinvestigated compared with the extensive analyses made on the gravity-driven motions of spherical particles. One of the main reasons for this disparity is the difficulty of accurately correcting the short-range hydrodynamic forces and torques acting on complex particles. These effects, also known as lubrication, are essential to the suspension of the particles and are usually poorly captured by direct numerical simulation of particle-laden flows. In this article, we propose a partitioned volume penalization-discrete element method solver, which estimates the unresolved hydrodynamic forces and torques. Corrections are made locally on the surface of the interacting particles without any assumption on the particle global geometry. Numerical validations have been made using ellipsoidal particles immersed in an incompressible Navier-Stokes flow.

中文翻译：

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椭圆体载粒子流的数值模拟方法

通讯 Baptiste Lambert，波尔多大学，IMB，UMR 5251，Talence F-33400，法国。电子邮件：baptiste.lambert@inria.fr 总结 尽管与许多自然和工业过程相关，但与对球形颗粒的重力驱动运动进行的广泛分析相比，非球形颗粒的悬浮液在很大程度上研究不足。造成这种差异的主要原因之一是难以准确校正作用在复杂粒子上的短程流体动力和扭矩。这些效应，也称为润滑，对于颗粒的悬浮是必不可少的，并且通常无法通过载有颗粒的流动的直接数值模拟来捕捉。在本文中，我们提出了一个分区体积惩罚-离散元法求解器，它估计未解决的流体动力和扭矩。对相互作用粒子的表面进行局部校正，而不对粒子全局几何形状进行任何假设。已经使用浸入不可压缩 Navier-Stokes 流中的椭球粒子进行了数值验证。