Dimensionless criterion to select the rolling resistance models in DEM simulations

IF 2.8 3区工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Computational Particle Mechanics Pub Date : 2025-07-29 DOI:10.1007/s40571-025-01034-8

Maxime Stephan, Guilhem Roux, Alexis Burr, Carine Ablitzer, Jean-Paul Garandet

引用次数: 0

Abstract

Several rolling resistance models are documented in the literature and implemented in discrete element method (DEM) software. Specifically, constant directional torque (CDT) and elasto-slipping (ES) models are frequently used in similar simulation conditions but often lead to inconsistent outcomes. A limitation of CDT models is that they are known to be sensitive to numerical oscillations. In the present work, we attempt to define the range of validity of CDT models through the identification of a dimensionless oscillation number (\(\varPsi \)) via an order of magnitude analysis. This oscillation number is demonstrated to effectively predict the division between two series of DEM simulations conducted using CDT and ES models.

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在DEM模拟中选择滚动阻力模型的无量纲准则

几种滚动阻力模型在文献中被记录，并在离散元法（DEM）软件中实现。具体来说，恒定方向扭矩（CDT）和弹性滑移（ES）模型经常用于类似的仿真条件，但往往导致不一致的结果。CDT模型的一个局限性是它们对数值振荡很敏感。在目前的工作中，我们试图通过通过数量级分析识别无因次振荡数（\(\varPsi \)）来定义CDT模型的有效性范围。该振荡数被证明可以有效地预测CDT和ES模型进行的两组DEM模拟之间的划分。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computational Particle Mechanics Mathematics-Computational Mathematics

CiteScore

5.70

自引率

9.10%

发文量

期刊介绍： GENERAL OBJECTIVES: Computational Particle Mechanics (CPM) is a quarterly journal with the goal of publishing full-length original articles addressing the modeling and simulation of systems involving particles and particle methods. The goal is to enhance communication among researchers in the applied sciences who use "particles'''' in one form or another in their research. SPECIFIC OBJECTIVES: Particle-based materials and numerical methods have become wide-spread in the natural and applied sciences, engineering, biology. The term "particle methods/mechanics'''' has now come to imply several different things to researchers in the 21st century, including: (a) Particles as a physical unit in granular media, particulate ﬂows, plasmas, swarms, etc., (b) Particles representing material phases in continua at the meso-, micro-and nano-scale and (c) Particles as a discretization unit in continua and discontinua in numerical methods such as Discrete Element Methods (DEM), Particle Finite Element Methods (PFEM), Molecular Dynamics (MD), and Smoothed Particle Hydrodynamics (SPH), to name a few.