Cohesion forces strongly alter the flow properties of a granular material. To investigate this influence, we focus on a simple configuration: the collapse of a cohesive granular column. To do so, we adopt a numerical approach and implement a peculiar rheology in a Navier–Stokes solver (Basilisk): the so-called μ ( I )-rheology, usually used for dry granular materials, supplemented by a yield stress for cohesion. With this approach, we recover the stability of the column, assuming the classical Mohr–Coulomb criterion for failure. We then compare this approach with a code based on contact dynamics, which implies forces at the grain scale: we recover the stability of the column as well. Furthermore, this comparison enables us to estimate the macroscopic yield stress based on the cohesive contacts between grains, which bridges the gap between continuous and discrete approaches of cohesive granular matter.

中文翻译：

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粘性颗粒柱的坍塌：连续和离散建模

内聚力强烈地改变颗粒材料的流动特性。为了研究这种影响，我们专注于一个简单的配置：一个有凝聚力的颗粒柱的倒塌。为此，我们采用数值方法并在 Navier-Stokes 求解器 (Basilisk) 中实现了一种特殊的流变学：所谓的 μ ( I )-流变学，通常用于干燥颗粒材料，并辅以屈服应力以提高内聚力。使用这种方法，我们恢复了柱的稳定性，假设失效的经典 Mohr-Coulomb 标准。然后我们将这种方法与基于接触动力学的代码进行比较，这意味着在晶粒尺度上的力：我们也恢复了柱的稳定性。此外，这种比较使我们能够根据晶粒之间的内聚接触来估计宏观屈服应力，