论文标题
重新审视摩擦系数在颗粒状崩溃中的作用:3-D非平滑模拟与实验的对抗
Revisiting the role of friction coefficients in granular collapses: confrontation of 3-D non-smooth simulations with experiments
论文作者
论文摘要
在本文中,对瞬态颗粒流进行数值和实验检查。使用Daviet&Bertails-Descoubes(2016)中引入的连续3D颗粒模型进行了仿真,该模型代表颗粒介质是颗粒状且可扩展的连续体,但受到浓密状态的Drucker-prager产量标准。该数值模型的一个值得注意的特征是在没有任何正则化的情况下解决这种非平滑流变学。我们表明,这种依赖于恒定摩擦系数的非平滑模型能够以高保真度重现各种实验性的颗粒状折叠,前提是倾斜的可侵蚀性床,只要将摩擦系数设置为雪崩角度,而不是通常的停止角度。为了更好地表征在瞬态摩擦流动中完全塑性流变学的有效性范围,我们进一步重新审视缩放定律,将最终折叠沉积物与初始柱纵横比的形状相关联,并通过实验和模拟的胶水限制了侧壁摩擦的依据,并准确地恢复了10个侧面摩擦率的依赖,并准确地恢复了10的巨位依赖性。有效的流量厚度是根据通道宽度估计的,从而挑战了先前对其估计的假设。最后,我们通过滞后模型讨论了恒定系数模型的潜在扩展,以完善对早期崩溃动态的预测,这说明了这种现象学对瞬态流动的影响,并为更详细的分析铺平了道路。
In this paper, transient granular flows are examined both numerically and experimentally. Simulations are performed using the continuous 3D granular model introduced in Daviet & Bertails-Descoubes (2016), which represents the granular medium as an inelastic and dilatable continuum subject to the Drucker-Prager yield criterion in the dense regime. One notable feature of this numerical model is to resolve such a non-smooth rheology without any regularisation. We show that this non-smooth model, which relies on a constant friction coefficient, is able to reproduce with high fidelity various experimental granular collapses over inclined erodible beds, provided the friction coefficient is set to the avalanche angle - and not to the stop angle, as generally done. In order to better characterise the range of validity of the fully plastic rheology in the context of transient frictional flows, we further revisit scaling laws relating the shape of the final collapse deposit to the initial column aspect ratio, and accurately recover established power-law dependences up to aspect ratios in the order of 10. The influence of sidewall friction is then examined through experimental and simulated collapses with varying channel widths. The effective flow thickness is estimated in relation to the channel width, thereby challenging previously held assumptions on its estimation. Finally, we discuss the potential extension of the constant coefficient model with a hysteretic model to refine predictions of early-stage collapse dynamics, illustrating the impact of such phenomenology on transient flows and paving the way to more elaborate analysis.