SPH-based simulation of granular collapse on an inclined bed
SPH-based simulation of granular collapse on an inclined bed
复制标题
DOI：
10.1016/j.mechrescom.2016.01.014
复制
发表时间：
2016-04
影响因子：
2.4
通讯作者：
H. Ikari;H. Gotoh
中科院分区：
文献类型：
--
作者：
H. Ikari;H. Gotoh
本文提出了一个模拟倾斜床面上颗粒流及其沉积的数值模型。将颗粒材料描述为弹塑性连续体，并基于光滑粒子流体动力学（SPH）方法对颗粒材料的本构关系即虎克定律进行离散。然而，在运动方程中，没有应用SPH中广泛使用的人工粘性。从虎克定律导出的扩散项引入了扩散系数，该扩散系数根据Drucker-Prager屈服函数的应力和应变速率而变化。通过两个数值试验对模型进行了验证。结果表明，用简单的剪切试验再现了基本的理想弹塑性特性。研究了扩散系数和空间分辨率的影响，验证了模型的有效性。在模拟重力崩溃的颗粒柱上倾斜的床，性能的模型从最终的沉积剖面，颗粒流的前端位置的时间历程，最大的跳动距离，和速度剖面的几种情况下的基础倾斜进行了研究。计算结果与实验结果吻合较好。
The paper presents a numerical model for simulating a granular flow and its deposition on an inclined bed. A granular material is described as an elastic–plastic continuum and its constitutive law, namely Hooke's law, is discretized on the basis of the Smoothed Particle Hydrodynamics (SPH) method. In the equation of motion, however, the artificial viscosity, which is widely used in SPH, is not applied. The diffusive term derived from Hooke's law is introduced with a diffusion coefficient that varies depending on the stress and strain rate based on the Drucker–Prager yield function. The model is verified and validated through two numerical tests. It is shown that the basic elastic–perfectly plastic characteristics are reproduced with a simple shearing test. The effects of the diffusion coefficient and spatial resolution are investigated to show the validity of the model. In the simulation of the gravitational collapse of a granular column on an inclined bed, the performance of the model from the final deposition profile, the time history of the front position of the granular flow, the maximum runout distance, and the velocity profile are investigated for several cases of basal inclinations. The calculated results show good agreement with the experimental results.