论文标题
颗粒流的连续建模的无网格粒子方法
A mesh-free particle method for continuum modeling of granular flow
论文作者
论文摘要
基于Dunatunga等人开发的颗粒介质的连续模型。我们提出了一种无网格的通用有限差异方法，用于模拟颗粒流。该模型由使用Jop等人的$μ（i）$流变学带有屈服标准的弹性式塑性模型给出。数值过程基于一种无网状粒子方法，其在平衡方程中的最小二乘近似与Dunatunga等人在Dunatunga等人中开发的数值算法相结合。计算塑料应力。 该方法经过数值测试和验证，用于几个数值实验，包括颗粒状柱塌陷和颗粒材料中的刚体运动。为了比较Lacaze等人的非线性微观模型。实现并将结果与从连续模型获得的结果进行比较，以颗粒柱塌陷和刚体耦合到颗粒流。
Based on the continuum model for granular media developed in Dunatunga et al. we propose a mesh-free generalized finite difference method for the simulation of granular flows. The model is given by an elasto-viscoplastic model with a yield criterion using the $μ(I)$ rheology from Jop et al. The numerical procedure is based on a mesh-free particle method with a least squares approximation of the derivatives in the balance equations combined with the numerical algorithm developed in Dunatunga et al. to compute the plastic stresses. The method is numerically tested and verified for several numerical experiments including granular column collapse and rigid body motion in granular materials. For comparison a nonlinear microscopic model from Lacaze et al. is implemented and results are compared to the those obtained from the continuum model for granular column collapse and rigid body coupling to granular flow.
