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Continuum simulation of the discharge of the granular silo: a validation test for the mu(I)-visco-plastic flow law

机译:颗粒料仓排放的连续模拟:验证   测试mu(I)-visco塑性流动法

摘要

Using both a continuum Navier-Stokes solver, with the mu(I)-flow-lawimplemented to model the viscous behavior, and the discrete Contact Dynamicsalgorithm, the discharge of granular silos is simulated in two dimensions fromthe early stages of the discharge until complete release of the material. Inboth cases, the Beverloo scaling is recovered. We first do not attemptquantitative comparison, but focus on the qualitative behavior of velocity andpressure at different locations in the flow. A good agreement is obtained inthe regions of rapid flows, while areas of slow creep are not entirely capturedby the continuum model. The pressure field shows a general good agreement. Theevolution of the free surface implies differences, however, the bulkdeformation is essentially identical in both approaches. The influence of theparameters of the mu(I)-flow-law is systematically investigated, showing theimportance of the dependence on the inertial number I to achieve quantitativeagreement between continuum and discrete discharge. The general ability of thecontinuum model to reproduce qualitatively the granular behavior is found to bevery encouraging.
机译:使用连续的Navier-Stokes求解器,使用mu(I)流动法对粘性行为进行建模,并使用离散的接触动力学算法,从排放的早期到完全释放,在两个维度上模拟粒状料仓的排放材料。在这两种情况下,都可以恢复Beverloo的缩放比例。我们首先不尝试定量比较,而是关注流中不同位置的速度和压力的定性行为。在快速流动的区域获得了很好的一致性,而缓慢蠕变的区域并没有被连续模型完全捕获。压力场显示出总体良好的一致性。自由表面的演化意味着差异,但是,两种方法的体形变形基本上是相同的。系统地研究了mu(I)流量定律参数的影响,显示了依赖于惯性数I的重要性,以实现连续和离散流量之间的定量协议。发现连续谱模型定性再现颗粒行为的一般能力令人鼓舞。

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