Investigation of adequacy of multi-sphere approximation of elliptical particles for DEM simulations
Investigation of adequacy of multi-sphere approximation of elliptical particles for DEM simulations
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DOI：
10.1007/s10035-009-0158-y
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发表时间：
2010-02-01
期刊：
影响因子：
2.4
通讯作者：
Navakas, R.
中科院分区：
文献类型：
--
作者：
Markauskas, D.;Kacianauskas, R.;Navakas, R.
研究了离散元法（DEM）模拟中由一组子球组成的椭球粒子的近似精度。提出了一种自适应分层多球（MS）模型的椭圆粒子合成算法。堆积问题的数值模拟是用来作为一个测试问题，以评估MS模型近似的充分性相比，光滑椭圆模型的多粒子系统。通过对颗粒动力学宏观和微观参数的比较，详细考察了MS近似随子球数目增加的准确性。确定MS模型产生的宏观参数数据随着组成子球数量的增加而趋于收敛于光滑椭球体的宏观参数数据，并且MS模型近似于具有适当公差范围内的合理数量的子球的光滑完美椭球体。可以得出结论，多球模型仍然是一个现实的和相对简单的颗粒模型适用于DEM模拟的行为的真实的光滑和粗糙的椭圆形颗粒。
Adequacy of approximation of ellipsoidal particles composed of a set of sub-spheres for numerical Discrete Element Method (DEM) simulations is examined. The algorithm of adaptive hierarchical multi-sphere (MS) model is suggested for composing elliptical particles. Numerical simulation of the piling problem is used as a test problem for evaluating the adequacy of MS model approximation in comparison to the model of smooth ellipses for multiparticle system. The accuracy of MS approximation with the increasing number of sub-spheres is examined in detail by comparison of macroscopic and microscopic parameters of granular dynamics. It was determined that the data on macroscopic parameters yielded by the MS model tend to converge to those of the smooth ellipsoid with the increasing number of the constituent sub-spheres, and the MS model approximates the smooth perfect ellipsoid with a reasonable number of sub-spheres within the limits of the appropriate tolerance. It can be concluded that a multi-sphere model remains a realistic and relatively simple particle model applicable to DEM simulations of the behaviour of the real smooth and rough elliptically shaped particles.