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Efficient Voronoi volume estimation for DEM simulations of granular materials under confined conditions

机译:有限条件下颗粒材料的DEM模拟的有效Voronoi体积估计

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摘要

class="kwd-title">Keywords: Voronoi volume, Computational efficiency, Discrete element method, Granular materials, Confined compression class="head no_bottom_margin" id="idm139828132712896title">AbstractWhen the discrete element method (DEM) is used to simulate confined compression of granular materials, the need arises to estimate the void space surrounding each particle with Voronoi polyhedra. This entails recurring Voronoi tessellation with small changes in the geometry, resulting in a considerable computational overhead. To overcome this limitation, we propose a method with the following features: class="first-line-outdent">
  • • A local determination of the polyhedron volume is used, which considerably simplifies implementation of the method.
  • • A linear approximation of the polyhedron volume is utilised, with intermittent exact volume calculations when needed.
  • • The method allows highly accurate volume estimates to be obtained at a considerably reduced computational cost.
  • 机译:<!-fig ft0-> <!-fig @ position =“ anchor” mode =文章f4-> <!-fig mode =“ anchred” f5-> <!-fig / graphic | fig / alternatives / graphic mode =“ anchored” m1-> class =“ kwd-title”>关键字: Voronoi体积,计算效率,离散元方法,颗粒材料,局限压缩 class =“ head no_bottom_margin“ id =” idm139828132712896title“>摘要当使用离散元方法(DEM)模拟颗粒材料的有限压缩时,就需要用Voronoi多面体来估计每个粒子周围的空隙空间。这需要对Voronoi进行镶嵌细分,并在几何形状中进行较小的更改,从而导致相当大的计算开销。为克服此限制,我们提出了一种具有以下功能的方法: class =“ first-line-outdent”> <!-list-behavior =简单的前缀-word = mark-type = none max-label-size = 9->
  • •使用多面体体积的局部确定,这大大简化了该方法的实现。
  • •多面体的线性近似利用体积,并在需要时进行间断的精确体积计算。
  • •该方法允许以大大降低的计算成本获得高度精确的体积估计。
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