Pomelo，一个计算任意形状非球形粒子类属集合Voronoi图的工具
Pomelo, a tool for computing Generic Set Voronoi Diagrams of Aspherical Particles of Arbitrary Shape
摘要：
我们描述了一个新的软件工具，称为“柚子”，用于计算集Voronoi图的发展。Voronoi图是将颗粒周围的空间划分为单独的Voronoi单元的空间划分，例如适用于颗粒材料。点或单分散球体的常规Voronoi图的推广是集合Voronoi图，也称为导航图或影响区镶嵌。在此构造中，“Set Voronoi”单元包含的体积距离一个粒子的曲面比距离任何其他粒子的曲面更近。这对于非球面或多分散系统是必需的。Pomelo被设计成易于使用和尽可能通用。它直接支持常见的粒子形状，并提供了一个通用模式，允许处理任何类型的粒子，可以用数学描述。Pomelo可以以不同的标准格式创建输出，这允许直接可视化和进一步处理。最后，我们描述了SetVoronoi码在颗粒和软物质物理中的三个应用，即具有不同程度颗粒-颗粒摩擦的椭球颗粒的堆积问题，四面体的机械稳定堆积和梨形颗粒的液晶系统模型
英文摘要：
We describe the development of a new software tool, called "Pomelo", for the calculation of Set Voronoi diagrams. Voronoi diagrams are a spatial partition of the space around the particles into separate Voronoi cells, e.g. applicable to granular materials. A generalization of the conventional Voronoi diagram for points or monodisperse spheres is the Set Voronoi diagram, also known as navigational map or tessellation by zone of influence. In this construction, a Set Voronoi cell contains the volume that is closer to the surface of one particle than to the surface of any other particle. This is required for aspherical or polydisperse systems. Pomelo is designed to be easy to use and as generic as possible. It directly supports common particle shapes and offers a generic mode, which allows to deal with any type of particles that can be described mathematically. Pomelo can create output in different standard formats, which allows direct visualization and further processing. Finally, we describe three applications of the Set Voronoi code in granular and soft matter physics, namely the problem of packings of ellipsoidal particles with varying degrees of particle-particle friction, mechanical stable packings of tetrahedra and a model for liquid crystal systems of particles with shapes reminiscent of pears
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