The Voronoi-Delaunay approach for modeling the packing of balls in a cylindrical container

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Abstract

The paper presents an approach for calculation of the Voronoi network of a system of balls confined inside a cylindrical container. We propose to consider a boundary of a container as one of the elements of the system. Then the Voronoi network can be built for a system containing non-spherical particles. An explicit formula to compute the coordinates of the Voronoi vertex between a three balls and a cylinder are obtained. The approach is implemented in 3D and tested on the models of balls packing with different structure.

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Luchnikov, V. A., Medvedev, N. N., & Gavrilova, M. L. (2001). The Voronoi-Delaunay approach for modeling the packing of balls in a cylindrical container. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2073, pp. 748–752). Springer Verlag. https://doi.org/10.1007/3-540-45545-0_86

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