Voro++: a three-dimensional Voronoi cell library in C++. Voro++ is a software library for carrying out three-dimensional computations of the Voronoi tessellation. A distinguishing feature of the Voro++ library is that it carries out cell-based calculations, computing the Voronoi cell for each particle individually. It is particularly well-suited for applications that rely on cell-based statistics, where features of Voronoi cells (eg. volume, centroid, number of faces) can be used to analyze a system of particles. Voro++ comprises of several C++ classes that can be built as a static library. A command-line utility is also provided that can use most features of the code. The direct cell-by-cell construction makes the library particularly well-suited to handling special boundary conditions and walls. It employs algorithms that are tolerant for numerical precision errors, it exhibits high performance, and it has been successfully employed on very large particle systems.

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  1. Clemens Schmid; Stephan Schiffels: bleiglas: An R package for interpolation and visualisation of spatiotemporal data with 3D tessellation (2021) not zbMATH
  2. Farooq, Harris; Ryckelynck, David; Forest, Samuel; Cailletaud, Georges; Marano, Aldo: A pruning algorithm preserving modeling capabilities for polycrystalline data (2021)
  3. Febrianto, Eky; Ortiz, Michael; Cirak, Fehmi: Mollified finite element approximants of arbitrary order and smoothness (2021)
  4. Parrinello, Francesco; Gulizzi, Vincenzo; Benedetti, Ivano: A computational framework for low-cycle fatigue in polycrystalline materials (2021)
  5. Prince Henry Serrao, Stefan Sandfeld, Aruna Prakash: OptiMic: A tool to generate optimized polycrystalline microstructures for materials simulations (2021) not zbMATH
  6. Seitl, F.; Petrich, L.; Staněk, J.; Krill, C. E. III; Schmidt, V.; Beneš, V.: Exploration of Gibbs-Laguerre tessellations for three-dimensional stochastic modeling (2021)
  7. Beirão da Veiga, L.; Dassi, F.; Vacca, G.: The Stokes complex for virtual elements in three dimensions (2020)
  8. Beirão da Veiga, Lourenco; Dassi, Franco; Russo, Alessandro: A (C^1) virtual element method on polyhedral meshes (2020)
  9. Dassi, Franco; Lovadina, Carlo; Visinoni, M.: A three-dimensional Hellinger-Reissner virtual element method for linear elasticity problems (2020)
  10. Dassi, Franco; Scacchi, Simone: Parallel solvers for virtual element discretizations of elliptic equations in mixed form (2020)
  11. Duan, Xianglong; Quan, Chaoyu; Stamm, Benjamin: A boundary-partition-based Voronoi diagram of (d)-dimensional balls: definition, properties, and applications (2020)
  12. Galvis, Andres F.; Santos-Flórez, Pedro A.; Sollero, Paulo; de Koning, Maurice; Wrobel, Luiz C.: Multiscale model of the role of grain boundary structures in the dynamic intergranular failure of polycrystal aggregates (2020)
  13. Hart, Kenneth A.; Rimoli, Julian J.: Generation of statistically representative microstructures with direct grain geometry control (2020)
  14. Jahn, Daniel; Seitl, Filip: Existence and simulation of Gibbs-Delaunay-Laguerre tessellations. (2020)
  15. Gibou, Frederic; Hyde, David; Fedkiw, Ron: Sharp interface approaches and deep learning techniques for multiphase flows (2019)
  16. Ji, Zhe; Fu, Lin; Hu, Xiangyu Y.; Adams, Nikolaus A.: A new multi-resolution parallel framework for SPH (2019)
  17. Li, Xinge; Zhang, Yongjie Jessica; Yang, Xuyang; Xu, Haibo; Xu, Guoliang: Point cloud surface segmentation based on volumetric eigenfunctions of the Laplace-Beltrami operator (2019)
  18. Mistani, Pouria; Guittet, Arthur; Poignard, Clair; Gibou, Frederic: A parallel Voronoi-based approach for mesoscale simulations of cell aggregate electropermeabilization (2019)
  19. Ortiz-Bernardin, A.; Alvarez, C.; Hitschfeld-Kahler, N.; Russo, A.; Silva-Valenzuela, R.; Olate-Sanzana, E.: Veamy: an extensible object-oriented C++ library for the virtual element method (2019)
  20. Sarath Menon, Grisell Díaz Leines, Jutta Rogal: pyscal: A python module for structural analysis of atomic environments (2019) not zbMATH

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