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Voronoizellen

Voronoizellen: Voronoi Tessellations
Definition:Three dimensional Voronoi diagram in modelling continuous fields in Materials Science
Explanation:The Voronoi diagram is a structure that divides a certain space into cells, called Voronoi cells. These cells are created so that every location within each cell is closest to the corresponding data point, or seed. The value of the corresponding seed is assigned to such locations.

In general, the Voronoi diagram has been widely used. It is used in three spatial operations: (i) to determine spatial distribution and neighbourhood relations between points in a dataset, (ii) to determine the area of influence of points in a dataset, and (iii)as a basis for the natural neighbour interpolation method.
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Generation of polycrystalline RVE using Voronoi tessellation
SFB-Link:The Voronoi tessellation approach can be used for generating the polycrystalline RVE, which takes into account the real aspects of microstructure such as grain size, grain distribution, phases etc.

The Voronoi tessellation approach can be used not only for virtual microstructure generation, but also in many other applications e.g. Geosciences.
References:Tom van der Putte, „Using the discrete 3D Voronoi diagram for the modelling of 3D continuous information in geosciences“, (2009)
C. H. Rycroft, G. S. Grest, J. W. Landry, M. Z. Bazant: Analysis of Granular Flow in a Pebble-Bed Nuclear Reactor (2006)
C. Geuzain, J.-F. Remacle: Gmsh: a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities, (2009)