 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.

Picture / Figure / Diagram: 

Generation of polycrystalline RVE using Voronoi tessellation


SFBLink:  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 PebbleBed Nuclear Reactor (2006) C. Geuzain, J.F. Remacle: Gmsh: a threedimensional finite element mesh generator with builtin pre and postprocessing facilities, (2009) 

