Center of a mesh cell

pyroknife · July 9, 2015, 19:16

I have a structured mesh made of polyhedra (mostly hexahedra, and some pentahedra).
I am trying to find the "center" of each cell of this mesh.
These are irregular polyhedra, where none of the sides/faces are 100% parallel.

In the domain of meshing, when one speaks of the "center" of a cell, what type of center are they referring to? There's many different types of a "center."

For example, there's spatial centers, which is just an average of all the nodes that make up the cell. There's center of volume, center of mass, etc....

sbaffini · July 10, 2015, 06:25

You probably mean 'unstructured'. However, the following paper:

http://www.dept.ku.edu/~cfdku/papers/1999-AIAAJ.pdf

has the answer for arbitrary convex polygons/polyhedra.

July 9, 2015, 19:16	Center of a mesh cell	#1
pyroknife Member Join Date: Jan 2013 Posts: 39 Rep Power: 13	I have a structured mesh made of polyhedra (mostly hexahedra, and some pentahedra). I am trying to find the "center" of each cell of this mesh. These are irregular polyhedra, where none of the sides/faces are 100% parallel. In the domain of meshing, when one speaks of the "center" of a cell, what type of center are they referring to? There's many different types of a "center." For example, there's spatial centers, which is just an average of all the nodes that make up the cell. There's center of volume, center of mass, etc....

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July 10, 2015, 06:25		#2
sbaffini Senior Member Paolo Lampitella Join Date: Mar 2009 Location: Italy Posts: 2,192 Blog Entries: 29 Rep Power: 39	You probably mean 'unstructured'. However, the following paper: http://www.dept.ku.edu/~cfdku/papers/1999-AIAAJ.pdf has the answer for arbitrary convex polygons/polyhedra.