CGAL users discussion list

[paulm <>]

To whom it may concern,

I've been using iso2mesh for a while now to create volume meshes for Abaqus.
I'm using CGAL mesh to generate the tetrahedral meshes and controlling the
density with the opt.radbound (radius_bound) and opt.distbound
(distance_bound) parameters.

I understand that radius_bound is radii of surface Delaunay balls (i.e the
size of each tertrahedral element). According to your documentation,
distance_bound is an upper bound for the distance between the circumcenter
of a mesh facet and the center of a surface Delaunay ball of this facet.

My testing shows that for a fixed radius_bound, increasing the
distance_bound value reduces the number of elements generated to a point.
Also setting the distance_bound = 0 reduces the number of elements as well.
I understand that a tetra element has four faces and the distance_bound is
the limit the circumcentres that these four faces can be from the centre of
the Delaunay ball that surrounds it. Therefore increasing this allowable
distance_bound will increase the size of the element size.

I have three questions. 

1) If increasing this allowable distance_bound will increase the size of the
element size, why doesn't it do it indefinitely. Is it being limited by a
fixed radius_bound?

2) Besides element size, can altering distance_bound change other element
attributes (i.e. variations in element aspect ratio, skewedness etc)?

3) Do you know of any worthwhile papers that discuss distance_bound in
detail?

Thanks for your help and kind regards,

Paul 





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