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Commit efb7b21a authored by Christophe Geuzaine's avatar Christophe Geuzaine
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Add more info on mesh conformity
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\input texinfo.tex @c -*-texinfo-*-
@c $Id: gmsh.texi,v 1.57 2003-05-14 14:53:02 geuzaine Exp $
@c $Id: gmsh.texi,v 1.58 2003-05-17 17:01:45 geuzaine Exp $
@c
@c Copyright (C) 1997-2003 C. Geuzaine, J.-F. Remacle
@c
......@@ -380,13 +380,34 @@ are defined only by an ordered list of their nodes but that no predefined
order relation is assumed between any two elements.
The mesh generation is performed in the same bottom-up flow as the geometry
creation: lines are discretized first; the mesh of the lines is then used
to mesh the surfaces; then the mesh of the surfaces is used to mesh the
volumes. This automatically assures the conformity of the mesh when, for
example, two surfaces share a common line. Every meshing step is
constrained by the characteristic length field, which can be uniform,
specified by characteristic lengths associated with elementary geometrical
entities, or associated with another mesh (the background mesh).
creation: lines are discretized first; the mesh of the lines is then used to
mesh the surfaces; then the mesh of the surfaces is used to mesh the
volumes. In this process, the mesh of an entity is only constrained by the
mesh of its boundary@footnote{For example, in three dimensions:
@itemize @bullet
@item
the triangles discretizing a surface will be forced to be faces of
tetrahedra in the final 3D mesh only if the surface is part of the boundary
of a volume;
@item
the line elements discretizing a curve will be forced to be edges of
tetrahedra in the final 3D mesh only if the curve is part of the boundary of
a surface, itself part of the boundary of a volume;
@item
a single node discretizing a point in the middle of a volume will be forced
to be a vertex of one of the tetrahedra in the final 3D mesh only if this
point is connected to a curve, itself part of the boundary of a surface,
itself part of the boundary of a volume...
@end itemize
}. This automatically assures the conformity of the mesh when, for example,
two surfaces share a common line. But this also implies that the
discretization of an ``isolated'' (@var{n}-1)-th entity inside an @var{n}-th
dimensional entity does @emph{not} constrain the @var{n}-th dimensional
mesh. Every meshing step is constrained by the characteristic length field,
which can be uniform, specified by characteristic lengths associated with
elementary geometrical entities, or associated with another mesh (the
background mesh).
For each meshing step, all structured mesh directives are executed first,
and serve as additional constraints for the unstructured parts. The
......
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