A new algorithm is described for generating an unstructured mesh about
an arbitrary two-dimensional configuration. Mesh points are generated
automatically by the algorithm in a manner which ensures a smooth var
iation of elements, and the resulting triangulation constitutes the De
launay triangulation of these points. The algorithm combines the mathe
matical elegance and efficiency of Delaunay triangulation algorithms w
ith the desirable point placement features, boundary integrity, and ro
bustness that are traditionally associated with advancing-front-type m
esh generation strategies. The method offers increased robustness over
previous algorithms in that it cannot fail, regardless of the initial
boundary point distribution and the prescribed cell size distribution
throughout the flow-field. (C) 1995 Academic Press, Inc.