Application of Harmonic mapping on One-To-One Sweeping
Cai, Shengyong and Tim Tautges
Research Notes, 21st International Meshing Roundtable, Springer-Verlag, pp.Research Note, October 7-10 2012
21st International Meshing Roundtable
San Jose, CA
October 7-10, 2012
Department of Engineering Physics, University of Wisconsin-Madison, 1500 Engineering Dr, Madison, WI, U.S.A.
MCS, Argonne National Laboratory, 425 ERB, 1500 Engineering Dr, Madi-son, WI, U.S.A.
The sweeping algorithm can generate all-hexahedral mesh by sweeping an
all-quad mesh on the source surface to the target surface. For one-to-one
sweeping, the most difficult thing is to generate an all-quad mesh on the
target surface which has the same mesh connectivity as that of source
surface. The traditional method is to use the affine transformations, like
translation, rotation, scaling, or combinations of them. This method works
very well on the convex cases, while it fails for the concave and non-simply
connected cases. In this paper, harmonic mapping is used to map an all-quad
mesh onto the target surface. The result shows that it can generate an
all-quad mesh on the target surface without any inverted element and avoid
expensive smoothing algorithm like untangling.
Download Full Paper (PDF Format)
Contact author(s) or publisher for availability and copyright information on above referenced article