A Comparison of Mesh Morphing Methods for Shape Optimization
Steven J. Owen and Matthew L. Staten
Research Notes, 19th International Meshing Roundtable, Springer-Verlag, pp.Research Note, October 3-6 2010
19th International Meshing Roundtable
Chattanooga, Tennessee, USA.
October 3-6, 2010
Sandia National Laboratoriesy, Albuquerque, NM, U.S.A.
Sandia National Laboratories, Albuquerque, NM, U.S.A.
The modeling and simulation process for design often involves many small
iterations through multiple changes to geometry. In an automated setting,
geometric characteristics are represented as parameters that are driven via
an optimization procedure. The ability to automatically adjust and update
an existing mesh to conform to modifications in the geometry is a necessary
capability that can enable rapid prototyping of many alternate geometric de-
signs. It is clear however, that a mesh morph or update capability will have
its limitations based upon the magnitude of the geometric changes required,
however extending the range in which the connectivity of a mesh may be
reused through many iterations of the design process is the desired outcome
of this research.
In this research note we propose three dierent methods for morphing a
mesh onto an updated geometry: 1. Smoothing, 2. Weighted Residuals, and 3.
Simplex-based transformations. In each case we assume the geometric topol-
ogy description of the model through all iterations of the optimization, remains
constant. This assumption allows for the geometric ownership of nodes and
elements in the mesh to also remain unchanged through design iterations.
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