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Neighborhood-Based Element Sizing Control for Finite Element Surface Meshing

Owen, Steven J. and Sunil Saigal

Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.143-154, October 1997

INTERNATIONAL
MESHING
ROUNTABLE

Steven J. Owen and Sunil Saigal
Department of Civil and Environmental Engineering,
Carnegie Mellon University, Pittsburgh, PA
ANSYS Inc., 275 Technology Drive, Cannonsburg, PA, USA
steve.owen@ansys.com
http://www.andrew.cmu.edu/user/sowen/

Abstract
A method is presented for controlling element sizes on the interior of areas during surface meshing. A Delaunay background mesh is defined over which a neighborhood based interpolation scheme is used to interpolate element sizes. A brief description of natural neighbor interpolation is included and compared to linear interpolation. Two specific applications are presented that utilize the sizing function, namely boundary layer meshing and surface curvature refinement. For these applications, criteria used for insertion of additional interior vertices into the background mesh to control element sizing is discussed.

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