A surface mesh smoothing and untangling method independent of the CAD parameterization
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Author(s)
Gargallo-Peiró, Abel
Sarrate, Josep
Roca Navarro, Francisco Javier
Date Issued
September 2013
Journal
Computational Mechanics
Publisher
Springer Berlin Heidelberg
Citation
Gargallo-Peiró, Abel, Xevi Roca, and Josep Sarrate. “A Surface Mesh Smoothing and Untangling Method Independent of the CAD Parameterization.” Comput Mech 53, no. 4 (September 11, 2013): 587–609.
Version
Author's final manuscript
Abstract
A method to optimize triangular and quadrilateral meshes on parameterized surfaces is proposed. The optimization procedure relocates the nodes on the surface to improve the quality (smooth) and ensures that the elements are not inverted (untangle). We detail how to express any measure for planar elements in terms of the parametric coordinates of the nodes. The extended measures can be used to check the quality and validity of a surface mesh. Then, we detail how to optimize any Jacobian-based distortion measure to obtain smoothed and untangled meshes with the nodes on the surface. We prove that this method is independent of the surface parameterization. Thus, it can optimize meshes on CAD surfaces defined by low-quality parameterizations. The examples show that the method can optimize meshes composed by a large number of inverted elements. Finally, the method can be extended to obtain high-order meshes with the nodes on the CAD surfaces.
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1007/s00466-013-0920-1
