Distortion and quality measures for validating and generating high-order tetrahedral meshes
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Author(s)
Gargallo-Peiró, Abel
Sarrate, Josep
Roca Navarro, Francisco Javier
Peraire, Jaime
Date Issued
July 2014
Journal
Engineering with Computers
Publisher
Springer London
Citation
Gargallo-Peiró, Abel, Xevi Roca, Jaime Peraire, and Josep Sarrate. “Distortion and Quality Measures for Validating and Generating High-Order Tetrahedral Meshes.” Engineering with Computers 31, no. 3 (July 26, 2014): 423–437.
Version
Author's final manuscript
Abstract
A procedure to quantify the distortion (quality) of a high-order mesh composed of curved tetrahedral elements is presented. The proposed technique has two main applications. First, it can be used to check the validity and quality of a high-order tetrahedral mesh. Second, it allows the generation of curved meshes composed of valid and high-quality high-order tetrahedral elements. To this end, we describe a method to smooth and untangle high-order tetrahedral meshes simultaneously by minimizing the proposed mesh distortion. Moreover, we present a p-continuation procedure to improve the initial configuration of a high-order mesh for the optimization process. Finally, we present several results to illustrate the two main applications of the proposed technique.
MIT Department
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Massachusetts Institute of Technology. School of Engineering
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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/s00366-014-0370-1
