Distortion and quality measures for validating and generating high-order tetrahedral meshes

Author (s): Gargallo-Peiró, A.; Roca, X.; Peraire, J. and Sarrate, J.
Journal: Engineering with Computers

Volume: 31, Issue
Pages: 423 – 437
Date: 2015

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.

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Bibtex:

@article{2015-EWC-GRPS
author={Gargallo-Peiró, A. and Roca, X. and Peraire, J. and Sarrate, J.},
title={Distortion and quality measures for validating and generating high-order tetrahedral meshes},
journal={Engineering with Computers},
volume={31},
number={3},
pages={423-437},
year={2015},
doi={10.1007/s00366-014-0370-1},
url={http://dx.doi.org/10.1007/s00366-014-0370-1},
issn={0177-0667},
publisher={Springer London},
keywords={CAD; High-order unstructured methods; Curved high-order meshes; Mesh validity; Mesh quality; Mesh optimization},
}