Distortion and quality measures for validating and generating high-order tetrahedral meshes
Author(s)Gargallo-Peiró, Abel; Sarrate, Josep; Roca Navarro, Francisco Javier; Peraire, Jaime
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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.
DepartmentMassachusetts Institute of Technology. Department of Aeronautics and Astronautics; Massachusetts Institute of Technology. School of Engineering
Engineering with Computers
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.
Author's final manuscript