Distortion and quality measures for validating and generating high-order tetrahedral meshes
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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 -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.
CitationGargallo, A., Roca, X., Peraire, J., Sarrate, J. Distortion and quality measures for validating and generating high-order tetrahedral meshes. "Engineering with computers", 01 Juliol 2015, vol. 31, núm. 3, p. 423-437.