TetGen, a Delaunay-Based Quality Tetrahedral Mesh Generator. TetGen is a C++ program for generating good quality tetrahedral meshes aimed to support numerical methods and scientific computing. The problem of quality tetrahedral mesh generation is challenged by many theoretical and practical issues. TetGen uses Delaunay-based algorithms which have theoretical guarantee of correctness. It can robustly handle arbitrary complex 3D geometries and is fast in practice. The source code of TetGen is freely available. This article presents the essential algorithms and techniques used to develop TetGen. The intended audience are researchers or developers in mesh generation or other related areas. It describes the key software components of TetGen, including an efficient tetrahedral mesh data structure, a set of enhanced local mesh operations (combination of flips and edge removal), and filtered exact geometric predicates. The essential algorithms include incremental Delaunay algorithms for inserting vertices, constrained Delaunay algorithms for inserting constraints (edges and triangles), a new edge recovery algorithm for recovering constraints, and a new constrained Delaunay refinement algorithm for adaptive quality tetrahedral mesh generation. Experimental examples as well as comparisons with other softwares are presented.

This software is also peer reviewed by journal TOMS.

References in zbMATH (referenced in 68 articles , 1 standard article )

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  1. Bosma, Sebastian; Hajibeygi, Hadi; Tene, Matei; Tchelepi, Hamdi A.: Multiscale finite volume method for discrete fracture modeling on unstructured grids (MS-DFM) (2017)
  2. Simon, K.; Sheorey, S.; Jacobs, D.W.; Basri, R.: A hyperelastic two-scale optimization model for shape matching (2017)
  3. van den Bos, L.M.M.; Koren, B.; Dwight, R.P.: Non-intrusive uncertainty quantification using reduced cubature rules (2017)
  4. Bajc, Iztok; Hecht, Frédéric; Žumer, Slobodan: A mesh adaptivity scheme on the Landau-de Gennes functional minimization case in 3D, and its driving efficiency (2016)
  5. Bilous, M.V.: Nadra-3D add-on for Blender software (2016)
  6. Burstedde, Carsten; Holke, Johannes: A tetrahedral space-filling curve for nonconforming adaptive meshes (2016)
  7. Dassi, Franco; Formaggia, Luca; Zonca, Stefano: Degenerate tetrahedra removal (2016)
  8. Gatica, Gabriel N.; Sequeira, Filánder A.: A priori and a posteriori error analyses of an augmented HDG method for a class of quasi-Newtonian Stokes flows (2016)
  9. Jensen, Kristian Ejlebjerg; Gorman, Gerard: Details of tetrahedral anisotropic mesh adaptation (2016)
  10. Ahmed, Raheel; Edwards, Michael G.; Lamine, Sadok; Huisman, Bastiaan A.H.; Pal, Mayur: Three-dimensional control-volume distributed multi-point flux approximation coupled with a lower-dimensional surface fracture model (2015)
  11. Caiazzo, Alfonso; Montecinos, Gino; Müller, Lucas O.; Haacke, E.Mark; Toro, Eleuterio F.: Computational haemodynamics in stenotic internal jugular veins (2015)
  12. Fuhrmann, Jürgen: Comparison and numerical treatment of generalised Nernst-Planck models (2015)
  13. Jamin, Clément; Alliez, Pierre; Yvinec, Mariette; Boissonnat, Jean-Daniel: CGALmesh: a generic framework for Delaunay mesh generation (2015)
  14. Kim, Hyun-Gyu; Sohn, Dongwoo: A new finite element approach for solving three-dimensional problems using trimmed hexahedral elements (2015)
  15. Kim, Sang-Un; Lee, Chang-Ock: Accurate surface reconstruction in 3D using two-dimensional parallel cross sections (2015)
  16. Paillé, Gilles-Philippe; Ray, Nicolas; Poulin, Pierre; Sheffer, Alla; Lévy, Bruno: Dihedral angle-based maps of tetrahedral meshes (2015)
  17. Semmler, Johannes; Pflug, Lukas; Stingl, Michael; Leugering, Günter: Shape optimization in electromagnetic applications (2015)
  18. Si, Hang: TetGen, a Delaunay-based quality tetrahedral mesh generator (2015)
  19. Zou, Ming; Holloway, Michelle; Carr, Nathan; Ju, Tao: Topology-constrained surface reconstruction from cross-sections (2015)
  20. Chen, Zhonggui; Wang, Wenping; Lévy, Bruno; Liu, Ligang; Sun, Feng: Revisiting optimal Delaunay triangulation for 3D graded mesh generation (2014)

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