Heuristic repairing operators for 3D tetrahedral mesh generation using the advancing-front technique

In various applications of the advancing front based algorithms, involving complicated three dimensional geometries, the algorithm fails to complete the mesh generation process, as a number of small regions cannot be meshed using the standard procedure. These regions, formed by faces of the current front, are usually disconnected, highly non-convex and cannot be handled with simple actions. A strategy involving different novel and already in use operators is presented in this work, to successfully discretize such regions after the completion of the standard advancing front technique (AFT), in order to improve the robustness of the mesh generation procedure for difficult and complicated geometries. Examples of generated meshes using the proposed methodology are also presented for the validation of the proposed strategy.

► A problem with AFT is its termination without discretizing the complete volume.
► A robust procedure is thus needed for complicated geometries.
► Various operators are proposed to discretize the non-meshable cavities.
► The successive call of the proposed operators is fully automated.
► Successfully generated meshes are presented for validation of the procedure.