A new indirect anisotropic quadrilateral mesh generation scheme with enhanced local mesh smoothing procedures

An enhanced version of indirect advancing front technique is proposed for the construction of full quadrilateral anisotropic meshes on 3D surfaces. The nal quadrilateral mesh is constructed from a background triangular mesh and the merging procedure is carried out in the parametric space. The proposed method employed the systemic merging technique for the formation of quadrilaterals and the metric speci cations for controlling the anisotropic characteristics of the elements. In order to generate well-graded anisotropic quadrilaterals, the selection criteria of base segment for merging are carefully de ned. Furthermore, in order to improve the shape quality of the nal mesh, a set of new local smoothing algorithms for anisotropic quadrilateral mesh quality enhancement has been proposed and tested in this study. Numerical examples obtained indicate that the proposed enhanced local smoothing schemes can e ectively improve the quality of the quadrilateral meshes produced and increase the robustness of the mesh generation scheme