Abstract
Several templates for 2D and 3D structured mesh refinement are presented. The templates have the property that the minimum number of irregular points or edges (mesh singularities) are added. For a given set of external division numbers a variety of interior meshes can be generated.
The positions of the internal vertices in the template are calculated explicitly using an extended transfinite mapping scheme, which has previously been shown to be equivalent to iterative iso-parametric smoothing. Since calculating the block vertex positions requires the solution of a small number of linear equations, the optimum mesh in the interior of the template can be evaluated very cheaply before the block structured mesh is generated.
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References
A. Loseille, Recent Improvements on Cavity-Based Operators for RANS Mesh Adaptation, in 2018 AIAA Aerospace Sciences Meeting, American Institute of Aeronautics and Astronautics, 2018
M.A. Price, C.G. Armstrong, M.A. Sabin, Hexahedral mesh generation by medial surface subdivision: part I. Solids with convex edges. Int. J. Numer. Methods Eng. 38(19), 3335–3359 (1995)
Z. Ali, P.C. Dhanasekaran, P.G. Tucker, R. Watson, S. Shahpar, Optimal multi-block mesh generation for CFD. Int. J. Comput. Fluid Dyn. 31(4–5), 195–213 (2017)
W.R. Quadros, LayTracks3D: a new approach for meshing general solids using medial axis transform. CAD Comput. Aided Des. 72, 102–117 (2016)
N. Kowalski, F. Ledoux, P. Frey, Smoothness driven frame field generation for hexahedral meshing. CAD Comput. Aided Des. 7772, 65–77 (2016)
Gridpro, Multi-Scale Tools, GridPro website. [Online]. https://www.gridpro.com/gridpro-advantages. Accessed 27 May 2018
A. Keskin et al., On the quantification of errors of a pre-processing effort reducing contact meshing approach, in 53rd AIAA Aerospace Sciences Meeting, American Institute of Aeronautics and Astronautics, 2015
J.S. Sandhu, F.C.M. Menandro, H. Liebowitz, E.T. Moyer, Hierarchical mesh adaptation of 2D quadrilateral elements. Eng. Fract. Mech. 50(5/6), 727–736 (1995)
R. Schneiders, Refining Quadrilateral and Hexahedral Element Meshes, in 5th International Conference on Grid Generation in Computational Field Simulations, 1996, pp. 679–688
M.S. Ebeida, A. Patney, J.D. Owens, E. Mestreau, Isotropic conforming refinement of quadrilateral and hexahedral meshes using two-refinement templates. Int. J. Numer. Methods Eng. 88(10), 974–985 (2011)
J. Qian, Y. Zhang, Automatic unstructured all-hexahedral mesh generation from B-Reps for non-manifold CAD assemblies. Eng. Comput. 28(4), 345–359 (2012)
B.D. Anderson, S.E. Benzley, S.J. Owen, Automatic all quadrilateral mesh adaption through refinement and coarsening, in Proceedings of the 18th International Meshing Roundtable, IMR 2009, 2009
H.J. Fogg, L. Sun, J.E. Makem, C.G. Armstrong, T.T. Robinson, Singularities in structured meshes and cross-fields. CAD Comp. Aided Des. 105, 11–25 (2018)
T.S. Li, R.M. McKeag, C.G. Armstrong, Hexahedral meshing using midpoint subdivision and integer programming. Comput. Methods Appl. Mech. Eng. 124(1–2), 171–193 (1995)
T.S. Li, C.G. Armstrong, R.M. McKeag, Quad mesh generation for k-sided faces and hex mesh generation for trivalent polyhedra. Finite Elem. Anal. Des. 26(4), 279–301 (1997)
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Armstrong, C.G., Li, T.S., Tierney, C., Robinson, T.T. (2019). Multiblock Mesh Refinement by Adding Mesh Singularities. In: Roca, X., Loseille, A. (eds) 27th International Meshing Roundtable. IMR 2018. Lecture Notes in Computational Science and Engineering, vol 127. Springer, Cham. https://doi.org/10.1007/978-3-030-13992-6_11
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