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Multiblock Mesh Refinement by Adding Mesh Singularities

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27th International Meshing Roundtable (IMR 2018)

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 127))

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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

  1. 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

    Google Scholar 

  2. 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)

    Article  Google Scholar 

  3. 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)

    Article  MathSciNet  Google Scholar 

  4. W.R. Quadros, LayTracks3D: a new approach for meshing general solids using medial axis transform. CAD Comput. Aided Des. 72, 102–117 (2016)

    Article  Google Scholar 

  5. N. Kowalski, F. Ledoux, P. Frey, Smoothness driven frame field generation for hexahedral meshing. CAD Comput. Aided Des. 7772, 65–77 (2016)

    Article  Google Scholar 

  6. Gridpro, Multi-Scale Tools, GridPro website. [Online]. https://www.gridpro.com/gridpro-advantages. Accessed 27 May 2018

  7. 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

    Google Scholar 

  8. 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)

    Article  Google Scholar 

  9. R. Schneiders, Refining Quadrilateral and Hexahedral Element Meshes, in 5th International Conference on Grid Generation in Computational Field Simulations, 1996, pp. 679–688

    Google Scholar 

  10. 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)

    Article  MathSciNet  Google Scholar 

  11. 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)

    Article  Google Scholar 

  12. 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

    Chapter  Google Scholar 

  13. 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)

    Article  MathSciNet  Google Scholar 

  14. 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)

    Article  Google Scholar 

  15. 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)

    Article  MathSciNet  Google Scholar 

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Correspondence to Cecil G. Armstrong .

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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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