Abstract
This paper describes a technique for generating quadrilateral finite element meshes on convex, four-sided patches, given an arbitrary number of elements along each side of the patch. The technique first generates a subdivision with the correct topological structure and smoothes the subdivision to obtain elements of acceptance shape for finite element analysis. The correct mesh topology is obtained from a regular subdivision by cutting rectangular corners of appropriate size and interconnecting the sides introduced by the cuts.
The method can also be applied on three-dimensional patches producing meshes of brick elements with gradations in all directions.
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References
Herrmann, L.R. (1976) Laplacian-isoparametric grid generation scheme. J. Eng. Mech. Div. Proc. ASCE 102(EM5), October, pp 749–756
Shephard, Mark S. (1988) Approaches to the automatic generation and control of finite element meshed. Appl. Mech. Rev. 41(4), April, pp 169–185
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Høyte, J. The Cut&Glue mesh generation algorithm. Engineering with Computers 8, 51–58 (1992). https://doi.org/10.1007/BF01206336
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DOI: https://doi.org/10.1007/BF01206336