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Title: Smoothing and local refinement techniques for improving tetrahedral mesh quality
Authors: Escobar, J. M. 
Montenegro, R. 
Montero, G. 
Rodríguez, E. 
González-Yuste, J. M.
Keywords: Unstructured Grids
Condition Number
Issue Date: 2005
Publisher: 0045-7949
Journal: Computers and Structures 
Conference: 9th International Conference on Civil and Structural Engineering Computing/7th International Conference on the Application of Artificial Intelligence to Civil and Structural Engineering 
Abstract: The improvement in the mesh quality without changing its connectivity is bounded. This bound is associated with the topology of the mesh and with the constraints imposed by the boundary of the domain. To solve this problem, we propose in this work to combine the tetrahedral mesh optimisation technique introduced in [Montenegro R, Montero G, Escobar JM, Rodriguez E, Gonzalez-Yuste JM. Tetrahedral mesh generation for environmental problems over complex terrains. Lect Notes Comput Sci 2002;2329:335-44; Escobar JM, Rodriguez E, Montenegro R, Montero G, Gonzalez-Yuste JM. Simultaneous untangling and smoothing of tetrahedral meshes. Comput Methods Appl Mech Eng 2003; 192:2775-87] with the local mesh refinement algorithm presented in [Gonzalez-Yuste JM, Montenegro R, Escobar JM, Montero G, Rodriguez E. An object oriented method for tetrahedral mesh refinement. In: Proceedings of the 3rd international conference on engineering computational technology, Praga 2002; 1-18]. The main idea consists in increasing the node number, and thus, the degrees of freedom, in the neighbourhood of the regions where the elements have poor quality. Then, we refine all the elements whose quality are below to a certain threshold. Once it is done, we initiate another stage of optimisation until the quality of the mesh reaches a limit. (c) 2005 Published by Elsevier Ltd.
ISSN: 0045-7949
DOI: 10.1016/j.compstruc.2005.03.022
Source: Computers and Structures[ISSN 0045-7949],v. 83, p. 2423-2430
Appears in Collections:Actas de congresos
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