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Conformal marked bisection for local refinement of n-dimensional unstructured simplicial meshes

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2211.08427 (3).pdf (13,38Mb)
 
10.1016/j.cad.2022.103419
 
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hdl:2117/385084

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Belda Ferrín, GuillemMés informacióMés informació
Ruiz Gironés, Eloi
Gargallo Peiró, AbelMés informacióMés informacióMés informació
Roca, Xevi
Document typeArticle
Defense date2022
PublisherElsevier
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 4.0 International
This work is protected by the corresponding intellectual and industrial property rights. Except where otherwise noted, its contents are licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 4.0 International
ProjectTesseract - Best Curved Adapted Meshes for Space-Time Flow Simulations (EC-H2020-715546)
Abstract
We present an n-dimensional marked bisection method for unstructured conformal meshes. We devise the method for local refinement in adaptive n-dimensional applications. To this end, we propose a mesh marking pre-process and three marked bisection stages. The pre-process marks the initial mesh conformingly. Then, in the first n−1 bisections, the method accumulates in reverse order a list of new vertices. In the second stage, the n-th bisection, the method uses the reversed list to cast the bisected simplices as reflected simplices, a simplex type suitable for newest vertex bisection. In the final stage, beyond the n-th bisection, the method switches to newest vertex bisection. To allow this switch, after the second stage, we check that under uniform bisection the mesh simplices are conformal and reflected. These conditions are sufficient to use newest vertex bisection, a bisection scheme guaranteeing key advantages for local refinement. Finally, the results show that the proposed bisection is well-suited for local refinement of unstructured conformal meshes.
CitationBelda Ferrín, G. [et al.]. Conformal marked bisection for local refinement of n-dimensional unstructured simplicial meshes. "Computer-Aided Design", 2022, vol. 154, 103419. 
URIhttp://hdl.handle.net/2117/385084
DOI10.1016/j.cad.2022.103419
ISSN0010-4485
Publisher versionhttps://www.sciencedirect.com/science/article/pii/S001044852200152X
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