Conformal marked bisection for local refinement of n-dimensional unstructured conformal meshes
Visualitza/Obre
Cita com:
hdl:2117/383019
Tipus de documentArticle
Data publicació2023-01-01
EditorElsevier
Condicions d'accésAccés obert
Llevat que s'hi indiqui el contrari, els
continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
:
Reconeixement 4.0 Internacional
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.
CitacióBelda-Ferrín, G. [et al.]. Conformal marked bisection for local refinement of n-dimensional unstructured conformal meshes. "Computer aided design", 1 Gener 2023, vol. 154, núm. 103419.
ISSN0010-4485
Versió de l'editorhttps://www.sciencedirect.com/science/article/pii/S001044852200152X
Fitxers | Descripció | Mida | Format | Visualitza |
---|---|---|---|---|
2211.08427.pdf | 13,38Mb | Visualitza/Obre |