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Curvilinear mesh generation using a variational framework.
- Source :
-
Computer-Aided Design . Oct2018, Vol. 103, p73-91. 19p. - Publication Year :
- 2018
-
Abstract
- We aim to tackle the challenge of generating unstructured high-order meshes of complex three-dimensional bodies, which remains a significant bottleneck in the wider adoption of high-order methods. In particular we show that by adopting a variational approach to the generation process, many of the current popular high-order generation methods can be encompassed under a single unifying framework. This allows us to compare the effectiveness of these methods and to assess the quality of the meshes they produce in a systematic fashion. We present a detailed overview of the theory and formulation of the variational framework, and we highlight how such formulation can be effectively exploited to yield a highly-efficient parallel implementation. The effectiveness of this approach is examined by considering a number of two- and three-dimensional examples, where we show how the proposed approach can be used for both mesh quality optimisation and untangling of invalid high-order meshes. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00104485
- Volume :
- 103
- Database :
- Academic Search Index
- Journal :
- Computer-Aided Design
- Publication Type :
- Academic Journal
- Accession number :
- 130124109
- Full Text :
- https://doi.org/10.1016/j.cad.2017.10.004