Aufsatz
Artikel (Publikationen im Open Access gefördert durch die UB)
Meshing highly regular structures: The case of super carbon nanotubes of arbitrary order
Zusammenfassung
Mesh generation is an important step inmany numerical methods.We present the “HierarchicalGraphMeshing” (HGM)method as a novel approach to mesh generation, based on algebraic graph theory.The HGM method can be used to systematically construct configurations exhibiting multiple hierarchies and complex symmetry characteristics. The hierarchical description of structures provided by the HGM method can be exploited to increase the efficiency of multiscale and multigrid methods. In this paper, the HGM method is employed for the systematic construction of super carbon nanotubes of arbitrary order, which present a pertinent example of structurally and geometrically complex, yet highly regular, structures. The HGMalgorithm is computationally efficient and exhibits good scaling characteristics. In particular, it scales linearly for super carbon nanotube structures and is working much faster than geometry-based methods employing neighborhood search algorithms. Its modular character makes it conducive to automatization. For the generation of a mesh, the information about the geometry of the structure in a given configuration is added in a way that relates geometric symmetries to structural symmetries. The intrinsically hierarchic description of the resulting mesh greatly reduces the effort of determining mesh hierarchies for multigrid and multiscale applications and helps to exploit symmetry-related methods in the mechanical analysis of complex structures.
Zitierform
In: Journal of nanomaterials. - New York, NY : Hindawi Publ., Vol. 2015, 736943, 1-26Förderhinweis
Gefördert durch den Publikationsfonds der Universität KasselSammlung(en)
Publikationen (Fachgebiet Baustatik)Artikel (Publikationen im Open Access gefördert durch die UB)
Zitieren
@article{urn:nbn:de:hebis:34-2016011849643,
author={Schröppel, Christian and Wackerfuß, Jens},
title={Meshing highly regular structures: The case of super carbon nanotubes of arbitrary order},
year={2015}
}
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2016-01-18T14:52:17Z 2016-01-18T14:52:17Z 2015 1687-4129 urn:nbn:de:hebis:34-2016011849643 http://hdl.handle.net/123456789/2016011849643 Gefördert durch den Publikationsfonds der Universität Kassel eng Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ 620 Meshing highly regular structures: The case of super carbon nanotubes of arbitrary order Aufsatz Mesh generation is an important step inmany numerical methods.We present the “HierarchicalGraphMeshing” (HGM)method as a novel approach to mesh generation, based on algebraic graph theory.The HGM method can be used to systematically construct configurations exhibiting multiple hierarchies and complex symmetry characteristics. The hierarchical description of structures provided by the HGM method can be exploited to increase the efficiency of multiscale and multigrid methods. In this paper, the HGM method is employed for the systematic construction of super carbon nanotubes of arbitrary order, which present a pertinent example of structurally and geometrically complex, yet highly regular, structures. The HGMalgorithm is computationally efficient and exhibits good scaling characteristics. In particular, it scales linearly for super carbon nanotube structures and is working much faster than geometry-based methods employing neighborhood search algorithms. Its modular character makes it conducive to automatization. For the generation of a mesh, the information about the geometry of the structure in a given configuration is added in a way that relates geometric symmetries to structural symmetries. The intrinsically hierarchic description of the resulting mesh greatly reduces the effort of determining mesh hierarchies for multigrid and multiscale applications and helps to exploit symmetry-related methods in the mechanical analysis of complex structures. open access In: Journal of nanomaterials. - New York, NY : Hindawi Publ., Vol. 2015, 736943, 1-26 Schröppel, Christian Wackerfuß, Jens doi:10.1155/2015/736943
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