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Engineering with Computers
Erschienen in: Engineering with Computers 4/2018

30.11.2017 | Original Article

Optimizing triangular high-order surface meshes by energy-minimization

verfasst von: Karsten Bock, Jörg Stiller

Erschienen in: Engineering with Computers | Ausgabe 4/2018

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Abstract

High-order methods are increasingly popular in computational fluid dynamics, but the construction of suitable curvilinear meshes still remains a challenge. This paper presents a strictly local optimization method to construct high-order triangular surface patches of high quality and accuracy. It combines fitting and energy-minimization, in which approximate bending and stretching functionals are minimized by means of an incremental procedure. The method was applied to analytically defined smooth surfaces as well as scattered surface data derived from scanning data. In both cases the optimization yielded considerable improvements in patch quality, while preserving the accuracy of pure least-squares fitting. As intended, the method achieves the greatest benefit with coarse meshes and high polynomial order.
Vorheriger Artikel Mesh size effect on finite-element modeling of blast-loaded reinforced concrete slab
Nächster Artikel Adaptive stability transformation method of chaos control for first order reliability method

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Metadaten
Titel
Optimizing triangular high-order surface meshes by energy-minimization
verfasst von
Karsten Bock
Jörg Stiller
Publikationsdatum
30.11.2017
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 4/2018
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-017-0565-3

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