On the Link between Mesh Size Adaptation and Irregular Vertices

Daniel Zint; Roberto Grosso

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Paper

On the Link between Mesh Size Adaptation and Irregular Vertices

Topics: Fundamental Methods and Algorithms; Modeling and Algorithms

In Proceedings of the 16th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications - Volume 1: VISIGRAPP, 67-74, 2021

Authors: Daniel Zint and Roberto Grosso

Affiliation: Visual Computing, Friedrich-Alexander Universität Erlangen-Nürnberg, Cauerstr. 11, 91058 Erlangen, Germany

Keyword(s): Mesh Generation, Block-structured Grids, Irregular Vertices.

Abstract: In numerical simulations and computer graphics meshes are often required to have varying element sizes. High resolution, i.e. small elements, should be only used where necessary. The transition between element sizes requires introducing irregular vertices. In this work, we examine the occurance of irregular vertices in transition regions by setting up an advancing front triangulation that generates optimal transitions. We establish a relation between the appearance of irregular vertices and the properties of the size function and show that a linear transition between different element sizes can be achieved without any singularities on the interior of the transition. Therefore, we can optimize triangulations by setting transition fronts accordingly. These results are used to estimate properties of block-structured grids, e.g. how many blocks are required to represent a given domain correctly.

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Paper citation in several formats:

Zint, D. and Grosso, R. (2021). On the Link between Mesh Size Adaptation and Irregular Vertices. In Proceedings of the 16th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2021) - GRAPP; ISBN 978-989-758-488-6; ISSN 2184-4321, SciTePress, pages 67-74. DOI: 10.5220/0010259200670074

@conference{grapp21,
author={Daniel Zint. and Roberto Grosso.},
title={On the Link between Mesh Size Adaptation and Irregular Vertices},
booktitle={Proceedings of the 16th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2021) - GRAPP},
year={2021},
pages={67-74},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0010259200670074},
isbn={978-989-758-488-6},
issn={2184-4321},
}

TY - CONF

JO - Proceedings of the 16th International Joint Conference on Computer Vision, Imaging and Computer Graphics Theory and Applications (VISIGRAPP 2021) - GRAPP
TI - On the Link between Mesh Size Adaptation and Irregular Vertices
SN - 978-989-758-488-6
IS - 2184-4321
AU - Zint, D.
AU - Grosso, R.
PY - 2021
SP - 67
EP - 74
DO - 10.5220/0010259200670074
PB - SciTePress