Generation of high order geometry representations in octree meshes
Maschinenbau, University of Siegen, Siegen, Germany
- Published
- Accepted
- Subject Areas
- Computer Aided Design, Scientific Computing and Simulation
- Keywords
- polynomial approximation, discontinuous Galerkin, mesh generation, High order
- Copyright
- © 2015 Klimach et al.
- Licence
- This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, reproduction and adaptation in any medium and for any purpose provided that it is properly attributed. For attribution, the original author(s), title, publication source (PeerJ PrePrints) and either DOI or URL of the article must be cited.
- Cite this article
- 2015. Generation of high order geometry representations in octree meshes. PeerJ PrePrints 3:e1316v1 https://doi.org/10.7287/peerj.preprints.1316v1
Abstract
A robust method to obtain high order approximations of material distributions from arbitrary surface descriptions is presented. The method is used in the context of mesh generation with an octree structure and the resulting mesh and material distribution is intended to be used in a discontinuous Galerkin solver. The method is described in detail, its properties are discussed and some results from applying it to various geometries is shown. Its implementation is available in our open-source mesh generator Seeder.
Author Comment
Submitted version of this work for publication in PeerJ Computer Science but updated one in press reference, as it got published in the meantime.