T. Adams
Level set based topology optimisation using high-order reinitialisation methods and the discontinuous Galerkin method
Adams, T.; Giani, S; Coombs, W.M.
Authors
Dr Stefano Giani stefano.giani@durham.ac.uk
Associate Professor
Professor William Coombs w.m.coombs@durham.ac.uk
Professor
Contributors
A. Faramarzi
Editor
S. Dirar
Editor
Abstract
This paper extends the work presented in [1], which presented a topology optimisation approach using the level set method (LSM) and the discontinuous Galerkin symmetric interior penalty (SIPG) method, by applying a SIPG discretisation to a number of level set reinitialisation methods. This allows the reinitialisations methods to more accurately capture the topology during reinitialisation, and thus reduce the errors introduced by such methods during the optimisation process. Currently existing methods of level set reinitialisation include an elliptic PDEbased method [2], and a hyperbolic PDE-based method [3], as well as others. This paper presents SIPG solutions to these aforementioned PDE-based reinitialisation methods.
Citation
Adams, T., Giani, S., & Coombs, W. (2017). Level set based topology optimisation using high-order reinitialisation methods and the discontinuous Galerkin method. In A. Faramarzi, & S. Dirar (Eds.), Proceedings of the 25th Conference on Computational Mechanics (UKACM 2017) : 11th – 13th April 2017, School of Engineering, University of Birmingham, Birmingham, UK (18-21)
Conference Name | 25th Conference on Computational Mechanics UKACM 2017. |
---|---|
Conference Location | Birmingham, UK |
Start Date | Apr 11, 2017 |
End Date | Apr 13, 2017 |
Publication Date | Apr 13, 2017 |
Deposit Date | Jun 7, 2017 |
Publicly Available Date | Mar 29, 2024 |
Publisher | University of Birmingham |
Pages | 18-21 |
Book Title | Proceedings of the 25th Conference on Computational Mechanics (UKACM 2017) : 11th – 13th April 2017, School of Engineering, University of Birmingham, Birmingham, UK. |
Public URL | https://durham-repository.worktribe.com/output/1147130 |
Publisher URL | http://ukacm2017.ukacm.org/wp-content/uploads/2017/04/Proceedings-UKACM2017-compressed.pdf |
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