Adams, T. and Giani, S and Coombs, W.M. (2017) 'Level set based topology optimisation using high-order reinitialisation methods and the discontinuous Galerkin method.', in Proceedings of the 25th Conference on Computational Mechanics (UKACM 2017) : 11th – 13th April 2017, School of Engineering, University of Birmingham, Birmingham, UK. Birmingham: University of Birmingham, pp. 18-21.
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.
| Item Type: | Book chapter |
|---|---|
| Full text: | Publisher-imposed embargo (AM) Accepted Manuscript File format - PDF (404Kb) |
| Status: | Peer-reviewed |
| Publisher Web site: | http://ukacm2017.ukacm.org/wp-content/uploads/2017/04/Proceedings-UKACM2017-compressed.pdf |
| Date accepted: | No date available |
| Date deposited: | 07 June 2017 |
| Date of first online publication: | 2017 |
| Date first made open access: | No date available |
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