Locally conservative projection methods: benchmarking and practical implementation
ISSN: 0332-1649
Article publication date: 1 January 2014
Abstract
Purpose
This article presents a locally conservative projection method which aims to preserve the integral of a function and one operator among grad, div, or curl.
Design/methodology/approach
After a theoretical description of the projection methods, the locally conservative projection is analytically tested and compared with the orthogonal method. In the second part, the implementation of the methods is described, and improvements are proposed. An industrial application of the present work, consisting in a magneto-thermal coupled problem, is then presented.
Findings
The implementation of the conservative method is simpler than the implementation of the orthogonal method while presenting similar behaviour in terms of accuracy and conservation.
Originality/value
The locally conservative method is extended to curl-conform and div-conform elements. Furthermore, three-dimensional studies are proposed.
Keywords
Citation
Alexandre Journeaux, A., Nemitz, N. and Moreau, O. (2014), "Locally conservative projection methods: benchmarking and practical implementation", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 33 No. 1/2, pp. 663-687. https://doi.org/10.1108/COMPEL-03-2013-0091
Publisher
:Emerald Group Publishing Limited
Copyright © 2014, Emerald Group Publishing Limited