Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 200, Issue 1-4, Pages 89-100Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2010.07.015
Keywords
Interpolation; Conservation; Supermesh; Discontinuous Galerkin; Galerkin projection
Funding
- UK Natural Environment Research Council [NE/C52101X/1, NE/C51829X/1, NE/H527032/1]
- Imperial College High Performance Computing Service
- Oxford Super-computing Centre
- AWE through the Institute of Shock Physics
- NERC [NE/F012594/1] Funding Source: UKRI
- Natural Environment Research Council [NE/C521036/1, NE/C52101X/1, NE/F012594/1, NE/C51829X/1] Funding Source: researchfish
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The problem of interpolating between discrete fields arises frequently in computational physics. The obvious approach, consistent interpolation, has several drawbacks such as suboptimality, non-conservation, and unsuitability for use with discontinuous discretisations. An alternative, Galerkin projection, remedies these deficiencies; however, its implementation has proven very challenging. This paper presents an algorithm for the local implementation of Galerkin projection of discrete fields between meshes. This algorithm extends naturally to three dimensions and is very efficient. (C) 2010 Elsevier B.V. All rights reserved.
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