Conservative interpolation between volume meshes by local Galerkin projection

P. E. Farrell*, J. R. Maddison

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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.

Original languageEnglish
Pages (from-to)89-100
Number of pages12
JournalComputer Methods in Applied Mechanics and Engineering
Volume200
Issue number1-4
DOIs
Publication statusPublished - 2011

Keywords / Materials (for Non-textual outputs)

  • ALGORITHMS
  • Galerkin projection
  • SIMULATIONS
  • FLOW
  • FINITE-ELEMENT PAIR
  • Conservation
  • ADAPTIVITY
  • Supermesh
  • Discontinuous Galerkin
  • Interpolation

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