Conservative interpolation between volume meshes by local Galerkin projection

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 proje...

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Bibliographic Details
Published inComputer methods in applied mechanics and engineering Vol. 200; no. 1-4; pp. 89 - 100
Main Authors FARRELL, P. E, MADDISON, J. R
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier 2011
Subjects
Algorithms
Computation
Exact sciences and technology
Galerkin methods
Interpolation
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Projection
Remedies
Sciences and techniques of general use
Three dimensional
Discontinuity
Discontinuous Galerkin
Interpolation
Suboptimal control
Volume
Conservation
Galerkin method
Galerkin projection
Modeling
Supermesh
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Summary: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.
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ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2010.07.015