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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| Published in | Computer methods in applied mechanics and engineering Vol. 200; no. 1-4; pp. 89 - 100 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Kidlington
Elsevier
2011
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| Subjects | |
| Online Access | Get full text |
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| Abstract | 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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| AbstractList | 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. |
| Author | FARRELL, P. E MADDISON, J. R |
| Author_xml | – sequence: 1 givenname: P. E surname: FARRELL fullname: FARRELL, P. E organization: Applied Modelling and Computation Group, Department of Earth Science and Engineering, Royal School of Mines, Imperial College London, London SW7 2AZ, United Kingdom – sequence: 2 givenname: J. R surname: MADDISON fullname: MADDISON, J. R organization: Atmospheric, Oceanic and Planetary Physics, Department of Physics, University of Oxford, Oxford OX1 3PU, United Kingdom |
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| Keywords | Discontinuity Discontinuous Galerkin Interpolation Suboptimal control Volume Conservation Galerkin method Galerkin projection Modeling Supermesh |
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| SubjectTerms | 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 |
| Title | Conservative interpolation between volume meshes by local Galerkin projection |
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