Conservative interpolation between volume meshes by local Galerkin projection

P. E. Farrell; J. R. Maddison

doi:10.1016/j.cma.2010.07.015

Conservative interpolation between volume meshes by local Galerkin projection

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

^*Corresponding author for this work

School of Mathematics

Research output: Contribution to journal › Article › peer-review

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. (C) 2010 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	89-100
Number of pages	12
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	200
Issue number	1-4
DOIs	https://doi.org/10.1016/j.cma.2010.07.015
Publication status	Published - 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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10.1016/j.cma.2010.07.015

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title = "Conservative interpolation between volume meshes by local Galerkin projection",

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. (C) 2010 Elsevier B.V. All rights reserved.",

keywords = "ALGORITHMS, Galerkin projection, SIMULATIONS, FLOW, FINITE-ELEMENT PAIR, Conservation, ADAPTIVITY, Supermesh, Discontinuous Galerkin, Interpolation",

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year = "2011",

doi = "10.1016/j.cma.2010.07.015",

language = "English",

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issn = "0045-7825",

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T1 - Conservative interpolation between volume meshes by local Galerkin projection

AU - Farrell, P. E.

AU - Maddison, J. R.

PY - 2011

Y1 - 2011

N2 - 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.

AB - 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.

KW - ALGORITHMS

KW - Galerkin projection

KW - SIMULATIONS

KW - FLOW

KW - FINITE-ELEMENT PAIR

KW - Conservation

KW - ADAPTIVITY

KW - Supermesh

KW - Discontinuous Galerkin

KW - Interpolation

U2 - 10.1016/j.cma.2010.07.015

DO - 10.1016/j.cma.2010.07.015

M3 - Article

SN - 0045-7825

VL - 200

SP - 89

EP - 100

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 1-4

ER -

Conservative interpolation between volume meshes by local Galerkin projection

Abstract

Keywords / Materials (for Non-textual outputs)

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