A discrete 2-D Formulation for 3-D Field Problems with Continuous Symmetry

We describe a general formalism that allows to reduce the spatial dimension of a field problem from 3-D to (2+1)-D. Subsequently we identify conditions under which the third dimension can be eliminated.We see that the resulting 2-D field problems only decouple if an orthogonality criterion is fulfil...

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Detalles Bibliográficos
Autores principales: Auchmann, B, Flemisch, B, Kurz, S
Lenguaje:eng
Publicado: 2010
Materias:
Accelerators and Storage Rings
Acceso en línea:https://dx.doi.org/10.1109/TMAG.2010.2045224
http://cds.cern.ch/record/1282387
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author Auchmann, B
Flemisch, B
Kurz, S
author_facet Auchmann, B
Flemisch, B
Kurz, S
author_sort Auchmann, B
collection CERN
description We describe a general formalism that allows to reduce the spatial dimension of a field problem from 3-D to (2+1)-D. Subsequently we identify conditions under which the third dimension can be eliminated.We see that the resulting 2-D field problems only decouple if an orthogonality criterion is fulfilled.The approach is based solely on differential-form calculus and can therefore be easily transferred into a discrete setting. As a numerical example we compute the field of twisted wires.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2010
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spelling cern-12823872019-09-30T06:29:59Zdoi:10.1109/TMAG.2010.2045224http://cds.cern.ch/record/1282387engAuchmann, BFlemisch, BKurz, SA discrete 2-D Formulation for 3-D Field Problems with Continuous SymmetryAccelerators and Storage RingsWe describe a general formalism that allows to reduce the spatial dimension of a field problem from 3-D to (2+1)-D. Subsequently we identify conditions under which the third dimension can be eliminated.We see that the resulting 2-D field problems only decouple if an orthogonality criterion is fulfilled.The approach is based solely on differential-form calculus and can therefore be easily transferred into a discrete setting. As a numerical example we compute the field of twisted wires.CERN-ATS-2010-165oai:cds.cern.ch:12823872010-02-01
spellingShingle Accelerators and Storage Rings
Auchmann, B
Flemisch, B
Kurz, S
A discrete 2-D Formulation for 3-D Field Problems with Continuous Symmetry
title A discrete 2-D Formulation for 3-D Field Problems with Continuous Symmetry
title_full A discrete 2-D Formulation for 3-D Field Problems with Continuous Symmetry
title_fullStr A discrete 2-D Formulation for 3-D Field Problems with Continuous Symmetry
title_full_unstemmed A discrete 2-D Formulation for 3-D Field Problems with Continuous Symmetry
title_short A discrete 2-D Formulation for 3-D Field Problems with Continuous Symmetry
title_sort discrete 2-d formulation for 3-d field problems with continuous symmetry
topic Accelerators and Storage Rings
url https://dx.doi.org/10.1109/TMAG.2010.2045224
http://cds.cern.ch/record/1282387
work_keys_str_mv AT auchmannb adiscrete2dformulationfor3dfieldproblemswithcontinuoussymmetry
AT flemischb adiscrete2dformulationfor3dfieldproblemswithcontinuoussymmetry
AT kurzs adiscrete2dformulationfor3dfieldproblemswithcontinuoussymmetry
AT auchmannb discrete2dformulationfor3dfieldproblemswithcontinuoussymmetry
AT flemischb discrete2dformulationfor3dfieldproblemswithcontinuoussymmetry
AT kurzs discrete2dformulationfor3dfieldproblemswithcontinuoussymmetry

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