Dynamic constraint enforcement in plasma environments
In certain plasma environments, such as that surrounding a pulsar, the electric and magnetic fields align orthogonally. In this document we discuss and derive several constraints, of particular importance the force free constraint found in certain plasma environments. We introduce Maxwell’s equation...
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ndltd-LACETR-oai-collectionscanada.gc.ca-OGU.10214-28452013-10-04T04:13:31ZDynamic constraint enforcement in plasma environmentsBarriault, Michaelelectromagnetismastrophysicsnumerical analysiscomputer sciencedifferential equationsIn certain plasma environments, such as that surrounding a pulsar, the electric and magnetic fields align orthogonally. In this document we discuss and derive several constraints, of particular importance the force free constraint found in certain plasma environments. We introduce Maxwell’s equations in a covariant, coordinate-free form. We showcase methods to enforce this constraint, first with a straightforward method then by a new, dynamical method. Finally we compare and contrast the two methods in an approximation of a small region above a pulsar.Thesis to fulfill requirements for the Master of Science degree.Lehner, Luis2011-07-282011-08-23T16:58:05Z2011-08-23T16:58:05Z2011-08-23Thesishttp://hdl.handle.net/10214/2845enhttp://creativecommons.org/licenses/by-nc-sa/2.5/ca/ |
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en |
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electromagnetism astrophysics numerical analysis computer science differential equations |
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electromagnetism astrophysics numerical analysis computer science differential equations Barriault, Michael Dynamic constraint enforcement in plasma environments |
description |
In certain plasma environments, such as that surrounding a pulsar, the electric and magnetic fields align orthogonally. In this document we discuss and derive several constraints, of particular importance the force free constraint found in certain plasma environments. We introduce Maxwell’s equations in a covariant, coordinate-free form. We showcase methods to enforce this constraint, first with a straightforward method then by a new, dynamical method. Finally we compare and contrast the two methods in an approximation of a small region above a pulsar. === Thesis to fulfill requirements for the Master of Science degree. |
author2 |
Lehner, Luis |
author_facet |
Lehner, Luis Barriault, Michael |
author |
Barriault, Michael |
author_sort |
Barriault, Michael |
title |
Dynamic constraint enforcement in plasma environments |
title_short |
Dynamic constraint enforcement in plasma environments |
title_full |
Dynamic constraint enforcement in plasma environments |
title_fullStr |
Dynamic constraint enforcement in plasma environments |
title_full_unstemmed |
Dynamic constraint enforcement in plasma environments |
title_sort |
dynamic constraint enforcement in plasma environments |
publishDate |
2011 |
url |
http://hdl.handle.net/10214/2845 |
work_keys_str_mv |
AT barriaultmichael dynamicconstraintenforcementinplasmaenvironments |
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1716601621674196992 |