A 2D finite element wave equation solver based on triangular base elements

Van Eester, D; Lerche, E; Evrard, M

doi:10.1063/1.3273822

Title: A 2D finite element wave equation solver based on triangular base elements

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Abstract

A finite element method based on the subdivision of the physical domain in triangular sub-domains in which simple local 'areale' coordinates are adopted is explored. The advantage of the method is that it straightforwardly allows grid refinement in regions where higher precision is required. The plasma model was kept simple for this 'proof-of-principle' exercise. Rather than accounting for the actual differential or integro-differential dielectric tensor, its locally uniform plasma equivalent was adopted for 3 possible choices: the cold plasma response, the full hot Stix/Swanson plasma tensor retaining all orders in finite Larmor radius (FLR) and the more common hot tensor, truncated at terms of second order in the Larmor radius.

Authors:

Van Eester, D; Lerche, E; Evrard, M ^[1]

Laboratory for Plasma Physics, Association EURATOM-Belgian State, TEC Partner, Royal Military Academy, B-1000 Brussels (Belgium)

Publication Date:: Thu Nov 26 00:00:00 EST 2009

OSTI Identifier:: 21335798

Resource Type:: Journal Article

Journal Name:: AIP Conference Proceedings

Additional Journal Information:: Journal Volume: 1187; Journal Issue: 1; Conference: 18. topical conference on radio frequency power in plasmas, Gent (Belgium), 24-26 Jun 2009; Other Information: DOI: 10.1063/1.3273822; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; COLD PLASMA; DIELECTRIC TENSOR; FINITE ELEMENT METHOD; INTEGRAL EQUATIONS; LARMOR RADIUS; RF SYSTEMS; TOKAMAK DEVICES; WAVE EQUATIONS

Citation Formats


                    Van Eester, D, Lerche, E, and Evrard, M. A 2D finite element wave equation solver based on triangular base elements.  United States: N. p., 2009. 
        Web.  doi:10.1063/1.3273822.

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                    Van Eester, D, Lerche, E, & Evrard, M. A 2D finite element wave equation solver based on triangular base elements.  United States.  https://doi.org/10.1063/1.3273822

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                    Van Eester, D, Lerche, E, and Evrard, M. 2009.  
        "A 2D finite element wave equation solver based on triangular base elements".  United States.  https://doi.org/10.1063/1.3273822.

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@article{osti_21335798,

  title        = {A 2D finite element wave equation solver based on triangular base elements},

  author       = {Van Eester, D and Lerche, E and Evrard, M},

  abstractNote = {A finite element method based on the subdivision of the physical domain in triangular sub-domains in which simple local 'areale' coordinates are adopted is explored. The advantage of the method is that it straightforwardly allows grid refinement in regions where higher precision is required. The plasma model was kept simple for this 'proof-of-principle' exercise. Rather than accounting for the actual differential or integro-differential dielectric tensor, its locally uniform plasma equivalent was adopted for 3 possible choices: the cold plasma response, the full hot Stix/Swanson plasma tensor retaining all orders in finite Larmor radius (FLR) and the more common hot tensor, truncated at terms of second order in the Larmor radius.},

  doi          = {10.1063/1.3273822},

  url          = {https://www.osti.gov/biblio/21335798},
  journal      = {AIP Conference Proceedings},

  issn         = {0094-243X},

  number       = 1,

  volume       = 1187,

  place        = {United States},

  year         = {Thu Nov 26 00:00:00 EST 2009},

  month        = {Thu Nov 26 00:00:00 EST 2009}

}

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https://doi.org/10.1063/1.3273822

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