Fulfillment of the kinetic Bohm criterion in a quasineutral particle-in-cell model
Quasineutral particle-in-cell models of ions must fulfill the kinetic Bohm criterion, in its inequality form, at the domain boundary in order to match correctly with solutions of the Debye sheaths tied to the walls. The simple, fluid form of the Bohm criterion is shown to be a bad approximation of t...
| Main Authors: | , , |
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| 格式: | Journal article |
| 语言: | English |
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2010
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| _version_ | 1826305068836585472 |
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| author | Ahedo, E Santos, R Parra, F |
| author_facet | Ahedo, E Santos, R Parra, F |
| author_sort | Ahedo, E |
| collection | OXFORD |
| description | Quasineutral particle-in-cell models of ions must fulfill the kinetic Bohm criterion, in its inequality form, at the domain boundary in order to match correctly with solutions of the Debye sheaths tied to the walls. The simple, fluid form of the Bohm criterion is shown to be a bad approximation of the exact, kinetic form when the ion velocity distribution function has a significant dispersion and involves different charge numbers. The fulfillment of the Bohm criterion is measured by a weighting algorithm at the boundary, but linear weighting algorithms have difficulties to reproduce the nonlinear behavior around the sheath edge. A surface weighting algorithm with an extended temporal weighting is proposed and shown to behave better than the standard volumetric weighting. Still, this must be supplemented by a forcing algorithm of the kinetic Bohm criterion. This postulates a small potential fall in a supplementary, thin, transition layer. The electron-wall interaction is shown to be of little relevance in the fulfillment of the Bohm criterion. © 2010 American Institute of Physics. |
| first_indexed | 2024-03-07T06:27:15Z |
| format | Journal article |
| id | oxford-uuid:f4baf27e-1e4e-4c15-ab8d-144b14ed7981 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:27:15Z |
| publishDate | 2010 |
| record_format | dspace |
| spelling | oxford-uuid:f4baf27e-1e4e-4c15-ab8d-144b14ed79812022-03-27T12:22:00ZFulfillment of the kinetic Bohm criterion in a quasineutral particle-in-cell modelJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f4baf27e-1e4e-4c15-ab8d-144b14ed7981EnglishSymplectic Elements at Oxford2010Ahedo, ESantos, RParra, FQuasineutral particle-in-cell models of ions must fulfill the kinetic Bohm criterion, in its inequality form, at the domain boundary in order to match correctly with solutions of the Debye sheaths tied to the walls. The simple, fluid form of the Bohm criterion is shown to be a bad approximation of the exact, kinetic form when the ion velocity distribution function has a significant dispersion and involves different charge numbers. The fulfillment of the Bohm criterion is measured by a weighting algorithm at the boundary, but linear weighting algorithms have difficulties to reproduce the nonlinear behavior around the sheath edge. A surface weighting algorithm with an extended temporal weighting is proposed and shown to behave better than the standard volumetric weighting. Still, this must be supplemented by a forcing algorithm of the kinetic Bohm criterion. This postulates a small potential fall in a supplementary, thin, transition layer. The electron-wall interaction is shown to be of little relevance in the fulfillment of the Bohm criterion. © 2010 American Institute of Physics. |
| spellingShingle | Ahedo, E Santos, R Parra, F Fulfillment of the kinetic Bohm criterion in a quasineutral particle-in-cell model |
| title | Fulfillment of the kinetic Bohm criterion in a quasineutral particle-in-cell model |
| title_full | Fulfillment of the kinetic Bohm criterion in a quasineutral particle-in-cell model |
| title_fullStr | Fulfillment of the kinetic Bohm criterion in a quasineutral particle-in-cell model |
| title_full_unstemmed | Fulfillment of the kinetic Bohm criterion in a quasineutral particle-in-cell model |
| title_short | Fulfillment of the kinetic Bohm criterion in a quasineutral particle-in-cell model |
| title_sort | fulfillment of the kinetic bohm criterion in a quasineutral particle in cell model |
| work_keys_str_mv | AT ahedoe fulfillmentofthekineticbohmcriterioninaquasineutralparticleincellmodel AT santosr fulfillmentofthekineticbohmcriterioninaquasineutralparticleincellmodel AT parraf fulfillmentofthekineticbohmcriterioninaquasineutralparticleincellmodel |