Verification of 2D × 2D and Two-Species Vlasov-Poisson Solvers★,★★
In [2], 1D×1D two-species Vlasov-Poisson simulations are performed by the semi-Lagrangian method. Thanks to a classical first order dispersion analysis, we are able to check the validity of their simulations; the extension to second order is performed and shown to be relevant for explaining further...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
EDP Sciences
2018-01-01
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Series: | ESAIM: Proceedings and Surveys |
Online Access: | https://doi.org/10.1051/proc/201863078 |
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author | Barsamian Yann Bernier Joackim Hirstoaga Sever A. Mehrenberger Michel |
author_facet | Barsamian Yann Bernier Joackim Hirstoaga Sever A. Mehrenberger Michel |
author_sort | Barsamian Yann |
collection | DOAJ |
description | In [2], 1D×1D two-species Vlasov-Poisson simulations are performed by the semi-Lagrangian method. Thanks to a classical first order dispersion analysis, we are able to check the validity of their simulations; the extension to second order is performed and shown to be relevant for explaining further details. In order to validate multi-dimensional effects, we propose a 2D × 2D single species test problem that has true 2D effects coming from the sole second order dispersion analysis.
Finally, we perform, in the same code, full 2D × 2D non linear two-species simulations with mass ratio 0:01, and consider the mixing of semi-Lagrangian and Particle-in-Cell methods. |
first_indexed | 2024-04-11T03:28:27Z |
format | Article |
id | doaj.art-dc826faa57ed45f688bfab8eae197c71 |
institution | Directory Open Access Journal |
issn | 2267-3059 |
language | English |
last_indexed | 2024-04-11T03:28:27Z |
publishDate | 2018-01-01 |
publisher | EDP Sciences |
record_format | Article |
series | ESAIM: Proceedings and Surveys |
spelling | doaj.art-dc826faa57ed45f688bfab8eae197c712023-01-02T06:58:17ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592018-01-01637810810.1051/proc/201863078proc_esaim2018_078Verification of 2D × 2D and Two-Species Vlasov-Poisson Solvers★,★★Barsamian YannBernier JoackimHirstoaga Sever A.Mehrenberger MichelIn [2], 1D×1D two-species Vlasov-Poisson simulations are performed by the semi-Lagrangian method. Thanks to a classical first order dispersion analysis, we are able to check the validity of their simulations; the extension to second order is performed and shown to be relevant for explaining further details. In order to validate multi-dimensional effects, we propose a 2D × 2D single species test problem that has true 2D effects coming from the sole second order dispersion analysis. Finally, we perform, in the same code, full 2D × 2D non linear two-species simulations with mass ratio 0:01, and consider the mixing of semi-Lagrangian and Particle-in-Cell methods.https://doi.org/10.1051/proc/201863078 |
spellingShingle | Barsamian Yann Bernier Joackim Hirstoaga Sever A. Mehrenberger Michel Verification of 2D × 2D and Two-Species Vlasov-Poisson Solvers★,★★ ESAIM: Proceedings and Surveys |
title | Verification of 2D × 2D and Two-Species Vlasov-Poisson Solvers★,★★ |
title_full | Verification of 2D × 2D and Two-Species Vlasov-Poisson Solvers★,★★ |
title_fullStr | Verification of 2D × 2D and Two-Species Vlasov-Poisson Solvers★,★★ |
title_full_unstemmed | Verification of 2D × 2D and Two-Species Vlasov-Poisson Solvers★,★★ |
title_short | Verification of 2D × 2D and Two-Species Vlasov-Poisson Solvers★,★★ |
title_sort | verification of 2d 2d and two species vlasov poisson solvers★ ★★ |
url | https://doi.org/10.1051/proc/201863078 |
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