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...

Full description

Bibliographic Details
Main Authors: Barsamian Yann, Bernier Joackim, Hirstoaga Sever A., Mehrenberger Michel
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:ESAIM: Proceedings and Surveys
Online Access:https://doi.org/10.1051/proc/201863078
_version_ 1797971243763236864
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
work_keys_str_mv AT barsamianyann verificationof2d2dandtwospeciesvlasovpoissonsolvers
AT bernierjoackim verificationof2d2dandtwospeciesvlasovpoissonsolvers
AT hirstoagasevera verificationof2d2dandtwospeciesvlasovpoissonsolvers
AT mehrenbergermichel verificationof2d2dandtwospeciesvlasovpoissonsolvers