Splitting scheme for gyro-kinetic equations with Semi-Lagrangian and Arakawa substeps
The gyro-kinetic model is an approximation of the Vlasov-Maxwell system in a strongly magnetized magnetic field. We propose a new algorithm for solving it combining the Semi-Lagrangian (SL) method and the Arakawa (AKW) scheme with a time-integrator. Both methods are successfully used in practice for...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2024-01-01
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| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | https://www.esaim-proc.org/articles/proc/pdf/2024/02/proc2407701.pdf |
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| author | Bell Dominik Pinto Martin Campos Kumozec Davor Schnack Frederik Bourne Emily Sonnendrücker Eric |
| author_facet | Bell Dominik Pinto Martin Campos Kumozec Davor Schnack Frederik Bourne Emily Sonnendrücker Eric |
| author_sort | Bell Dominik |
| collection | DOAJ |
| description | The gyro-kinetic model is an approximation of the Vlasov-Maxwell system in a strongly magnetized magnetic field. We propose a new algorithm for solving it combining the Semi-Lagrangian (SL) method and the Arakawa (AKW) scheme with a time-integrator. Both methods are successfully used in practice for different kinds of applications, in our case, we combine them by first decomposing the problem into a fast (parallel) and a slow (perpendicular) dynamical system. The SL approach and the AKW scheme will be used to solve respectively the fast and the slow subsystems. Compared to the scheme in [1], where the entire model is solved using only the SL method, our goal is to replace the method used in the slow subsystem by the AKW scheme, in order to improve the conservation of the physical constants. |
| format | Article |
| id | doaj-art-0ea2d8f6f9c54bd5aad95a31680ae14f |
| institution | OA Journals |
| issn | 2267-3059 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | ESAIM: Proceedings and Surveys |
| spelling | doaj-art-0ea2d8f6f9c54bd5aad95a31680ae14f2025-08-20T02:19:16ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592024-01-017722410.1051/proc/202477002proc2407701Splitting scheme for gyro-kinetic equations with Semi-Lagrangian and Arakawa substepsBell Dominik0Pinto Martin Campos1Kumozec Davor2Schnack Frederik3Bourne Emily4Sonnendrücker Eric5Max-Planck-Institut für PlasmaphysikMax-Planck-Institut für PlasmaphysikFaculty of Sciences, University of Novi SadMax-Planck-Institut für PlasmaphysikCEA, IRFMMax-Planck-Institut für PlasmaphysikThe gyro-kinetic model is an approximation of the Vlasov-Maxwell system in a strongly magnetized magnetic field. We propose a new algorithm for solving it combining the Semi-Lagrangian (SL) method and the Arakawa (AKW) scheme with a time-integrator. Both methods are successfully used in practice for different kinds of applications, in our case, we combine them by first decomposing the problem into a fast (parallel) and a slow (perpendicular) dynamical system. The SL approach and the AKW scheme will be used to solve respectively the fast and the slow subsystems. Compared to the scheme in [1], where the entire model is solved using only the SL method, our goal is to replace the method used in the slow subsystem by the AKW scheme, in order to improve the conservation of the physical constants.https://www.esaim-proc.org/articles/proc/pdf/2024/02/proc2407701.pdf |
| spellingShingle | Bell Dominik Pinto Martin Campos Kumozec Davor Schnack Frederik Bourne Emily Sonnendrücker Eric Splitting scheme for gyro-kinetic equations with Semi-Lagrangian and Arakawa substeps ESAIM: Proceedings and Surveys |
| title | Splitting scheme for gyro-kinetic equations with Semi-Lagrangian and Arakawa substeps |
| title_full | Splitting scheme for gyro-kinetic equations with Semi-Lagrangian and Arakawa substeps |
| title_fullStr | Splitting scheme for gyro-kinetic equations with Semi-Lagrangian and Arakawa substeps |
| title_full_unstemmed | Splitting scheme for gyro-kinetic equations with Semi-Lagrangian and Arakawa substeps |
| title_short | Splitting scheme for gyro-kinetic equations with Semi-Lagrangian and Arakawa substeps |
| title_sort | splitting scheme for gyro kinetic equations with semi lagrangian and arakawa substeps |
| url | https://www.esaim-proc.org/articles/proc/pdf/2024/02/proc2407701.pdf |
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