Solving the guiding-center model on a regular hexagonal mesh*
This paper introduces a Semi-Lagrangian solver for the Vlasov-Poisson equations on a uniform hexagonal mesh. The latter is composed of equilateral triangles, thus it doesn’t contain any singularities, unlike polar meshes. We focus on the guiding-center model, for which...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2016-03-01
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| Series: | ESAIM: Proceedings and Surveys |
| Online Access: | http://dx.doi.org/10.1051/proc/201653010 |
| Summary: | This paper introduces a Semi-Lagrangian solver for the Vlasov-Poisson equations on a
uniform hexagonal mesh. The latter is composed of equilateral triangles, thus it doesn’t
contain any singularities, unlike polar meshes. We focus on the guiding-center model, for
which we need to develop a Poisson solver for the hexagonal mesh in addition to the Vlasov
solver. For the interpolation step of the Semi-Lagrangian scheme, a comparison is made
between the use of Box-splines and of Hermite finite elements. The code will be adapted to
more complex models and geometries in the future. |
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| ISSN: | 2267-3059 |