Structure-preserving finite element approximations of a hybrid relativistic cold fluid-particle model
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918159591669760 |
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| author | Mukhamet, Tileuzhan Kormann, Katharina |
| author_facet | Mukhamet, Tileuzhan Kormann, Katharina |
| contents | We derive mixed finite element discretizations of a cold relativistics fluid model from approximations of the Poisson bracket that preserve mass, energy and the divergence constraints. For time-discretization we derive an implicit energy-conserving average-vector field method or apply an explicit strong-stability preserving Runge-Kutta scheme. We also consider a coupling of the fluid model to relativistic particles. We perform a numerical study of the scheme which shows convergence and conservation properties of the proposed methods and apply the new scheme to a plasma wake field simulation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_11500 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Structure-preserving finite element approximations of a hybrid relativistic cold fluid-particle model Mukhamet, Tileuzhan Kormann, Katharina Numerical Analysis Computational Physics We derive mixed finite element discretizations of a cold relativistics fluid model from approximations of the Poisson bracket that preserve mass, energy and the divergence constraints. For time-discretization we derive an implicit energy-conserving average-vector field method or apply an explicit strong-stability preserving Runge-Kutta scheme. We also consider a coupling of the fluid model to relativistic particles. We perform a numerical study of the scheme which shows convergence and conservation properties of the proposed methods and apply the new scheme to a plasma wake field simulation. |
| title | Structure-preserving finite element approximations of a hybrid relativistic cold fluid-particle model |
| topic | Numerical Analysis Computational Physics |
| url | https://arxiv.org/abs/2510.11500 |