A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties
Fuente:
arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
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| _version_ | 1866916242417254400 |
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| author | Krah, Philipp Yin, Xi-Yuan Bergmann, Julius Nave, Jean-Christophe Schneider, Kai |
| author_facet | Krah, Philipp Yin, Xi-Yuan Bergmann, Julius Nave, Jean-Christophe Schneider, Kai |
| contents | We propose an efficient semi-Lagrangian characteristic mapping method for solving the one+one-dimensional Vlasov-Poisson equations with high precision on a coarse grid. The flow map is evolved numerically and exponential resolution in linear time is obtained. Global third-order convergence in space and time is shown and conservation properties are assessed. For benchmarking, we consider linear and nonlinear Landau damping and the two-stream instability. We compare the results with a Fourier pseudo-spectral method. The extreme fine-scale resolution features are illustrated showing the method's capabilities to efficiently treat filamentation in fusion plasma simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_09379 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties Krah, Philipp Yin, Xi-Yuan Bergmann, Julius Nave, Jean-Christophe Schneider, Kai Numerical Analysis Computational Physics Plasma Physics We propose an efficient semi-Lagrangian characteristic mapping method for solving the one+one-dimensional Vlasov-Poisson equations with high precision on a coarse grid. The flow map is evolved numerically and exponential resolution in linear time is obtained. Global third-order convergence in space and time is shown and conservation properties are assessed. For benchmarking, we consider linear and nonlinear Landau damping and the two-stream instability. We compare the results with a Fourier pseudo-spectral method. The extreme fine-scale resolution features are illustrated showing the method's capabilities to efficiently treat filamentation in fusion plasma simulations. |
| title | A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties |
| topic | Numerical Analysis Computational Physics Plasma Physics |
| url | https://arxiv.org/abs/2311.09379 |