An Explicit Energy-Conserving Particle Method for the Vlasov-Fokker-Planck Equation
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908577147387904 |
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| author | Yoo, Jiyoung Hu, Jingwei Ricketson, Lee F. |
| author_facet | Yoo, Jiyoung Hu, Jingwei Ricketson, Lee F. |
| contents | We propose an explicit particle method for the Vlasov-Fokker-Planck equation that conserves energy at the fully discrete level. The method features two key components: a deterministic and conservative particle discretization for the nonlinear Fokker-Planck operator (also known as the Lenard-Bernstein or Dougherty operator), and a second-order explicit time integrator that ensures energy conservation through an accuracy-justifiable correction. We validate the method on several plasma benchmarks, including collisional Landau damping and two-stream instability, demonstrating its effectiveness. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_03960 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Explicit Energy-Conserving Particle Method for the Vlasov-Fokker-Planck Equation Yoo, Jiyoung Hu, Jingwei Ricketson, Lee F. Plasma Physics Mathematical Physics We propose an explicit particle method for the Vlasov-Fokker-Planck equation that conserves energy at the fully discrete level. The method features two key components: a deterministic and conservative particle discretization for the nonlinear Fokker-Planck operator (also known as the Lenard-Bernstein or Dougherty operator), and a second-order explicit time integrator that ensures energy conservation through an accuracy-justifiable correction. We validate the method on several plasma benchmarks, including collisional Landau damping and two-stream instability, demonstrating its effectiveness. |
| title | An Explicit Energy-Conserving Particle Method for the Vlasov-Fokker-Planck Equation |
| topic | Plasma Physics Mathematical Physics |
| url | https://arxiv.org/abs/2510.03960 |