Discretization form of the continuity condition at the polar axis, with application to the gyrokinetic simulation in a magnetic fusion torus
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866908562255511552 |
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| author | Wu, Tiannan Wang, Zihao Wang, Shaojie |
| author_facet | Wu, Tiannan Wang, Zihao Wang, Shaojie |
| contents | A new computational method to solve the hyperbolic (Vlasov) equation and the elliptic (Poisson-like) equation at the polar axis is proposed. It is shown that the value of a scalar function at the polar axis can be predicted by its neighbouring values based on the continuity condition. This continuity condition systematically solves the pole problems including the singular factor 1/r in the hyperbolic equation and the inner boundary in the elliptic equation. The proposed method is applied to the global gyrokinetic simulation of the tokamak plasma with the magnetic axis included. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03657 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Discretization form of the continuity condition at the polar axis, with application to the gyrokinetic simulation in a magnetic fusion torus Wu, Tiannan Wang, Zihao Wang, Shaojie Computational Physics Plasma Physics A new computational method to solve the hyperbolic (Vlasov) equation and the elliptic (Poisson-like) equation at the polar axis is proposed. It is shown that the value of a scalar function at the polar axis can be predicted by its neighbouring values based on the continuity condition. This continuity condition systematically solves the pole problems including the singular factor 1/r in the hyperbolic equation and the inner boundary in the elliptic equation. The proposed method is applied to the global gyrokinetic simulation of the tokamak plasma with the magnetic axis included. |
| title | Discretization form of the continuity condition at the polar axis, with application to the gyrokinetic simulation in a magnetic fusion torus |
| topic | Computational Physics Plasma Physics |
| url | https://arxiv.org/abs/2402.03657 |