| Vlasov-Poisson方程半拉格朗日守恒算法 |
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| 引用本文： | 刘全,倪国喜,牛霄,胡军.Vlasov-Poisson方程半拉格朗日守恒算法[J].计算物理,2020,37(1):19-25. |
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| 作者姓名： | 刘全 倪国喜 牛霄 胡军 |
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| 作者单位： | 1. 北京应用物理与计算数学研究所, 北京 100088;2. 中国工程物理研究院研究生院, 北京 100088 |
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| 摘 要： | 利用三阶迎风插值多项式结合限制子方法，构造Vlasov-Poisson方程的半拉格朗日守恒型格式，可保持Vlasov-Poisson方程解的正性.计算朗道阻尼，双束不稳定性等典型问题，并与样条插值方法、UGKS方法进行比较，模拟结果表明半拉格朗日守恒性格式在Vlasov-Poisson方程求解中具有较高分辨率.
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| 关 键 词： | Vlasov-Poisson方程 半拉格朗日 插值方法 守恒型格式 |
| 收稿时间： | 2018-08-17 |
| 修稿时间： | 2018-10-27 |
A Semi-Lagrangian Conservative Scheme for Vlasov Equation |
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| LIU Quan,NI Guoxi,NIU Xiao,HU Jun.A Semi-Lagrangian Conservative Scheme for Vlasov Equation[J].Chinese Journal of Computational Physics,2020,37(1):19-25. |
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| Authors: | LIU Quan NI Guoxi NIU Xiao HU Jun |
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| Institution: | 1. Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;2. The Graduate School of China Academy of Engineering Physics, Beijing 100088, China |
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| Abstract: | We give a semi-Lagrangian scheme for Vlasov-Poisson equation using third order upwind interpolation polynomial with limiter. The scheme is conservative and keeps solution positive. We use the scheme to compute typical examples that include Landau damping, two stream instability and symmetric two stream instability. These simulations are compared with other numerical results. In conclusion, the conservative scheme works well in solving Vlasov-Poisson equation. |
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| Keywords: | Vlasov-Poisson equation semi-Lagrangian interpolation conservative scheme |
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