| 球坐标动量空间下相对论Vlasov方程的数值算法 |
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| 引用本文： | 张华,吴思忠,周沧涛,何民卿,蔡洪波,曹莉华,朱少平,贺贤土.球坐标动量空间下相对论Vlasov方程的数值算法[J].计算物理,2017,34(5):543-554. |
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| 作者姓名： | 张华 吴思忠 周沧涛 何民卿 蔡洪波 曹莉华 朱少平 贺贤土 |
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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 100094;2. 北京大学应用物理与技术中心, 北京 100871 |
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| 基金项目： | 大科学装置国家重点研发计划（2016YFA0401100）及国家自然科学基金（91230205，11575031）资助项目 |
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| 摘 要： | 针对相对论Vlasov方程动量区间跨度大、难以计算的困难，将相对论Vlasov方程在球坐标动量空间中进行数值求解.对相对论Vlasov方程球坐标动量空间构造4阶非分裂守恒型数值格式.数值模拟相对论Landau阻尼问题并与解析理论进行比较，验证数值模型和算法的有效性.对激光等离子体相互作用进行初步模拟分析，表明通过采用球坐标下的动量空间，可在相对较少动量网格情形下，获得与粒子模拟可相互验证的结果.
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| 关 键 词： | 相对论Vlasov方程 相对论Landau阻尼 等离子体 |
| 收稿时间： | 2017-03-30 |
Numerical Method for Relativistic Vlasov Equation in Cartesian-Spherical Coordinate System |
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| ZHANG Hua,WU Sizhong,ZHOU Cangtao,HE Minqing,CAI Hongbo,CAO Lihua,ZHU Shaoping,HE Xiantu.Numerical Method for Relativistic Vlasov Equation in Cartesian-Spherical Coordinate System[J].Chinese Journal of Computational Physics,2017,34(5):543-554. |
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| Authors: | ZHANG Hua WU Sizhong ZHOU Cangtao HE Minqing CAI Hongbo CAO Lihua ZHU Shaoping HE Xiantu |
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| Institution: | 1. Institute of Applied Physics and Computational Mathematics, Beijing, 100094, China;2. Center of Applied Physical Technology, Peking University, Beijing 100871, China |
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| Abstract: | We study numerical method for relativistic Vlasov equation and present a scheme for computing Vlasov equation based on Cartesian-spherical coordinate system, which can be used to reduce number of numerical grid for momentum space. Furthermore, a 4th order non-splitting finite volume scheme is proposed in order to solve momentum parts of relativistic Vlasov equation. In test problems, especially relativistic Landau problem, laser-plasma interaction are solved by using the scheme. We confirm the scheme with theoretically analysis as well as numerical comparison with results of PIC method. |
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| Keywords: | relativistic Vlasov equation relativistic Landau damping plasma |
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