球坐标动量空间下相对论Vlasov方程的数值算法
发布时间：2018-09-09 12:47
【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.
[Abstract]:The relativistic Vlasov equation is solved numerically in the spherical coordinate momentum space because it is difficult to calculate because the momentum interval of the relativistic Vlasov equation is large. The fourth order non-splitting conservation type numerical scheme is constructed for the spherical coordinate momentum space of relativistic Vlasov equation. The numerical simulation of relativistic Landau damping problem is compared with analytical theory to verify the validity of the numerical model and the algorithm. The preliminary simulation analysis of laser plasma interaction shows that by using momentum space in spherical coordinates, the results of mutual verification with particle simulation can be obtained in the case of relatively small momentum grids.
【作者单位】： 北京应用物理与计算数学研究所;北京大学应用物理与技术中心;
【基金】：大科学装置国家重点研发计划(2016YFA0401100) 国家自然科学基金(91230205,11575031)资助项目
【分类号】：O53
，
本文编号：2232411
[Abstract]:The relativistic Vlasov equation is solved numerically in the spherical coordinate momentum space because it is difficult to calculate because the momentum interval of the relativistic Vlasov equation is large. The fourth order non-splitting conservation type numerical scheme is constructed for the spherical coordinate momentum space of relativistic Vlasov equation. The numerical simulation of relativistic Landau damping problem is compared with analytical theory to verify the validity of the numerical model and the algorithm. The preliminary simulation analysis of laser plasma interaction shows that by using momentum space in spherical coordinates, the results of mutual verification with particle simulation can be obtained in the case of relatively small momentum grids.
【作者单位】： 北京应用物理与计算数学研究所;北京大学应用物理与技术中心;
【基金】：大科学装置国家重点研发计划(2016YFA0401100) 国家自然科学基金(91230205,11575031)资助项目
【分类号】：O53
，
本文编号：2232411
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