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二维三温辐射扩散方程组两层预条件子的自适应求解
  • ISSN号：1001-246X
  • 期刊名称：计算物理
  • 时间：0
  • 页码：475-483
  • 分类：O241.6[理学—计算数学;理学—数学] TP338.6[自动化与计算机技术—计算机系统结构;自动化与计算机技术—计算机科学与技术]
  • 作者机构：[1]湘潭大学数学与计算科学学院科学工程计算与数值仿真湖南省重点实验室,湘潭市411105, [2]北京应用物理与计算数学研究所高性能计算中心计算物理重点实验室,北京100094
  • 相关基金：国家重点基础研究专项经费（2011CB309702）; 国家自然科学基金（60903006,11171281,61033009,10935003,91130002）; 湖南省科学技术厅科技计划重点项目（2011FJ2011）资助项目
  • 相关项目：面向数千个处理器的并行代数多重网格算法研究
作者： 周志阳|徐小文|舒适|冯春生|莫则尧|
关键词： 二维三温方程, 辐射扩散, 代数多重网格(AMG), 预条件子, 自适应, 2-D 3-T, radiation diffusion, algebraic muhigrid （AMG） , preconditioner, adaptive
中文摘要：

针对实际应用中若干典型三温线性系统,分析求解二维三温辐射扩散方程离散线性系统的代数两层预条件子（PCTL）的算法效率.结果表明,PCTL的算法效率与三个温度之间的耦合强度以及单温子系统对角占优性强弱程度有很大关系.为此,通过刻画三温线性系统的耦合强度和单温子系统对角占优性特征,提出一种PCTL中子系统的自适应求解算法.数值结果表明,可以显著改善PCTL的算法效率.对于实际数值模拟应用中37个典型三温线性系统,相对于经典AMG算法,算法整体加速2.5倍.数值实验表明算法具有很强的鲁棒性.

英文摘要：

Performance of physical-variable based coarsening two-level （PCTL） preconditioner is analyzed for typical linear systems discretizated from two-dimensional （2-D） radiative diffusion equations with photon, electron, ion temperatures （3-T）. It reveals that performance of PCTL strongly depends on both coupling of three temperatures and diagonally dominance of three diagonal sub-matrices of coefficient matrix. An adaptive algorithm for sub linear systems in PCTL is proposed. Numerical results show efficiency and robustness of the method. For 37 2-D 3-T linear systems in simulations, PCTL based on the algorithm speeds up 2.5 times compared with classical algebraic muhigrid （AMG） preconditioners.

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期刊信息
  • 《计算物理》
  • 中国科技核心期刊
  • 主管单位:中国科学技术协会
  • 主办单位:中国核学会
  • 主编：朱少平
  • 地址：北京海淀区丰豪东路2号北京应用物理与计算数学研究所
  • 邮编：100094
  • 邮箱：jswl@iapcm.ac.cn
  • 电话：010-59872547 59872545 59872547
  • 国际标准刊号：ISSN：1001-246X
  • 国内统一刊号：ISSN：11-2011/O4
  • 邮发代号:2-477
  • 获奖情况:
  • 1992年获“全优期刊”奖,《CAJ-CD规范》执行优秀奖
  • 国内外数据库收录:
  • 荷兰文摘与引文数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:4426