| 二维三温能量方程组的预条件迭代软件包研制 ——离散所得稀疏线性方程组的求解 |
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| 引用本文： | 吴建平,王正华,李晓梅.二维三温能量方程组的预条件迭代软件包研制 ——离散所得稀疏线性方程组的求解[J].计算机工程与应用,2007,43(33):6-8. |
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| 作者姓名： | 吴建平 王正华 李晓梅 |
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| 作者单位： | 1.国防科技大学 计算机学院,长沙 410073 2.装备指挥技术学院,北京 101416 |
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| 基金项目： | 国家重点实验室基金
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并行与分布处理实验室基金 |
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| 摘 要： | 首先针对二维三温能量方程组,系统分析了求解所得到的稀疏线性方程组时,采用多种传统预条件技术时将遇到的问题,并提出了相应的适应性改进。其次,在集成这些预条件,以及新提出的MRILUT预条件的基础上,基于Fortran语言研制了一个性能高、可读性强、可扩展性好的预条件Krylov子空间迭代法软件包PreIT2D3T。最后,对2个实际惯性约束聚变问题的全程数值模拟进行了实验,实验结果表明MRILUT优于ILUT,同时PreIT2D3T的性能也优于SPARSKIT软件包。
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| 关 键 词： | 二维三温能量方程组 惯性约束聚变 预条件 ILUT Krylov子空间迭代 |
| 文章编号： | 1002-8331(2007)33-0006-03 |
| 修稿时间： | 2007年8月1日 |
Package for solving linear system from two-dimension three-temperatures energy equations with preconditioned Krylov subspace methods |
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| WU Jian-ping,WANG Zheng-hua,LI Xiao-mei.Package for solving linear system from two-dimension three-temperatures energy equations with preconditioned Krylov subspace methods[J].Computer Engineering and Applications,2007,43(33):6-8. |
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| Authors: | WU Jian-ping WANG Zheng-hua LI Xiao-mei |
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| Affiliation: | 1.School of Computer,National University of Defense Technology,Changsha 410073,China 2.Institute of Command and Technology of Equipment,Beijing 101416,China |
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| Abstract: | In this paper,the authors first analyze some possible problems with various traditional preconditioning techniques to solve the sparse linear systems derived from two-dimension three-temperatures energy equations.Consequently,several modifications are provided to accommodate these well-known techniques to the problem here.Second,by incorporating these preconditioners and the newly provided MRILUT preconditioner into the Krylov subspace methods,the authors develop a software package PreIT2D3T.It is a high-performance,well-readable,and well-scalable package.Finally,two experiments to the whole simulation of actual inertial confinement fusion problems show that MRILUT is better than ILUT,and the current package has higher performance over the SPARSKIT package. |
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| Keywords: | two-dimension three-temperatures energy equations inertial confinement fusion preconditioning ILUT Krylov subspace method |
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