| 用代数多重网格法求解一维分裂格式的Euler方程 |
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| 引用本文： | 付汉清 常谦顺. 用代数多重网格法求解一维分裂格式的Euler方程[J]. 计算物理, 1997, 14(1): 19-25 |
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| 作者姓名： | 付汉清 常谦顺 |
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| 作者单位： | 1. 北京应用物理与计算数学研究所计算物理实验室, 100088;2. 中国科学院应用数学研究所, 北京 100080 |
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| 基金项目： | This project is supported by the National Natural Science Foundation of China and the Foundation of China Academy of Engineering Physics. |
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| 摘 要： | 提出了代数多重网格法(AMG)的一种新算法。新算法改进了插值公式和粗网格方程,并把它应用到求解一维的分裂格式Euler方程。数值结果表明,对于具有高CFL条件数的Euler方程,代数多重网格法可以求解;对于Gaus-Seidel方法求解不能收敛的代数方程组,代数多重网格法求解可以收敛。新算法改进了代数多重网格法的收敛性和扩展了它的应用范围,数值结果表明了它的有效性和强壮性。
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| 关 键 词： | 分裂格式 代数多重网格法 Euler方程 |
| 收稿时间： | 1995-05-31 |
Application of Algebraic Multigrid Method to Solve the Splitting Scheme of One-dimensional Euler Equations |
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| Fu Hanqing,Chang Qianshun. Application of Algebraic Multigrid Method to Solve the Splitting Scheme of One-dimensional Euler Equations[J]. Chinese Journal of Computational Physics, 1997, 14(1): 19-25 |
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| Authors: | Fu Hanqing Chang Qianshun |
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| Affiliation: | 1. Laboratory of Computational Physics, IAPCM, Beij ing 100088;2. Insti tute of App lied Mathemati cs, Academia S inica, Beijing 100080 |
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| Abstract: | A new algorithm of algebraic multigrid (AMG)method is proposed.As an important example, the AMG method is applied to solve the splitting scheme of the Euler equations.The equations with high CFL number can be calculated with the AMG method.This example demonstrates that the AMG method can solve the linear algebraic systems of equations unable to be solved by Gauss-Seidel iteration method.This is a new result and extends the range of application of the AMG method. |
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| Keywords: | splitting scheme algebraic multigrid method Euler equations |
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