| 有限元水流计算中内存和运行效率初探 |
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| 引用本文： | 周杰,汪德爟.有限元水流计算中内存和运行效率初探[J].水科学进展,2004,15(5):593-597. |
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| 作者姓名： | 周杰 汪德爟 |
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| 作者单位： | 河海大学环境科学与工程学院, 江苏, 南京, 210098 |
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| 摘 要： | 有限元在非恒定流计算中耗内存大、耗机时多的问题一直困扰着工程师,限制了有限元的应用.采用分步有限元方法离散二维浅水方程,并初步探索了行指标矩阵压缩存储稀疏矩阵的方法和效率以及预条件双共扼梯度法在求解有限元方法中形成的大型线性方程组中的效率,取得了满意的结果.在一定程度上缓解了有限元在非恒定流计算中存在的耗内存大、耗时多的问题.
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| 关 键 词： | 有限元 浅水方程 稀疏矩阵 共扼梯度法 运行效率 水流计算 |
| 文章编号： | 1001-6791(2004)05-0593-05 |
| 收稿时间： | 2003-07-03 |
| 修稿时间： | 2003年7月3日 |
Exploration on memory requirement and operation efficiency of finite element method in flow calculation |
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| ZHOU Jie,WANG De-guan.Exploration on memory requirement and operation efficiency of finite element method in flow calculation[J].Advances in Water Science,2004,15(5):593-597. |
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| Authors: | ZHOU Jie WANG De-guan |
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| Affiliation: | College of Environment Science and Engineering, Hohai University, Nanjing 210098, China |
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| Abstract: | The problem of bulky memory requirement and low efficiency in calculation of unsteady flow with finite element method (FEM) has troubled the engineers for long time. It also restricts the applications of FEM to fluid dynamics. The method of time-splitting and FEM were combined to solve the 2-D shallow water equations. The row-indexed sparse storage mode was used to store the sparse coefficient matrix, and the preconditioned bi-conjugate gradient method was used to solve the huge linear system. The results are satisfactory both in memory and efficiency. The problem has been solved to a certain extent. |
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| Keywords: | finite element method shallow water equations sparse matrix conjugate gradient method operation efficiency flow calculation |
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