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。
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.
出处
《水科学进展》
EI
CAS
CSCD
北大核心
2004年第5期593-597,共5页
Advances in Water Science
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
finite element method
shallow water equations
sparse matrix
conjugate gradient method
operation efficiency
flow calculation
