基于EBE的Bi-CG迭代法
求解Navier-Stokes方程的并行计算

基于EBE的Bi-CG迭代法求解Navier-Stokes方程的并行计算

摘要: 阐述了用有限元求解流场不可压Navier-Stokes方程时,基于单元接单元(Element-By-Element,EBE)技术的并行双共轭梯度法(Bi-CG)。在国家高性能计算中心(成都)的曙光2000并行系统上,采用MPI消息传递实现了此种算法,计算定常三维空穴水域流场,取了较好的加速比。由于不需存储系数矩阵,在很大程度上节省了内存,大大提高了求解流场问题的规模。
- 有限元法 /
- 流场 /
- 单元接单元技术 /
- 并行计算 /
- 双共轭梯度法
Abstract: The parallel Bi-CG iterative method based on the element-by-element (EBE) technique is described, which is used in the solution of Navier-Stokes equation using finite element method. This algorithm is implemented with MPI on the Shuguang 2000 parallel system in the National High Capable Computation Center, Chengdu. The three-dimension cavity steady flow field is simulated, and a high speedup ratio is achieved. Because this method need not store the global matrix and save a lot of memory, the scale of flow field problems that can be solved with FEM is increased greatly.
- finite element methods /
- flow field /
- EBE technique /
- parallel computation /
- Bi-CG

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