| 基于EBE的Bi-CG迭代法求解Navier-Stokes方程的并行计算 |
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| 引用本文： | 杨忠超.基于EBE的Bi-CG迭代法求解Navier-Stokes方程的并行计算[J].西南交通大学学报,2002,37(2):142-145. |
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| 作者姓名： | 杨忠超 |
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| 作者单位： | 西南交通大学机械工程学院,四川,成都,610031 |
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| 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。
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| 关 键 词： | 有限元法 单元接单元技术 并行计算 双向轭梯度法 Bi－CG迭代法 Navier－Stokes方程 不可压缩粘性流场 |
| 文章编号： | 0258-2724(2002)02-0142-04 |
The Parallel Computation of Steady Navier-Stokes Equations with Bi-CG Iterative Method Based on EBE Technique |
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| YANG Zhong,chao.The Parallel Computation of Steady Navier-Stokes Equations with Bi-CG Iterative Method Based on EBE Technique[J].Journal of Southwest Jiaotong University,2002,37(2):142-145. |
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| Authors: | YANG Zhong chao |
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| 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. |
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| Keywords: | finite element methods flow field EBE technique parallel computation Bi CG |
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