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二维有自由面渗流分析的有限元并行计算
引用本文:杜晔华,胡云进,姚懿伦,董金祥.二维有自由面渗流分析的有限元并行计算[J].水力发电学报,2006,25(3):116-120.
作者姓名:杜晔华  胡云进  姚懿伦  董金祥
作者单位:1. 浙江大学,计算机学院,杭州,310027
2. 浙江大学,水利与海洋工程学系,杭州,310027
摘    要:建立了一个基于MPI消息传递的微机机群系统,进行了有自由面渗流的有限元并行分析。通过预处理共轭梯度法和逐个单元法技术的结合来求解方程组,采用前后处理的并行、负载均衡等技术,改善了程序性能。通过对土坝渗流进行并行数值模拟验证了模型的正确性和有效性。加速比、计算效率和可扩放性的测定表明,该模型对大型问题能够减少存储空间,提高运算速度,具有良好的可扩放性,有能力对大型工程,特别是土坝的渗流问题进行快速精确的模拟。

关 键 词:水力学  并行计算  有限元  虚节点法  渗流
收稿时间:2005-01-04
修稿时间:2005年1月4日

Parallel finite element method for 2D free surface seepage
DU Yehua,HU Yunjin,YAO Yilun,DONG Jinxiang.Parallel finite element method for 2D free surface seepage[J].Journal of Hydroelectric Engineering,2006,25(3):116-120.
Authors:DU Yehua  HU Yunjin  YAO Yilun  DONG Jinxiang
Affiliation:1. Dept of Computer Science and Engineering, Zhejiang University, Hangzhou 310027 ; 2. Dept of Hydraulic and Ocean Engineering, Zhejiang University, Hangzhou 310027
Abstract:Parallel 2D finite element method for computations of free surface seepage flows is presented in this paper.Computations are carried out by using a cluster of PCs under control of Linux operating system and an MPI library.Preconditioned conjugate gradient method combined with element-by-element strategy is used for solving algebraic equations to reduce storage space and execution time.In order to improve the performance of the cluster,several techniques such as pre-processing & post-processing parallelism and load balance are used.The performance of simulating the free surface seepage flow through a earth dam is analyzed.The experimental results show that the model presented herein not only is reasonable and feasible,but also has expandability and scalability when the large-scale free surface seepage flow through projects is simulated.
Keywords:hydraulics  parallel calculation  finite element method  virtual node method  seepage flow
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