基于EBE-PCG方法的非线性有限元并行算法

doi:10.16232/j.cnki.1001-4179.2018.17.013

摘要/Abstract

摘要： 随着水利工程建设的发展，对水工结构动力安全分析的要求越来越高，数值分析规模越来越大，对水工结构非线性分析的求解效率的要求越来越高，并行算法是提高求解效率的一种有效手段。提出了结构矩阵的EBE-PCG的并行迭代求解算法，该方法采用总刚的对角元矩阵形成预处理矩阵，应力更新时的本构积分可直接在单元级别上分组进行。在MPI并行编程环境中，在单机上以多进程模式实现了结构弹塑性问题的并行求解，可以极大提高非线性问题的求解效率。

关键词: EBE-PCG, 并行算法, 非线性有限元, MPI

Abstract: With the development of hydraulic engineering construction, the requirements for dynamic safety analysis of hydraulic structures are increasing. The scale of numerical analysis is getting larger and larger, thus the requirements for the efficiency of nonlinear analysis become higher. The parallel algorithm is an effective way to improve the solution efficiency. In this paper, a parallel iterative algorithm for large-scale matrix solution based on element-by-element (EBE) and preconditioned conjugate gradients (PCG) is proposed. This method uses a diagonal matrix of the total stiffness to form a preprocessing matrix, and the constitutive integration during stress update can be performed directly at element level and can be parallel implemented by dividing elements into groups according to arbitrary rules. In the MPI parallel programming environment, structural elasto-plastic numerical analysis is implemented by multi-process model on a single computer, which can greatly improve the solution efficiency of nonlinear issues.

Key words: EBE-PCG, parallel method, nonlinear FEM analysis, MPI

陈健云. 基于EBE-PCG方法的非线性有限元并行算法[J]. 人民长江, doi: 10.16232/j.cnki.1001-4179.2018.17.013.

CHEN Jianyun. Parallel nonlinear FEM algorithm based on element by element strategy and PCG algorithm[J]. , doi: 10.16232/j.cnki.1001-4179.2018.17.013.

[1]	高晓峰,伍鹤皋,石长征,邱炳坤. 灯泡贯流式机组混凝土管型座受力特性研究[J]. 人民长江, 2020, 51(8): 191-196.
[2]	李方平. 特高拱坝坝面钢筋抗震效果分析[J]. 人民长江, 2020, 51(6): 142-147.
[3]	肖伟，熊堃，李锐. 某高拱坝结构破坏模式与破坏机理分析[J]. 人民长江, 2017, 48(s1): 224-228.
[4]	徐文丞王震 宁庆臣. 人字闸门推力对闸首结构内力计算的影响研究[J]. 人民长江, 2016, 47(5): 53-57.
[5]	黎满林宋玲丽刘翔. 大岗山拱坝整体稳定性数值分析[J]. J4, 2014, 45(22): 54-57.
[6]	李静 陈健云 徐强王舒. 基于模拟退火的重力坝最危险滑动面全局搜索[J]. J4, 2014, 45(19): 60-62.
[7]	杨琼彭薇薇佘鸿翔 张建海. 某水电站地下厂房施工期开挖监测反馈分析[J]. J4, 2014, 45(17): 94-98.
[8]	李〓曾凡棠 关洪林 王艳. 水闸联合调度下河网水动力过程数值模拟研究[J]. J4, 2013, 44(23): 35-37.
[9]	程文龙史英标吴修广. 河口水沙数学模型的并行化研究[J]. J4, 2013, 44(15): 54-57.
[10]	马文亮李晓芬陈卫星. 龙开口电站钢衬钢筋混凝土坝后背管非线性分析[J]. J4, 2012, 43(15): 7-10.
[11]	宋冬仿林皓羽苏涛陈海龙张建海. 有限元超载法在坝基抗滑稳定分析中的应用[J]. J4, 2012, 43(1): 9-11.
[12]	谢小玲苏海东. 穿黄隧洞衬砌无垫层段1∶1仿真模型试验及分析[J]. J4, 2011, 42(8): 92-95.
[13]	曹艳辉兰荣蓉. 面板设置永久水平缝对其应力变形的影响分析[J]. J4, 2010, 41(增刊): 10-12.
[14]	何力宋志忠彭刚王晓亮. 坝体材料非线性对坝基深层抗滑稳定影响分析[J]. J4, 2010, 41(9): 82-85.
[15]	袁志刚马连军种秀灵. 混凝土拱坝坝肩抗滑稳定三维非线性有限元分析[J]. J4, 2010, 41(2): 9-12.

基于EBE-PCG方法的非线性有限元并行算法

Parallel nonlinear FEM algorithm based on element by element strategy and PCG algorithm

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价