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基于压缩存储技术求解压力Poisson方程的BiCGSTAB算法

桂洲 王企鲲

计算机应用研究2018,Vol.35Issue(1):113-115,3.
计算机应用研究2018,Vol.35Issue(1):113-115,3.DOI:10.3969/j.issn.1001-3695.2018.01.023

基于压缩存储技术求解压力Poisson方程的BiCGSTAB算法

BiCGSTAB algorithm based on compressed storage technique to solve pressure Poisson equation

桂洲 1王企鲲1

作者信息

  • 1. 上海理工大学能源与动力工程学院,上海200093
  • 折叠

摘要

Abstract

This paper presented a numerical analysis method for one-dimensional sparse storage structures to compress the large sparse matrix formed by the numerical discrete of the pressure Poisson equation with the numerical discrete projection algorithm,and only stored the non-zero elements.At the same time,it used the BiCGSTAB algorithm with optimized properties to solve the pressure Poisson equation to significantly improve the computational efficiency.Under the same initial conditions,it used the SOR(successive over relaxation) iteration method by Fortran90 to solve the linear equations obtained by numerical discretization of the pressure Poisson equation.The result shows that the BiCGSTAB algorithm based on compressed storage has obvious advantages in solving sparse linear equations.The algorithm is fast,efficient and reliable.

关键词

泊松方程/压缩存储/BiCGSTAB算法/超松弛迭代法/线性方程组

Key words

Poisson equation/compressed storage/BiCGSTAB algorithm/SOR iteration/linear equations

分类

信息技术与安全科学

引用本文复制引用

桂洲,王企鲲..基于压缩存储技术求解压力Poisson方程的BiCGSTAB算法[J].计算机应用研究,2018,35(1):113-115,3.

计算机应用研究

OA北大核心CSCDCSTPCD

1001-3695

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