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适用于混合网格的并行GMRES+LU-SGS方法

康忠良 阎超

空气动力学学报2013,Vol.31Issue(2):225-230,6.
空气动力学学报2013,Vol.31Issue(2):225-230,6.

适用于混合网格的并行GMRES+LU-SGS方法

Parallel GMRES+LU-SGS method for mixed grids

康忠良 1阎超1

作者信息

  • 折叠

摘要

Abstract

A parallel matrix-free GMRES+LU-SGS implicit scheme is presented based on mixed grids. LU-SGS method is employed at the beginning process to obtain a better initial solution,and then switched to GMRES method with LU-SGS as preconditioner. To improve convergence efficiency, the CFL number is increased cor-respondingly to the reduction of the residual. A matrix-free approach is applied to reduce computational and memory cost. OpenMP method based on shared-memory system is used to achieve paralleliza-tion, and a special grids grouping method is applied to avoid memory contention. The numerical results demonstrated that the present methods can improve convergence efficiency greatly, produce exactly the same result as single proces-sor case and show good agreement with experiments.

关键词

混合网格/并行计算/GMRES/隐式格式/()penMP

Key words

mixed grids/ parallelization/ GMRES/ implicit scheme/ OpenMP

分类

航空航天

引用本文复制引用

康忠良,阎超..适用于混合网格的并行GMRES+LU-SGS方法[J].空气动力学学报,2013,31(2):225-230,6.

基金项目

国家重点基础研究发展计划资助项目(2009CB724104) (2009CB724104)

空气动力学学报

OA北大核心CSCDCSTPCD

0258-1825

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