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高阶间断有限元法的并行计算研究

夏轶栋 伍贻兆 吕宏强 宋江勇

空气动力学学报2011,Vol.29Issue(5):537-541,5.
空气动力学学报2011,Vol.29Issue(5):537-541,5.

高阶间断有限元法的并行计算研究

Parallel computation of a high-order discontinuous Galerkin method on unstructured grids

夏轶栋 1伍贻兆 1吕宏强 1宋江勇2

作者信息

  • 1. 南京航空航天大学航空宇航学院,江苏南京210016
  • 2. 中国飞行试验研究院,陕西西安710089
  • 折叠

摘要

Abstract

Based on the METIS mesh partition technique, a parallel high-order Discontinuous Galerkin ( DG) method is developed for the solution of the 2D Euler equations on unstructured grids. The developed parallel method is used to compute the compressible flows for test problems of different scales. The numerical flux of Euler equations is calculated by using Local Lax-Friedrichs (LLF) scheme; and a parallel Newton-Block GS method is devised to accelerate convergence. The numerical results obtained show that it has rapid convergence rate and solution of high accuracy. The performance analysis indicates that it has satisfying speedup and parallel efficiency. Overall, the parallel high-order DG method is proved to reduce computational time dramatically and allocate memory reasonably, which makes it promising to compute more complex problems.

关键词

并行计算/METIS/高阶间断有限元/Euler方程/Newton-Block GS

Key words

parallel computation/METIS/high-order discontinuous Galerkin/Euler equations/Newton-Block GS

分类

航空航天

引用本文复制引用

夏轶栋,伍贻兆,吕宏强,宋江勇..高阶间断有限元法的并行计算研究[J].空气动力学学报,2011,29(5):537-541,5.

基金项目

教育部博士点青年基金(20070287024) (20070287024)

空气动力学学报

OA北大核心CSCDCSTPCD

0258-1825

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