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
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 GSKey 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)