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求解可压Navier-Stokes方程的对称超紧致差分格式及其并行算法
引用本文:郭晓虎,张林波.求解可压Navier-Stokes方程的对称超紧致差分格式及其并行算法[J].计算物理,2006,23(3):281-289.
作者姓名:郭晓虎  张林波
作者单位:1. 科学与工程计算国家重点实验室, 中国科学院计算数学与科学工程计算研究所, 北京 100080;2. 北京大学数学科学学院, LMAM, 北京 100871
摘    要:考查了超紧致差分方法,并将其精度同传统差分格式和紧致差分格式做了比较,结果显示超紧致方法具有良好求解效率.用分块流水线方法设计了超紧致差分格式的并行算法,进行数值实验及并行性能分析.

关 键 词:可压缩  多尺度  超紧致差分格式  并行算法  分块流水线算法  
文章编号:1001-246X(2006)03-0281-09
收稿时间:2004-12-27
修稿时间:2005-08-29

Symmetric Super Compact Difference Scheme of the Navier-Stokes Equation and Its Parallel Algorithm
GUO Xiao-hu,ZHANG Lin-bo.Symmetric Super Compact Difference Scheme of the Navier-Stokes Equation and Its Parallel Algorithm[J].Chinese Journal of Computational Physics,2006,23(3):281-289.
Authors:GUO Xiao-hu  ZHANG Lin-bo
Institution:1. Institute of Computational Mathematics and Scientific/Engineering Computing, Beijing 100080, China;2. LMAM, Mathematic Sience, Peking University, Beijing 100871, China
Abstract:We examine the super compact symmetric finite difference scheme(SCSFD) and compare it with traditional difference methods and compact difference methods.The result shows high efficiency of SCSFD.According to the characteristics of the algorithm,a parallel algorithm named block pipelined method for three-dimensional compressible Navier-Stokes equations using SCSFD is designed and its parallel performance is analysed.Numerical experiments are carried out.
Keywords:compressible  multi-scales  super compact symmetric finite difference scheme  parallel algorithm  block pipelined method
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