计算物理 ›› 2010, Vol. 27 ›› Issue (4): 475-491.

• 综述 •    下一篇

扩散方程的守恒型并行计算格式

袁光伟, 杭旭登   

  1. 北京应用物理与计算数学研究所, 北京 100088
  • 收稿日期:2009-08-17 修回日期:2010-01-28 出版日期:2010-07-25 发布日期:2010-07-25
  • 作者简介:袁光伟(1963-),男,湖南,研究员,博士,从事偏微分方程数值解研究.
  • 基金资助:
    国家重点基础研究发展计划项目(2005CB321703);计算物理实验室基金;国家自然科学基金(60533020)资助项目

Conservative Parallel Schemes for Diffusion Equations

YUAN Guangwei, HANG Xudeng   

  1. Institute of Applied Physics and Computational Physics, Beijing 100088, China
  • Received:2009-08-17 Revised:2010-01-28 Online:2010-07-25 Published:2010-07-25

摘要: 辐射流体力学实际问题计算中扩散方程的计算量极大,必须采用并行计算.研究易于在并行机上实施的高效的并行计算方法,通过采用预估修正等多种方式,构造和发展既保持隐式格式的守恒性、同时能保持所需精度与无条件稳定性的并行计算格式,以满足大规模数值求解辐射流体力学问题的需求.

关键词: 扩散方程, 守恒格式, 并行格式

Abstract: In numerical simulation of radiation hydrodynamics problems,diffusion computation costs most part of simulation time.It is urgent to construct parallel schemes which are conservative,of high precision and unconditionally stable.The aim of the paper is to devise conservative parallel schemes based on methods of "prediction and/or correction" for nonlinear diffusion equations.Numerical results are presented to examine performance of conservative parallel schemes,such as accuracy,stability and parallel speedup.

Key words: parallel schemes, conservative schemes, diffusion equations

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