热传导方程三层并行差分格式初始条件的计算

计算物理 ›› 2011, Vol. 28 ›› Issue (4): 488-492.

热传导方程三层并行差分格式初始条件的计算

左风丽¹, 崔霞², 袁光伟²

1. 北京应用物理与计算数学研究所高性能计算中心, 北京 100088;
2. 北京应用物理与计算数学研究所计算物理重点实验室, 北京 100088

收稿日期:2010-08-12 修回日期:2011-02-18 出版日期:2011-07-25 发布日期:2011-07-25
通讯作者: 崔霞,E-mail:cuixia09@gmail.com
作者简介:左风丽(197l-),女,河南,副研究员,硕士,主要从事大规模科学与工程并行计算研究
基金资助:
国防基础科研项目(B1520110011);中国工程物理研究院科学技术基金(2010A0202010);计算物理实验室基金;国家自然科学基金(60973151,61033009);863课题(2009AA01A134,2010AA012303);973课题(2011CB309702)资助项目

Initialization Method in Three-layer Parallel Difference Scheme for Heat Equation

ZUO Fengli¹, CUI Xia², YUAN Guangwei²

1. High Performance Computing Center, Institute of Applied Physics and Computational Mathematics, Beijing 100094;
2. Science and Technology Computation Physics Laboratory, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China

Received:2010-08-12 Revised:2011-02-18 Online:2011-07-25 Published:2011-07-25

摘要/Abstract

摘要： 给出二维热传导问题的三层差分格式初始条件的一种显式计算方法,对于由此形成的内边界预估校正三层并行差分算法,证明稳定性和收敛性定理.并行数值试验表明,方法稳定,且与通常采用隐式格式计算初始条件的方法相比,易于程序实现;与已有的扰动算法相比,能大幅度减小误差.

关键词: 三层差分格式, 初始条件, 稳定显式计算方法

Abstract: An explicit method is proposed to initiate three-layer difference scheme for two-dimensional heat problems.Stability and convergence theorem is shown with a three-layer domain decomposition parallel difference algorithm with inner boundary prediction-correction and explicit initialization.Parallel numerical experiments show that the method is numerical stable,and is more convenient in program realization compared with usual implicit initialization method.It reduces numerical errors greatly compared with existing perturbation methods.

Key words: three-layer difference scheme, initial conditions, stable explicit computing method

中图分类号:

O241.82
O246

左风丽, 崔霞, 袁光伟. 热传导方程三层并行差分格式初始条件的计算[J]. 计算物理, 2011, 28(4): 488-492.

ZUO Fengli, CUI Xia, YUAN Guangwei. Initialization Method in Three-layer Parallel Difference Scheme for Heat Equation[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2011, 28(4): 488-492.