摘要
为了改造粒子输运方程求解的隐式格式,研究设计适应大型并行计算机的并行计算方法,介绍一类求解粒子输运方程离散纵标方程组的基于界面修正的源迭代并行计算方法.应用空间区域分解,在子区域内界面处首先采用迎风显式差分格式进行预估,构造子区域的入射边界条件,然后,在各个子区域内部进行源迭代求解隐式离散纵标方程组.在源迭代过程中,在内界面入射边界处采用隐式格式进行界面修正.数值算例表明该并行计算方法在精度、并行度、简单性诸方面均具有良好的性质.
In order to make conventional implicit algorithm to be applicable in large scale parallel computers, an interface correction method is introduced to solve the particle transport SN equations. Domain decomposition is adopted in the computational domain. On the interface, an upwind explicit scheme is applied to give an incident boundary condition,which enables the subdomain problem iterated independently. The interface values are updated by an implicit scheme concurrently in iteration. The scheme shows good precision, parallelism and simplicity in numerical experiments.
出处
《计算物理》
CSCD
北大核心
2006年第6期637-641,共5页
Chinese Journal of Computational Physics
基金
国家重点基础研究发展计划(973计划)(2005CB321703)
国家自然科学基金(10476002
60533020)资助项目
关键词
粒子输运方程
并行差分方法
迭代法
界面修正
particle transport equation
parallel difference scheme
iteration method
interface correction
