二维非定常4-Laplacian问题的多重网格规约时间并行解法器

论文摘要

未来计算性能的提升依赖的是更高的并发度,而不再是更快的时钟频率,这将致使传统的时间步进算法成为数值模拟非定常问题的一个瓶颈.该文实验性地探究求解二维非定常4-Laplacian问题的具有高并发度的并行解法器,其中全离散格式为向后Euler格式和双线性矩形元,时间并行策略为通信器和进程分组下基于完全近似格式的多重网格规约时间算法.数值对比实验表明:基于F-FCF松弛、细/粗时间网格层的粗化因子为16/4的MGRIT算法具有更高的并发度,相对文献[Falgout,et al.SIAM J Sci Comput,2017,39:S298-S322]中的最优MGRIT解法器,它可提速2.4倍.

论文目录

文章来源

类型: 期刊论文

作者: 岳孝强,刘一寅,瞿创成

关键词: 非定常问题,非线性,多重网格规约,时间并行度

来源: 湘潭大学学报(自然科学版) 2019年01期

年度: 2019

分类: 基础科学

专业: 数学

单位: 湘潭大学数学与计算科学学院

基金: 国家自然科学基金项目(11601462),湖南省军民融合产业发展专项资金“自适应多水平解法器及其在ICF数值模拟中的应用”,湖南省自然科学基金项目(2018JJ3494)

分类号: O241.8

DOI: 10.13715/j.cnki.nsjxu.2019.01.004

页码: 49-54

总页数: 6

文件大小: 421K

下载量: 20

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标签：非定常问题论文;  非线性论文;  多重网格规约论文;  时间并行度论文;