摘要
本文为结构化自适应网格加密(SAMR)网格下二维三温辐射扩散问题的混合保对称有限体元格式设计了一种新的自适应PCTL预条件子,采用新的两层网格法求解子系统.与基于Ruge-Stüben型代数多重网格法的PGMRES法相比,基于新预条件子的PGMRES法更易于在JASMIN并行框架中实现,且对耦合关系强的情形,其稳健性更好且计算效率更高.
The paper focuses on developing a new adaptive PCTL preconditioner for two-dimensional three-temperature radiation diffusion equations on structured adaptive mesh refinement(SAMR)meshes.The mixed symmetry-preserving finite volume element scheme is used for the spatial discretization.The involved sub-systems are addressed by a new two-level algorithm.Compared with the Ruge-Süben-type algebraic multigrid preconditioned GMRES solver,the GMRES solver preconditioned by the new preconditioner is easier to be implemented in the JASMIN parallel framework,and it is more robust and more efficient for the strong-coupling problems.
作者
岳孝强
李敏
周志阳
舒适
YUE Xiao-qiang;LI Min;ZHOU Zhi-yang;SHU Shi(School of Mathematics and Computational Science,Xiangtan University,Xiangtan 411105 China)
出处
《湘潭大学学报（自然科学版）》
CAS
2020年第6期1-7,共7页
Journal of Xiangtan University(Natural Science Edition)
基金
国防基础科研核科学挑战专题项目(TZZT2016002)
国家自然科学基金项目(11971414)。
关键词
二维三温辐射扩散问题
保对称有限体元
SAMR网格
代数多重网格
自适应PCTL
two-dimensional three-temperature radiation diffusion equations
symmetry-preserving finite volume element
SAMR meshes
algebraic multigrid
adaptive PCTL
