Two Physics-Based Schwarz Preconditioners for Three-Temperature Radiation Diffusion Equations in High Dimensions  

作　　者：Xiaoqiang Yue Jianmeng He Xiaowen Xu Shi Shu Libo Wang 

机构地区：[1]National Center for Applied Mathematics in Hunan,Key Laboratory of Intelligent Computing&Information Processing of Ministry of Education,Hunan Key Laboratory for Computation and Simulation in Science and Engineering,Xiangtan University,Xiangtan 411105,P.R.China [2]Laboratory of Computational Physics,Institute of Applied Physics and ComputationalMathematics,Beijing 100094,P.R.China [3]College of Information Science and Technology,JinanUniversity,Guangzhou 510632,P.R.China

出　　处：《Communications in Computational Physics》2022年第8期829-849,共21页计算物理通讯（英文）

基　　金：financially supported by Hunan National Applied Mathematics Center(2020ZYT003);National Natural Science Foundation of China(11971414,62102167);Research Foundation of Education Bureau of Hunan(21B0162);Guangdong Basic and Applied Basic Research Foundation(2020A1515110364).

摘　　要：We concentrate on the parallel,fully coupled and fully implicit solution of the sequence of 3-by-3 block-structured linear systems arising from the symmetrypreserving finite volume element discretization of the unsteady three-temperature radiation diffusion equations in high dimensions.In this article,motivated by[M.J.Gander,S.Loisel,D.B.Szyld,SIAM J.Matrix Anal.Appl.33(2012)653–680]and[S.Nardean,M.Ferronato,A.S.Abushaikha,J.Comput.Phys.442(2021)110513],we aim to develop the additive and multiplicative Schwarz preconditioners subdividing the physical quantities rather than the underlying domain,and consider their sequential and parallel implementations using a simplified explicit decoupling factor approximation and algebraic multigrid subsolves to address such linear systems.Robustness,computational efficiencies and parallel scalabilities of the proposed approaches are numerically tested in a number of representative real-world capsule implosion benchmarks.

关 键 词：Radiation diffusion equations Schwarz methods algebraic multigrid parallel and distributed computing 

分 类 号：O17[理学—数学]