A Generalized Selectively Relaxed Matrix Splitting Preconditioning Strategy for Three-Dimensional Flux-Limited Multi-Group Radiation Diffusion Equations
Year: 2024
Author: Xiaoqiang Yue, Sheng Xia, Chunyan Chen, Xiaowen Xu, Shi Shu
Numerical Mathematics: Theory, Methods and Applications, Vol. 17 (2024), Iss. 3 : pp. 630–657
Abstract
Driven by the challenging task of pursuing the robust and accurate iterative numerical solution of the three-dimensional flux-limited multi-group radiation diffusion equations in an efficient and scalable manner, we propose and analyze a generalized matrix splitting preconditioning scheme with two selective relaxations and algebraic multigrid subsolves, introduce an algebraic quasi-optimal choice strategy to determine the involved parameters and consider its sequential implementation and two-level parallelization. A great deal of numerical results for typical unstructured twenty-group problems arising from realistic simulations of the hydrodynamic instability are presented and discussed to demonstrate the robustness, efficiency, strong and weak parallel scaling properties with up to 2,816 parallel processor cores together with the competitiveness of the proposed preconditioner when compared with several state-of-the-art monolithic and block preconditioning approaches.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.OA-2023-0098
Numerical Mathematics: Theory, Methods and Applications, Vol. 17 (2024), Iss. 3 : pp. 630–657
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 28
Keywords: Radiation diffusion equations matrix splitting preconditioning selective relaxation algebraic multigrid parallel and distributed computing.