TY - JOUR
T1 - Two Physics-Based Schwarz Preconditioners for Three-Temperature Radiation Diffusion Equations in High Dimensions
AU - Yue , Xiaoqiang
AU - He , Jianmeng
AU - Xu , Xiaowen
AU - Shu , Shi
AU - Wang , Libo
JO - Communications in Computational Physics
VL - 3
SP - 829
EP - 849
PY - 2022
DA - 2022/09
SN - 32
DO - http://doi.org/10.4208/cicp.OA-2021-0223
UR - https://global-sci.org/intro/article_detail/cicp/21047.html
KW - Radiation diffusion equations, Schwarz methods, algebraic multigrid, parallel and distributed computing.
AB - <p style="text-align: justify;">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 symmetry-preserving 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.</p>