@Article{CiCP-38-467,
author = {Yue , XiaoqiangHou , JunbaiYuan , LongXu , Xiaowen and Shu , Shi},
title = {A Physics-Wise Splitting Preconditioner with Selective Relaxation for the Multi-Group Radiation Diffusion Equations in Three Dimensions},
journal = {Communications in Computational Physics},
year = {2025},
volume = {38},
number = {2},
pages = {467--490},
abstract = {<p style="text-align: justify;">Designing a good preconditioner for accelerating the iterative solution of the
three-dimensional multi-group radiation diffusion equations based on a cell-centered
finite volume discretization has been the focus of intensive research efforts over the
past few decades. In the present paper, we develop a physics-wise splitting preconditioning algorithm with selective relaxation and algebraic multigrid subsolves.
The spectral distribution and the degree of the minimal polynomial of its right-preconditioned matrix together with the conditional convergence property of its iteration method are analyzed. Subsequently, we discuss its sequential implementation
as well as the two-level parallelization. Lastly, the new preconditioner is applied to the
experimental test cases arising from realistic simulations of the hydrodynamic instability during the deceleration phase of a laser-driven spherical implosion to illustrate
the numerical robustness, computational efficiency, parallel strong and weak scalabilities, and its competitiveness with some existing monolithic and block preconditioning
approaches.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2023-0147},
url = {http://global-sci.org/intro/article_detail/cicp/24304.html}
}