αSetup-PCTL: An adaptive setup-based two-level preconditioner for sequence of linear systems of three-temperature energy equations

摘要: The iterative solution of the sequence of linear systems arising from threetemperature (3-T) energy equations is an essential component in the numerical simulation of radiative hydrodynamic (RHD) problem. However, due to the complicated application features of the RHD problems, solving 3-T linear systems with classical preconditioned iterative techniques is challenging. To address this difficulty, a physicalvariable based coarsening two-level (PCTL) preconditioner has been proposed by dividing the fully coupled system into four individual easier-to-solve subsystems. Despite its nearly optimal complexity and robustness, the PCTL algorithm suffers from poor efficiency because of the overhead associated with the construction of setup phase and the solution of subsystems. Furthermore, the PCTL algorithm employs a fixed strategy for solving the sequence of 3-T linear systems, which completely ignores the …