An Adaptive Two-level Preconditioner for 2-D 3-T Radiation Diffusion Equations

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2012, Vol. 29 ›› Issue (4): 475-483.

An Adaptive Two-level Preconditioner for 2-D 3-T Radiation Diffusion Equations

ZHOU Zhiyang¹, XU Xiaowen², SHU Shi¹, FENG Chunsheng¹, MO Zeyao²

1. School of Mathematics and Computational Science, Xiangtan University, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Hunan 411105, China;
2. High Performance Computing Center, Computation Physics Laboratory, Institute of Applied Physics and Computational Mathematics, Beijing 100094, China

Received:2011-09-20 Revised:2012-01-17 Online:2012-09-25 Published:2012-09-25

Abstract

Abstract: Performance of physical-variable based coarsening two-level(PCTL) preconditioner is analyzed for typical linear systems discretizated from two-dimensional(2-D) radiative diffusion equations with photon,electron,ion temperatures(3-T).It reveals that performance of PCTL strongly depends on both coupling of three temperatures and diagonally dominance of three diagonal sub-matrices of coefficient matrix.An adaptive algorithm for sub linear systems in PCTL is proposed.Numerical results show efficiency and robustness of the method.For 37 2-D 3-T linear systems in simulations,PCTL based on the algorithm speeds up 2.5 times compared with classical algebraic multigrid (AMG) preconditioners.

Key words: 2-D 3-T, radiation diffusion, algebraic multigrid (AMG), preconditioner, adaptive

CLC Number:

ZHOU Zhiyang, XU Xiaowen, SHU Shi, FENG Chunsheng, MO Zeyao. An Adaptive Two-level Preconditioner for 2-D 3-T Radiation Diffusion Equations[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 29(4): 475-483.

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An Adaptive Two-level Preconditioner for 2-D 3-T Radiation Diffusion Equations

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