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《2016第八届全国计算物理会议报告文集》2016年
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A JASMIN-based Two-dimensional Adaptive Combined Preconditioner with Applications in Radiation Diffusion Equations

Xiaoqiang Yue  Xiaowen Xu  Shi Shu  
【摘要】:In this paper we present a JASMIN-based two-dimensional parallel implementation of an adaptive combined preconditioner Ba co,which was developed in[Commun.Comput.Phys.,18(5)(2015):1313-1335],for the solution of linear problems corresponding to the finite volume discretization of one-and multi-group radiation diffusion equations.We firstly propose the attribute of patch-correlation for cells of two-dimensional monolayer piecewise rectangular structured grid without any suspensions based on the patch hierarchy of JASMIN,classify and reorder these cells via their attributes,and derive the conversion of cell-permutations.Using the two cell-permutations,we next construct parallel incomplete LU factorization and substitution algorithras,and provide the parallel Ba co-GMRES solver with the help of the default BoomerAMG in HYPRE library.Numerical results demonstrate that our proposed parallel incomplete LU preconditioner is of higher efficiency than the one in Euclid library,and the proposed parallel Ba co-GMRES solver is more robust and more efficient than the default BoomerAMG-GMRES solver.

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