多くの零対角要素を含む大規模非対称粗行列解法の安定化手法 : 非圧縮性定常流動計算のためのフロンタル解法

概要

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This paper deals with a study on a stabilizing algorithm for matrices. This algorithm is based on the diagonal pivoting technique in which the order of elimination of equations is controlled, that is, the mass continuity equation is eliminated after the elimination of the momentum equations. The algorithm has been incorporated into a frontal solution program. A comparison of the computer time required for a band matrix algorithm and an earlier frontal method in which the pivot was chosen with that required for the new algorithm was carried out. Advantages of the vectorization of the programming were demonstrated by calculations using scalar and vector processors. To test the stability of the solution obtained by the present algorithm, a cavity driven flow problem under high Re number conditions was analyzed.
一般社団法人日本機械学会の論文
1997-03-25