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| 題 名 | Stable Preconditioning for the Generalized Conjugate Gradient Method Used in Convection-Diffusion Problems=共扼級數法在對流擴散方程式上的運用 |
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| 作 者 | 沈紹青; | 書刊名 | 大仁學報 |
| 卷 期 | 16 1998.03[民87.03] |
| 頁 次 | 頁31-48 |
| 分類號 | 313.79 |
| 關鍵詞 | 共扼級數法; 對流擴散方程式; |
| 語 文 | 英文(English) |
| 中文摘要 | 本文討論一可提升共扼級數法穩定性的調整矩陣的計算法,此方法將計算區域依 速度方向對變數在矩陣內之順序作調整,因此大幅減少矩陣分解的誤差,而得到相當好 的收斂穩定性。 |
| 英文摘要 | In this work, we demonstrate a useful technique for generating an improved preconditioning matrix used in the generalized conjugate gradient method for the convection-diffusion problems. This technique suits the convection-diffusion problems with high cell Peclet number. The preconditioning matrix is produced by the traditional I1U factorization. By re-ordering the variable according to the local flow direction, we are able to minimize the factorization error, thus producing physically realistic correction for the CG algorithm. This technique is found to work best for convection-dominated problems. |
本系統中英文摘要資訊取自各篇刊載內容。