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頁籤選單縮合
題名 | A Study of Iterative Procedures on SIMPLE-Like Algorithms for Viscous Incompressible Flows=黏性不可壓縮流SIMPLE類計算方法的疊代過程研究 |
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作者 | 陳宗輝; | 書刊名 | 大漢學報 |
卷期 | 12 1998.11[民87.11] |
頁次 | 頁17-38 |
分類號 | 440.137 |
關鍵詞 | 黏性不可壓縮流; 疊代次數; 動量方程式; 數值模擬; SIMPLE; Simpler; |
語文 | 英文(English) |
中文摘要 | 關於差離的動量方程式,本文提出一個新的研討方式來建立不完全速度及速度修正方程式。本文不採用Patankar的不完全速度方程式,而考慮動量方程式內鄰近速度修正總和。 這個方結合SIMPLE和SIMPLER程序對二維黏性不可壓縮流進行數值模擬,包括:上蓋趨動穴流,方形箱流,後階流及封閉式自然對流。概括而言,本方式可以成功地模擬上述的流體,但疊代收斂速率並不顯著穫得改善。對於上述流體所需的疊代次數,本文詳加研究,並提出一個加速收斂速率的改善方法且進行測試。結果顯式:當本改善方法與SIMPLE和SIMPLER比較時,本方法能大幅地降低疊代次數。 |
英文摘要 | A new approach to formulating the imperfect velocity and evlocity-correction equations for the discretized momentum equations is proposed. Instead of following the imperfect velocity equations by Patankar [1], the terms with the sum of the neighbouring velocity-correction items were considered in the discretized momentum equations in this paper. This approach combined with the SIMPLE and SIMPLER algorithms was used to simulate 2-D viscous incompressible flows including a lid-driven cavity flow, a rectangular tank flow, a backward-facing step flow and a natural convection flow inside an enclosure. In general, this approach was capable of calculating all cases with success. However, the iterated convergent rate was not apparently improved. Investigations to the required iterations for the computed flows were carried out and an improved method for accelerating the convergent rate was proposed and tested. It is found that this procedure can significantly reduced the iteration number compared with those of original SIMPLE and SIMPLER algorithms. |
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