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離心泵混合網格優(yōu)化算法研究
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國家自然科學基金資助項目(51309119),、“十二五”國家科技支撐計劃資助項目(2013BAK06B02),、江蘇省重點研發(fā)計劃資助項目(BE2015001-1)和江蘇高校優(yōu)勢學科建設工程資助項目(PAPD)


Algorithm Optimization of Hybrid Grid for Centrifugal Pump
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    摘要:

    針對現(xiàn)有離心泵混合網格優(yōu)化算法,,分別對四面體網格和三棱柱網格進行優(yōu)化,,會出現(xiàn)優(yōu)化質量不高且效率較低的問題,建立一種同時考慮三角形形狀和棱柱側邊正交性的三棱柱網格質量優(yōu)化目標函數(shù),,并結合已有四面體網格質量優(yōu)化目標函數(shù),,建立了能夠在優(yōu)化的同時考慮四面體和三棱柱網格質量的目標函數(shù)。此外,,對比分析了6種不同求最優(yōu)值方法在迭代次數(shù)以及需求精度等因素變化情況下對混合網格優(yōu)化效果的影響,。數(shù)值驗證結果表明,,共軛梯度法和二分法相結合且權重系數(shù)取0.2的求最優(yōu)值方法,其優(yōu)化效果和效率最好,;對比分析本優(yōu)化算法與某商業(yè)軟件中的優(yōu)化算法,,最差網格單元質量和整體網格的質量均有所提高,且本算法優(yōu)化后得到的最差網格單元質量要高于某商業(yè)軟件,。所提算法的優(yōu)化效果優(yōu)于已有算法,。

    Abstract:

    The algorithm optimization of hybrid grid for centrifugal pump optimizes tetrahedral mesh and tri-prism grid separately, which will lead to low quality and efficiency. To solve this problem, a tri-prism grid quality optimization objective function balancing triangle shape and orthogonality of prismatic side was established. Besides, the effects of six different methods of solving optimal solution on the results of optimizing hybrid grids were compared. Moreover, the impact of weight coefficient on optimization was also studied and the optimization results between the algorithm and a commercial software were compared. Results showed that the optimization results and efficiency were better when the conjugate gradient method and dichotomy were combined and weight coefficient value was 0.2. With the optimization algorithm, the quality of the worst grid cell and the whole grid was increased, comparing with the commercial software. In addition, the quality of the worst grid cell with the optimization algorithm was also increased compared with the commercial software. It indicates that the optimization algorithm is better than the existing algorithms.

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劉厚林,肖佳偉,明加意,董亮,劉明明.離心泵混合網格優(yōu)化算法研究[J].農業(yè)機械學報,2015,46(10):49-55. Liu Houlin, Xiao Jiawei, Ming Jiayi, Dong Liang, Liu Mingming. Algorithm Optimization of Hybrid Grid for Centrifugal Pump[J]. Transactions of the Chinese Society for Agricultural Machinery,2015,46(10):49-55.

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  • 收稿日期:2015-03-02
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  • 在線發(fā)布日期: 2015-10-10
  • 出版日期: 2015-10-10
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