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離心泵混合網(wǎng)格優(yōu)化算法研究
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國家自然科學(xué)基金資助項(xiàng)目(51309119)、“十二五”國家科技支撐計(jì)劃資助項(xiàng)目(2013BAK06B02)、江蘇省重點(diǎn)研發(fā)計(jì)劃資助項(xiàng)目(BE2015001-1)和江蘇高校優(yōu)勢學(xué)科建設(shè)工程資助項(xiàng)目(PAPD)


Algorithm Optimization of Hybrid Grid for Centrifugal Pump
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    摘要:

    針對(duì)現(xiàn)有離心泵混合網(wǎng)格優(yōu)化算法,分別對(duì)四面體網(wǎng)格和三棱柱網(wǎng)格進(jìn)行優(yōu)化,會(huì)出現(xiàn)優(yōu)化質(zhì)量不高且效率較低的問題,建立一種同時(shí)考慮三角形形狀和棱柱側(cè)邊正交性的三棱柱網(wǎng)格質(zhì)量優(yōu)化目標(biāo)函數(shù),并結(jié)合已有四面體網(wǎng)格質(zhì)量優(yōu)化目標(biāo)函數(shù),建立了能夠在優(yōu)化的同時(shí)考慮四面體和三棱柱網(wǎng)格質(zhì)量的目標(biāo)函數(shù)。此外,對(duì)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(duì)混合網(wǎng)格優(yōu)化效果的影響。數(shù)值驗(yàn)證結(jié)果表明,共軛梯度法和二分法相結(jié)合且權(quán)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(duì)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(wǎng)格單元質(zhì)量和整體網(wǎng)格的質(zhì)量均有所提高,且本算法優(yōu)化后得到的最差網(wǎng)格單元質(zhì)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(wǎng)格優(yōu)化算法研究[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),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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