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坡面流運(yùn)動方程的Lattice Boltzmann方法求解
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國家自然科學(xué)基金資助項(xiàng)目(41301037)和江蘇省高校自然科學(xué)基礎(chǔ)研究資助項(xiàng)目(11KJB170008)


Application of Lattice Boltzmann Method to Overland Flow’s Movement and Experimental Verification
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    摘要:

    作為土壤水蝕過程的主要動力,準(zhǔn)確模擬坡面水流過程,對于明確坡面侵蝕機(jī)理,構(gòu)建土壤侵蝕物理過程模型具有重要意義。給出了Lattice Boltzmann方法在坡面水流運(yùn)動過程中應(yīng)用的詳細(xì)步驟,并通過室內(nèi)人工模擬降雨實(shí)驗(yàn),驗(yàn)證了其有效性。實(shí)驗(yàn)結(jié)果表明:通過只對時(shí)間作多重尺度化,以多尺度分析為手段通過待定系數(shù)法來確定平衡態(tài)分布函數(shù),以宏觀上邊界條件作為限制條件,用平衡態(tài)分布函數(shù)代替上邊界結(jié)點(diǎn)上的分布函數(shù),及通過分布函數(shù)外推格式來確定下邊界結(jié)點(diǎn)上的分布函數(shù)的處理方法,可將Lattice Boltzmann法成功應(yīng)用于坡面流運(yùn)動方程的求解,各場次降雨的地面徑流深誤差均在±11%以內(nèi)。

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    As the main reason for soil water erosion, the overland flow process should be simulated precisely to understand the mechanism of slop soil erosion process. Developed based on the kinetic theory, Lattice Boltzmann method has advantages of concise programming, parallel computing and complex geometric adaptability, etc. So its application in field of fluid motion becomes more and more extensively. The detailed steps about applying Lattice Boltzmann method to the movement of overland flow was given firstly, and then its validity was verified through artificial simulated rainfall experiment. The results indicate that if the time is processed by multi-scale approach and the space is not, the equilibrium distribution function is determined by the method of undetermined coefficients and multi-scale analysis, the distribution function about nodes of the upper boundary is replaced by the equilibrium distribution function through regarding the macroscopic upper boundary conditions as limiting conditions, and the distribution function about nodes of the lower boundary is set by extrapolation format of distribution function, Lattice Boltzmann method will successfully become a motion equation solver. The errors of runoff depth are within ±11%.

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張小娜,馮 杰,張東輝.坡面流運(yùn)動方程的Lattice Boltzmann方法求解[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2014,45(3):101-106. Zhang Xiaona, Feng Jie, Zhang Donghui. Application of Lattice Boltzmann Method to Overland Flow’s Movement and Experimental Verification[J]. Transactions of the Chinese Society for Agricultural Machinery,2014,45(3):101-106.

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  • 收稿日期:2013-10-11
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  • 在線發(fā)布日期: 2014-03-10
  • 出版日期: 2014-02-10