| 限流扩散理论的局限性及其改进 |
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| 引用本文： | 刘成安,黄文凯.限流扩散理论的局限性及其改进[J].计算物理,1986,3(1):56-64. |
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| 作者姓名： | 刘成安 黄文凯 |
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| 作者单位： | 应用物理与计算数学研究所 |
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| 摘 要： | 对几种典型的限流扩散理论的局限性与含时间吸收项的渐近扩散理论的长处作了分析和数字计算比较。结论是,理论上所导出的限流扩散方程,虽然形式上解决了中子迁移的限流问题,但由于理论推导中所作的假定带有一定的局限性,往往使限流过度;而带有时间吸收项的渐近扩散理论避免了上述的局限性,因而它对中子迁移问题的描述优于限流扩散理论。
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| 收稿时间： | 1985-08-16 |
THE LIMITATION OF FIUX-LIMITED DIFFUSION THEORY AND ITS IMPROVEMENT |
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| Liu Cheng-an,Huang Wen-kai.THE LIMITATION OF FIUX-LIMITED DIFFUSION THEORY AND ITS IMPROVEMENT[J].Chinese Journal of Computational Physics,1986,3(1):56-64. |
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| Authors: | Liu Cheng-an Huang Wen-kai |
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| Institution: | Institute of Applied Physics and Computional Mathematics |
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| Abstract: | The limitations of various typical flux-Limited diffusion theory and advantage of asymptotic diffusion theory with time absorption constant are analyzed and numerically compared. The conclusions are as follows. Though the flux-Limited problem in neutron diffusion theory are theoretically solved by means of derived flux-Limited diffusion equation, but it's going too far to limit flux due to the inappropriate of the assumption in deriving flux-limited diffusion equation. The asymptotic diffusion theory with time absorption constant has eliminated the above-mentioned limitation, so it is more accurate than flux-Limited diffusion theory in describing neutron transport problem. |
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