关于湍流理论中的不封闭性的讨论*
On the Closure Problem of Turbulence Model Theory
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摘要: 有一种观点认为湍流的不封闭性是由于N-S方程的非线性,这是一似是而非的错误说法。因为工程上要求的量并不仅仅限于湍流的平均速度和平均压力,即使方程式是线性的,也无法把工程上要求的这些量逐个求出来。本文论证了湍流的不封闭性来源于目前的湍流理论中缺少了一个与实际情况符合的有关分布函数,并且进一步说明了湍流模式理论的局限性和用N-S方程直接计算机模拟亦是相当困难的原因。Abstract: It is a wrong viewpoint that the turbulence closure problem is due to the non-linearity,of Navier-stokes equation,But this is a wrong viewed for the closure problem of turbulence model theory.In the engineering,the average raged velocity and pressure are not satisfied,on the other hand,even if the N-Sequation were linear,all of the physical quantities would be found.In this paper,were analysed the closure problem and concluded that the closure problem is induced by lack of statistical distribution function.The limit of turbulence model theory and non-possiblity of direct numerical method to solve the turbulence problem had been paiated out.
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Key words:
- turbulence /
- closure problem /
- model theory /
- distribution function
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[1] 蔡树棠、周光洞.魏中磊,谢象春,湍流研究最近半世纪的一些进展,力学进展,10 (1) (1980),16-36. [2] 蔡树棠、林多敏,表示揣流场.月一种新设想,应用数学和力学,12 (1) (1991),91-95. [3] Launder,B. E. et al.,Mathematical Models of Turbulence,Academic Press,London and New York(1970). [4] Launder,B. E.et al.,Turbulence Models and Their Applications Editions Enrolles(1984). [5] Lestic,D. C.,Developments in the Theory of Turbulence,Oxford University Press,New York(1983). -
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