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钱俭. 涡度拟能传输惯性区二维湍流标量场方差谱[J]. 力学学报, 1992, 24(4): 400-403. DOI: 10.6052/0459-1879-1992-4-1995-754
引用本文: 钱俭. 涡度拟能传输惯性区二维湍流标量场方差谱[J]. 力学学报, 1992, 24(4): 400-403. DOI: 10.6052/0459-1879-1992-4-1995-754
SCALAR VARIANCE SPECTRUM IN ENSTROPHY CASCADE RANGE OF 2-D TURBULENCE[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(4): 400-403. DOI: 10.6052/0459-1879-1992-4-1995-754
Citation: SCALAR VARIANCE SPECTRUM IN ENSTROPHY CASCADE RANGE OF 2-D TURBULENCE[J]. Chinese Journal of Theoretical and Applied Mechanics, 1992, 24(4): 400-403. DOI: 10.6052/0459-1879-1992-4-1995-754

涡度拟能传输惯性区二维湍流标量场方差谱

SCALAR VARIANCE SPECTRUM IN ENSTROPHY CASCADE RANGE OF 2-D TURBULENCE

  • 摘要: 本文应用非平衡统计力学封闭方法,给出涡度拟能传输惯性区二维湍流标量场方差谱的完整表达式,数值计算该表达式中的比例系数B。由于传输过程的非局部性,B依赖于表征波数变化范围的局部化因子,不再是普适常数。

     

    Abstract: The nonequilibrium statistical-mechanics theory of a passive scalar field convected by turbulence is applied to study the variance spectrum G(k) of a 2-D (two-dimensional) turbulent passive scalar field in the convective range, while the velocity spectrum E(k)= cX2/3k-3 in the enstrophy cascade range, here X is the enstrophy dissipation rate, C is a dimensionless coefficient. The closure equations in this case are divergent due to the nonlocalness of the cascade process in 2-D turbulence. In order to overco...

     

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