Self-similar turbulence evolution and the dissipation rate transport equation
Self-similar turbulence evolution and the dissipation rate transport equation
复制标题
自相似湍流演化与耗散率输运方程
DOI：
10.1063/1.2046707
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发表时间：
2005
影响因子：
4.6
通讯作者：
T. Clark
中科院分区：
文献类型：
--
作者：
R. Rubinstein;T. Clark
在统计非定常力驱动的各向同性湍流中，分析了耗散率输运方程。在慢谱变化的极限下，Tennekes和Lumley [A First Course in Turbulence（MIT Press，剑桥，MA，1972）]假设的涡拉伸和拟能破坏之间的平衡得到了验证，谱闭合被用来确定它们之间的O（Re 0）差;然而，没有得到一个明确的公式化的结果。通常对湍流方程进行校正，以预测自相似单位流，如衰减湍流和均匀剪切流。通过构造强迫各向同性湍流的自相似态类来说明这种方法的局限性。任何对自相似方程中常数的选择都会产生一个与某些自相似态相一致的模型，但不是所有可能的状态：标准形式的双方程模型选择一类可接受的自相似态，并排除其他的自相似态。
The dissipation rate transport equation is analyzed in the setting of time-dependent isotropic turbulence driven by a statistically unsteady force. In the limit of slow spectral variation, the balance between vortex stretching and enstrophy destruction postulated by Tennekes and Lumley [A First Course in Turbulence (MIT Press, Cambridge, MA, 1972)] is verified and spectral closure is used to identify the O(Re0) difference between them; however, no definite formulation of an ϵ-equation results. The ϵ equation is usually calibrated to predict self-similar unit flows such as decaying turbulence and homogeneous shear flow. The limitations of this approach are shown by constructing classes of self-similar states of forced isotropic turbulence. Any choice of constants in the ϵ equation yields a model that is consistent with some self-similar states, but not with all possible states: two-equation models of the standard form select a class of admissible self-similar states and rule out the others.