turbulence中的非局部-局部多模分岔
Nonlocal-local multimode bifurcation in turbulence
摘要：
结果表明，在各向同性湍流在小雷诺数（当非局部相互作用是主导的）的能量重新分配和耗散的惯性波的机制，可以有效地利用。该机制完全抑制了泰勒尺度雷诺数$R_λ < 10^2$下各向同性湍流中的局部相互作用（级联）。这个值的$R_λ$（这可以被认为是一个分歧值，在该分歧值处，在各向同性湍流中的本地制度出现从非本地的）是与最近的直接数值模拟数据。本文还简要讨论了这种方法对河道水流的适用性。为了解释各向同性湍流中非定域-定域分岔的反常性质（与Landau-Hopf分岔相比），发展了多模分岔理论。
英文摘要：
It is shown that a mechanism of energy redistribution and dissipation by the inertial waves can be effectively utilized in isotropic turbulence at small Reynolds numbers (when the nonlocal interactions are the dominating ones). This mechanism totally suppresses the local interactions (cascades) in isotropic turbulence at the Taylor-scale based Reynolds number $R_λ < 10^2$. This value of $R_λ$ (that can be considered as a bifurcation value at which the local regime emerges from the nonlocal one in isotropic turbulence) is in agreement with recent direct numerical simulations data. Applicability of this approach to channel flows is also briefly discussed. A theory of multimode bifurcations has been developed in order to explain anomalous (in comparison with the Landau-Hopf bifurcations) properties of the nonlocal-local bifurcation in isotropic turbulence.
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