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Turbulence spreading into the linearly stable zone and transport scaling

机译：湍流扩散到线性稳定区域并迁移到水垢

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摘要

We study the simplest problem of turbulence spreading corresponding to the spatio-temporal propagation of a-patch of turbulence from a region where it is locally excited to a region of weaker excitation or even local damping. A single model equation for the local turbulence, intensify, I (x, t), includes the effects of local linear growth and damping, spatially local nonlinear coupling to dissipation and spatial scattering of turbulence. energy induced by nonlinear coupling. In the absence of dissipation, front propagation into the linearly stable zone occurs with the property of rapid progression at small t, followed by-slower sub-diffusive progression at late times. The turbulence radial spreading into the linearly stable zone reduces the turbulent intensity in the linearly unstable zone and introduces an additional dependence on the,p pi la to the turbulent intensity and the transport scaling. These are in broad, semi-quantitative, agreement with a number of global gyrokinetic simulation results with zonal flows and without zonal flows. Front, propagation stops when the radial flux of fluctuation energy from. the linearly unstable region is balanced by local dissipation in the linearly stable region.
机译：我们研究了湍流扩散的最简单问题，该问题与湍流A斑的时空传播相对应，该湍流从其被局部激发的区域到较弱的激发甚至是局部阻尼的区域。局部湍流的单个模型方程式I（x，t）包括局部线性增长和阻尼，空间局部非线性耦合到湍流消散和空间散射的影响。非线性耦合引起的能量。在没有耗散的情况下，发生向线性稳定区域的前传播，其特征是在小t处快速进展，随后在较晚时间随后缓慢扩散。径向扩散到线性稳定区域中的湍流减小了线性不稳定区域中的湍流强度，并且对湍流强度和传输比例带来了额外的依赖性。这些在广义上，半定量上与具有区域流动和没有区域流动的许多全局陀螺动力学模拟结果一致。前面，传播时径向能量的波动就停止了。线性不稳定区域由线性稳定区域中的局部耗散平衡。

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