Third-order structure functions for isotropic turbulence with bidirectional energy transfer

Third-order structure functions for isotropic turbulence with bidirectional energy transfer
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具有双向能量传递的各向同性湍流的三阶结构函数

DOI:
10.1017/jfm.2019.651
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发表时间:
2019
影响因子:
3.7
通讯作者:
Bühler, Oliver
Bühler, Oliver
中科院分区:
工程技术2区
文献类型:
--
作者:
Xie, Jin-Han;Bühler, Oliver

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我们推导和检验了一个新的三阶结构函数的启发式理论,该理论解决了同时向小尺度和大尺度转移光谱能量的情况下的强迫尺度,这可以自然地发生在旋转分层湍流或磁流体动力学湍流中。该理论有三个参数当应用于测量数据时,我们的全局尺度理论可以利用全范围的数据来推导能量转移率,因此与局部理论相比具有更广泛的应用,特别是在数据不完美的情况下。此外,由于强迫尺度的分辨率,新理论可以检测到能量输入的尺度,这在以前是不可能的。我们用MHD湍流的二维模拟来检验我们的新理论。
We derive and test a new heuristic theory for third-order structure functions that resolves the forcing scale in the scenario of simultaneous spectral energy transfer to both small and large scales, which can occur naturally, for example, in rotating stratified turbulence or magnetohydrodynamical (MHD) turbulence. The theory has three parameters – namely the upscale/downscale energy transfer rates and the forcing scale – and it includes the classic inertial-range theories as local limits. When applied to measured data, our global-in-scale theory can deduce the energy transfer rates using the full range of data, therefore it has broader applications compared with the local theories, especially in situations where the data is imperfect. In addition, because of the resolution of forcing scales, the new theory can detect the scales of energy input, which was impossible before. We test our new theory with a two-dimensional simulation of MHD turbulence.
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