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Non-local energy transfers in rotating turbulence at intermediate Rossby number

机译:在中级罗斯比数旋转湍流中的非局部能量转移

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摘要

Turbulent flows subject to solid-body rotation are known to generate steep energy spectra and two-dimensional columnar vortices. The localness of the dominant energy transfers responsible for the accumulation of the energy in the two-dimensional columnar vortices of large horizontal scale remains undetermined. Here, we investigate the scale-locality of the energy transfers directly contributing to the growth of the two-dimensional columnar structures observed in the intermediate Rossby number (Ro) regime. Our approach is to investigate the dynamics of the waves and vortices separately: we ensure that the two-dimensional columnar structures are not directly forced so that the vortices can result only from association with wave to vortical energy transfers. Detailed energy transfers between waves and vortices are computed as a function of scale, allowing the direct tracking of the role and scales of the wave–vortex nonlinear interactions in the accumulation of energy in the large two-dimensional columnar structures. It is shown that the dominant energy transfers responsible for the generation of a steep two-dimensional spectrum involve direct non-local energy transfers from small-frequency small-horizontal-scale three-dimensional waves to large-horizontal-scale two-dimensional columnar vortices. Sensitivity of the results to changes in resolution and forcing scales is investigated and the non-locality of the dominant energy transfers leading to the emergence of the columnar vortices is shown to be robust. The interpretation of the scaling law observed in rotating flows in the intermediate-Ro regime is revisited in the light of this new finding of dominant non-locality.
机译:已知经受固体旋转的湍流流动,以产生陡峭的能谱和二维柱状涡流。负责大水平尺度的二维柱状涡流积累能量的主要能量转移的局部保持不确定。在这里,我们研究了直接导致中间罗斯比数(RO)制度中观察到的二维柱状结构的生长的能量转移的尺度局部。我们的做法是分别考察波和旋涡的动态:我们确保二维柱状结构不直接被迫使涡流只能从与波旋涡能量转移的关联结果。将波浪和涡流之间的详细能量转移作为比例的函数,允许直接跟踪波 - 涡旋非线性相互作用的角色和尺度在大的二维柱状结构中的能量积累中。结果表明,负责生成陡峭二维光谱的主导能量转移涉及直接非局部能量转移到大频率的小水平三维波到大水平级二维柱状涡流。研究结果对分辨率和强制尺度变化的敏感性,并且显着的能量转移的非局部性导致柱状涡流的出现被认为是稳健的。根据主导非地方的新发现,重访在中间RO制度中旋转流动中观察到的缩放法的解释。

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