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Extraction of coherent vortex tubes in a 3D turbulent mixing layer using orthogonal wavelets

机译:使用正交小波萃取3D湍流混合层中的相干涡管

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We present a new technique to extract coherent vortex tubes out of turbulent flows. The method is based on an orthogonal vector-valued wavelet decomposition of the vorticity field using the fast wavelet transform. A nonlinear thresholding of the wavelet coefficients is applied, where the threshold depends on the Reynolds number and on the total enstrophy of the flow, only. The coherent vortex tubes are reconstructed from the strong wavelet coefficients while the remaining weak coefficients correspond to an incoherent background flow. As example we present an application of this method to a turbulent mixing layer computed by high resolution direct numerical simulation. We find that only few wavelet coefficients are necessary to represent the coherent vortex tubes of the flow. The incoherent background flow reconstructed from the remaining weak coefficients is structureless and exhibits an energy equipartition.
机译:我们提出了一种新的技术来从湍流中提取连贯的涡流管。该方法基于使用快小波变换的涡流场的正交矢量值小波分解。施加小波系数的非线性阈值处理,其中阈值取决于雷诺数和流量的全敌对。从强小波系数重建相干涡流,而剩余的弱系数对应于不相停的背景流程。作为示例,我们向通过高分辨率直接数值模拟计算的湍流混合层呈现该方法的应用。我们发现,只有少量小波系数是表示流动的相干涡管的必要条件。从剩余的弱系数重建的不连贯的背景流程是结构的并且展示了能量备分。

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