A new methodology to construct three-dimensional, temporally stationary but spatially inhomogeneous, incompressible turbulence is presented. The method combines use of the data-driven spectral proper orthogonal decomposition (SPOD) to identify and isolate large-scale coherent motions of the flow, together with a physics-based enrichment algorithm using spatiotemporally localized Gabor modes that capture the inertial subrange turbulence. This fusion of data-driven and physics-based methods enables a statistically correct reconstruction of broadband turbulent flows using fewer modes than would be required using SPOD alone. To demonstrate the approach, we consider the problem of reconstructing wake turbulence on a plane downstream of a dragging actuator disk impinged by homogeneous isotropic turbulence. The reconstructed flow has single- and two-point correlations that are consistent with the reference high-resolution simulation data and could be used to generate statistically consistent inflow boundary conditions for subsequent simulations.

中文翻译：

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使用频谱适当的正交分解和 Gabor 模式对非均匀湍流进行宽带重建

提出了一种构建三维、时间静止但空间不均匀、不可压缩湍流的新方法。该方法结合使用数据驱动的频谱适当正交分解 (SPOD) 来识别和隔离流的大规模相干运动，以及使用时空局部 Gabor 模式捕获惯性子范围湍流的基于物理的富集算法。这种数据驱动和基于物理的方法的融合能够使用比单独使用 SPOD 所需的模式更少的模式对宽带湍流进行统计上正确的重建。为了演示该方法，我们考虑在受均匀各向同性湍流冲击的拖动致动器盘下游的平面上重建尾流湍流的问题。