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A. Geometric parameters To characterize the geometric feature of POD eddies, we first define their geometric parameters. As illustrated in Fig. 4, each POD eddy is bounded by a bounding box that measures its spatial extent (i.e., lx, ly, and lz). The Ψ-weighted centroid pc=(xc,yc,zc) is calculated as xc=⟨xΨ(x,y,z)⟩y,z⟨Ψ(x,y,z)⟩y,z,yc=⟨yΨ(x,y,z)⟩x,z⟨Ψ(x,y,z)⟩x,z,zc=⟨zΨ(x,y,z)⟩x,y⟨Ψ(x,y,z)⟩x,y.
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