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Spectra of local and nonlocal two-dimensional turbulence. (English) Zbl 0823.76034
Summary: We propose a family of two-dimensional incompressible fluid models indexed by a parameter \(\alpha\in [0, \infty]\), and discuss the spectral scaling properties for homogeneous, isotropic turbulence in these models. The family includes two physically realizable members. It is shown that the enstrophy cascade is spectrally local for \(\alpha< 2\), but becomes dominated by nonlocal interactions for \(\alpha> 2\). Numerical simulation indicate that the spectral slopes are systematically steeper than those predicted by the local scaling argument.

76F05 Isotropic turbulence; homogeneous turbulence
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