Abstract
We propose a family of two-dimensional incompressible fluid models indexed by a parameter α ε{lunate}[0, ∞], 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 α<2, but becomes dominated by nonlocal interactions for α>2. Numerical simulations indicate that the spectral slopes are systematically steeper than those predicted by the local scaling argument.
Original language | English (US) |
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Pages (from-to) | 1111-1116 |
Number of pages | 6 |
Journal | Chaos, Solitons and Fractals |
Volume | 4 |
Issue number | 6 |
DOIs | |
State | Published - Jun 1994 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- General Mathematics
- General Physics and Astronomy
- Applied Mathematics