Universality of k(-1) noise, the enstrophy cascade, and the large-scale atmospheric spectrum
Direct numerical simulations of two-dimensional (2D) incompressible Navier-Stokes turbulence can model large-scale atmospheric dynamics when driving and dissipation cover wide ranges of length scales. Natural assumptions for the 2D energy balance lead to the robust k(-1) vorticity spectrum (k=2pi, l...
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| Published in | Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Vol. 62; no. 1 Pt A; p. 525 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
United States
01.07.2000
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| Online Access | Get more information |
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| Summary: | Direct numerical simulations of two-dimensional (2D) incompressible Navier-Stokes turbulence can model large-scale atmospheric dynamics when driving and dissipation cover wide ranges of length scales. Natural assumptions for the 2D energy balance lead to the robust k(-1) vorticity spectrum (k=2pi, length scale) observed in the atmosphere. Scaling in k space is related to hyperbolicity of large-scale 2D flow in physical space. The mechanism of this scaling has similarities with a recent model of dissipative self-organized criticality. |
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| ISSN: | 1063-651X |
| DOI: | 10.1103/PhysRevE.62.525 |