A model differential equation for turbulence
| dc.creator | Connaughton, Colm | |
| dc.creator | Nazarenko, Sergey | |
| dc.date | 2003-04-11 | |
| dc.date | 2003-04-22 | |
| dc.date.accessioned | 2026-07-07T05:49:03Z | |
| dc.date.available | 2026-07-07T05:49:03Z | |
| dc.description | A phenomenological turbulence model in which the energy spectrum obeys a nonlinear diffusion equation is presented. This equation respects the scaling properties of the original Navier-Stokes equations and it has the Kolmogorov -5/3 cascade and the thermodynamic equilibrium spectra as exact steady state solutions. The general steady state in this model contains a nonlinear mixture of the constant-flux and thermodynamic components. Such "warm cascade" solutions describe the bottleneck phenomenon of spectrum stagnation near the dissipative scale. Self-similar solutions describing a finite-time formation of steady cascades are analysed and found to exhibit nontrivial scaling behaviour. | |
| dc.description | April 10 2003 Updated April 22 2003, 9 pages revtex4, 9 figures Added some figures, additional references and corrected typos | |
| dc.identifier | https://arxiv.org/abs/physics/0304044 | |
| dc.identifier | http://arxiv.org/abs/physics/0304044 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/85254 | |
| dc.subject | Fluid Dynamics | |
| dc.title | A model differential equation for turbulence | |
| dc.type | text |