Fractional and fractal derivatives modeling of turbulence
| dc.creator | Chen, Wen | |
| dc.date | 2005-11-30 | |
| dc.date.accessioned | 2026-07-07T06:52:03Z | |
| dc.date.available | 2026-07-07T06:52:03Z | |
| dc.description | This study makes the first attempt to use the 2/3-order fractional Laplacian modeling of enhanced diffusing movements of random turbulent particle resulting from nonlinear inertial interactions. A combined effect of the inertial interactions and the molecule Brownian diffusivities is found to be the bi-fractal mechanism behind multifractal scaling in the inertial range of scales of moderate Reynolds number turbulence. Accordingly, a stochastic equation is proposed to describe turbulence intermittency. The 2/3-order fractional Laplacian representation is also used to construct a fractional Reynolds equation for nonlinear interactions of fluctuating velocity components, underlying turbulence spacetime fractal structures of Levy 2/3 stable distribution. The new perspective of this study is that the fractional calculus is an effective approach modeling of chaotic fractal phenomena induced by nonlinear interactions. | |
| dc.description | Welcom any comments to wenc66@yahoo.com | |
| dc.identifier | https://arxiv.org/abs/nlin/0511066 | |
| dc.identifier | http://arxiv.org/abs/nlin/0511066 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/105183 | |
| dc.subject | Chaotic Dynamics | |
| dc.subject | Adaptation and Self-Organizing Systems | |
| dc.title | Fractional and fractal derivatives modeling of turbulence | |
| dc.type | text |