A Statistical Mechanical Model for Two Dimensional Turbulence
Abstract
A statistical mechanical model for two dimensional homogeneous isotropic turbulence is proposed. This model is based on a hypothesis that the extremely high Reynolds number two dimensional turbulence is, at each instant, in a state of equal probability on the intersections of energy and palinstrophy planes in the phase space. An energy spectrum is obtained which shows the k-3 dependence for large wave numbers and represents the energy equipartition state for small wave numbers.
- Publication:
-
Journal of the Physical Society of Japan
- Pub Date:
- November 1982
- DOI:
- 10.1143/JPSJ.51.3415
- Bibcode:
- 1982JPSJ...51.3415F
- Keywords:
-
- High Reynolds Number;
- Homogeneous Turbulence;
- Isotropic Turbulence;
- Statistical Mechanics;
- Turbulence Models;
- Turbulent Flow;
- Two Dimensional Flow;
- Energy Spectra;
- Equipartition Theorem;
- Heuristic Methods;
- Fluid Mechanics and Heat Transfer