Physics – Fluid Dynamics
Scientific paper
2011-09-30
Phys. Rev. E 85, 036315 (2012)
Physics
Fluid Dynamics
9 pages, 8 figures, updated to match the published version
Scientific paper
10.1103/PhysRevE.85.036315
In two-dimensional forced Navier-Stokes turbulence, energy cascades to the largest scales in the system to form a pair of coherent vortices known as the Bose condensate. We show, both numerically and analytically, that the energy condensation saturates and the system reaches a statistically stationary state. The time scale of saturation is inversely proportional to the viscosity and the saturation energy level is determined by both the viscosity and the force. We further show that, without sufficient resolution to resolve the small-scale enstrophy spectrum, numerical simulations can give a spurious result for the saturation energy level. We also find that the movement of the condensate is similar to the motion of an inertial particle with an effective drag force. Furthermore, we show that the profile of the saturated coherent vortices can be described by a Gaussian core with exponential wings.
Brandenburg Axel
Chan Chi-kwan
Mitra Dhrubaditya
No associations
LandOfFree
Dynamics of Saturated Energy Condensation in Two-Dimensional Turbulence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Dynamics of Saturated Energy Condensation in Two-Dimensional Turbulence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Dynamics of Saturated Energy Condensation in Two-Dimensional Turbulence will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-670175