Non-Gaussian distribution in Random advection dynamics
Y-h. Taguchi, Hideki Takayasu
TL;DR
This paper investigates how non-Gaussian turbulent fluctuations arise from random advection effects, supported by simulations, a simplified model, and an analytical solution.
Contribution
It introduces a simplified statistical model of random advection and provides an analytical solution in the mean-field case to explain non-Gaussian turbulence.
Findings
Non-Gaussian distributions are observed in vortex tube simulations.
A simplified statistical model reproduces non-Gaussian behavior.
An analytical mean-field solution explains the origin of non-Gaussian fluctuations.
Abstract
Simulations of vortex tube dynamics reveal that the non-Gaussian nature of turbulent fluctuation originates in the effect of random advection. A similar non-Gaussian distribution is found numerically in a simplified statistical model of random advection. An analytical solution is obtained in the mean-field case.
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Taxonomy
TopicsFluid Dynamics and Turbulent Flows · Meteorological Phenomena and Simulations · Particle Dynamics in Fluid Flows