Statistical Properties of Turbulence: An Overview
Rahul Pandit, Prasad Perlekar, and Samriddhi Sankar Ray
TL;DR
This paper provides an introductory overview of the complex statistical properties of turbulence across various fluid dynamics scenarios, highlighting key challenges and examples from different turbulence models.
Contribution
It offers a comprehensive summary of the main problems in statistical turbulence, including diverse cases like passive scalars, Burgers turbulence, and polymer-enhanced turbulence.
Findings
Identifies key challenges in turbulence statistics
Highlights differences between 2D and 3D turbulence
Discusses turbulence with polymer additives
Abstract
We present an introductory overview of several challenging problems in the statistical characterisation of turbulence. We provide examples from fluid turbulence in three and two dimensions, from the turbulent advection of passive scalars, turbulence in the one-dimensional Burgers equation, and fluid turbulence in the presence of polymer additives.
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