Dynamical Origins for Non-Gaussian Vorticity Distributions in Turbulent Flows

Abstract

We present results on the connection between the vorticity equation and the shape of the single-point vorticity PDF. The statistical framework for these observations is cast in form of conditional averages. The numerical evaluation of these conditional averages provides insights into the intimate relation of dynamical effects like vortex stretching and vorticity diffusion and non-Gaussian vorticity statistics.

References in corpus (2)

• Computing Nearly Singular Solutions Using Pseudo-Spectral Methods
• Multi-scale model of gradient evolution in turbulent flows

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• Conditional vorticity budget of coherent and incoherent flow contributions in fully developed homogeneous isotropic turbulence
• Theory for the single-point velocity statistics of fully developed turbulence
• Two-Point Vorticity Statistics in the Inverse Turbulent Cascade
• Generalized vortex-model for the inverse cascade of two-dimensional turbulence
• Demonstration of the rotational viscosity transfer across scales in Navier-Stokes turbulence
• Guided Unconditional and Conditional Generative Models for Super-Resolution and Inference of Quasi-Geostrophic Turbulence
• Band-Limited Equivalence of Convolution Operators and its Application to Filtered Vorticity Dynamics