Scaling laws in the vortex lattice model of turbulence
type: Item
instance of: scholarly article
title: Scaling laws in the vortex lattice model of turbulence
zbMATH Open document ID: 0638.76072
DOI: 10.1007/BF01218294
author: Alexandre J. Chorin
published in: Communications in Mathematical Physics
publication date: 1988-01-01T00:00:00Z
review text: The lattice vortex model of the inertial range in turbulence theory is reviewed; the model consists of an array of vortex tubes whose axes coincide with the bonds on a regular lattice, subject to random stretching and successive scaling, and constrained by conservation laws for energy, specific volume, circulation, helicity, and an energy/vorticity relation. The scaling laws for vorticity are examined in detail, a Hausdorff dimension for the ``active'' portion of the vortex array is calculated, the origin of intermittency is exhibited, and it is pointed out that the Kolmogorov -5/3 power law already accounts for intermittency effects.
Mathematics Subject Classification ID: 76F99
Mathematics Subject Classification ID: 82B40
zbMATH DE Number: 4041489
zbMATH Keywords: lattice vortex model of the inertial range
zbMATH Keywords: turbulence theory
zbMATH Keywords: array of vortex tubes
zbMATH Keywords: regular lattice
zbMATH Keywords: random stretching
zbMATH Keywords: successive scaling
zbMATH Keywords: conservation laws
zbMATH Keywords: Hausdorff dimension
MaRDI profile type: Publication
cites work: Q3745470
cites work: A numerical study of superfluid turbulence in the self-induction approximation
cites work: The evolution of a turbulent vortex
cites work: Turbulence and vortex stretching on a lattice
cites work: A simple dynamical model of intermittent fully developed turbulence
cites work: An almost-Markovian Galilean-invariant turbulence model
cites work: The degree of knottedness of tangled vortex lines
cites work: Heat transfer in turbulent fluids. I. Pipe flow
description: scientific article; zbMATH DE number 4041489