The Batchelor-Howells-Townsend spectrum: three-dimensional case

DOI10.1016/j.physd.2022.133615OpenAlexW4311319109MaRDI QIDQ2683568

Michael S. Jolly, Djoko Wirosoetisno

Publication date: 14 February 2023

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.04600

zbMATH Keywords

Sobolev normpassive tracerrandom velocity fieldlarge-wavenumber asymptotic scalingvariance upper bound

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Statistical turbulence modeling (76F55) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Turbulent transport, mixing (76F25)

Cites Work

• The mixing efficiency of open flows
• A shell model for optimal mixing
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• Energy spectra of stably stratified turbulence
• Small-scale variation of convected quantities like temperature in turbulent fluid Part 1. General discussion and the case of small conductivity
• Small-scale variation of convected quantities like temperature in turbulent fluid Part 2. The case of large conductivity
• Approach of axisymmetric turbulence to isotropy
• Statistics of an advected passive scalar
• Passive Scalars in Turbulent Flows
• Diffusion-limited mixing by incompressible flows
• A bound on mixing efficiency for the advection–diffusion equation
• Turbulent mixing of a passive scalar
• The Batchelor Spectrum of Passive Scalar Turbulence in Stochastic Fluid Mechanics at Fixed Reynolds Number
• Turbulent mixing: A perspective
• Spectrum of passive scalars of high molecular diffusivity in turbulent mixing
• Small-Scale Structure of a Scalar Field Convected by Turbulence
• On the Spectrum of Isotropic Temperature Fluctuations in an Isotropic Turbulence

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