Diffusion of a passive scalar in two-dimensional turbulence

DOI10.1017/S0022112085002828zbMath0592.76071MaRDI QIDQ3722084

Jackson R. Herring, Marcel Lesieur

Publication date: 1985

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

spectral statisticsinfrared behaviourtwo-dimensional homogeneous isotropic turbulenceenstrophy spectrumcorrelation between scalar and vorticity fieldseddy-damped quasinormal Markovian theoryenstrophy-cascade rangefluctuations of a passive scalarforced flowsinertial-convective rangesinverse-energy-cascade rangenear-equivalent test-field modelpositive eddy diffusivityscalar-fluctuation varianceStatistically steady injection of energywavenumber characteristic of the energy-containing eddies

Mathematics Subject Classification ID

Isotropic turbulence; homogeneous turbulence (76F05) Basic methods in fluid mechanics (76M99)

Related Items (14)

Quasi-static magnetohydrodynamic turbulence at high Reynolds number ⋮ Two-dimensional gyrokinetic turbulence ⋮ Integral invariants of two-dimensional and quasigeostrophic shallow-water turbulence ⋮ Inverse energy cascade in a nearly two-dimensional turbulence ⋮ Turbulence theories and statistical closure approaches ⋮ Eddy damped quasinormal Markovian theory for chemically reactive scalars in isotropic turbulence ⋮ Critical behavior of vorticity in two-dimensional turbulence ⋮ Passive scalar transport in β-plane turbulence ⋮ The viscous-convective subrange in nonstationary turbulence ⋮ Derivation of the relative dispersion law in the inverse energy cascade of two-dimensional turbulence ⋮ Wave number space dynamics of enstrophy cascade in a forced two-dimensional turbulence ⋮ EDQNM model of a passive scalar with a uniform mean gradient ⋮ Understanding coherent vortices through computational fluid dynamics ⋮ A differential approximation model for passive scalar turbulence

Cites Work

• 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
• The structure of isotropic turbulence at very high Reynolds numbers
• Analytical theory of turbulent diffusion
• Numerical simulation of the inverse cascade in two-dimensional turbulence
• A consequence of the zero fourth cumulant approximation
• Statistical dynamics of two-dimensional flow
• Evolution of high Reynolds number two-dimensional turbulence
• Computation of the Energy Spectrum in Homogeneous Two-Dimensional Turbulence
• An almost-Markovian Galilean-invariant turbulence model
• On the Spectrum of Isotropic Temperature Fluctuations in an Isotropic Turbulence

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