Random shearing direction models for isotropic turbulent diffusion

DOI10.1007/BF02186761zbMath0829.60074OpenAlexW2010004355MaRDI QIDQ1897051

Andrew J. Majda

Publication date: 9 November 1995

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02186761

zbMATH Keywords

renormalizationturbulent diffusionlong-range correlationsshear layers

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

Related Items (13)

Challenges in Climate Science and Contemporary Applied Mathematics ⋮ Random shearing direction models for isotropic turbulent diffusion ⋮ A Fourier-wavelet Monte Carlo method for fractal random fields ⋮ Randomized spectral and Fourier-wavelet methods for multidimensional Gaussian random vector fields ⋮ New perspectives on superparameterization for geophysical turbulence ⋮ Diffusing passive tracers in random incrompressible flows: statistical topography aspects ⋮ Random field sampling for a simplified model of melt-blowing considering turbulent velocity fluctuations ⋮ Inertial-range behavior of a passive scalar field in a random shear flow: Renormalization group analysis of a simple model ⋮ A Review of Some Monte Carlo Simulation Methods for Turbulent Systems ⋮ Efficient stochastic superparameterization for geophysical turbulence ⋮ Explicit inertial range renormalization theory in a model for turbulent diffusion ⋮ Stochastic Spectral and Fourier-Wavelet Methods for Vector Gaussian Random Fields ⋮ Pair dispersion over an inertial range spanning many decades

Cites Work

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• Inertial range scaling of laminar shear flow as a model of turbulent transport
• Mathematical models with exact renormalization for turbulent transport. II: Fractal interfaces, non-Gaussian statistics and the sweeping effect
• A wavelet Monte Carlo method for turbulent diffusion with many spatial scales
• Random shearing direction models for isotropic turbulent diffusion
• Explicit inertial range renormalization theory in a model for turbulent diffusion
• Theory of Solute Transport by Groundwater
• Simple examples with features of renormalization for turbulent transport
• Small-Scale Structure of a Scalar Field Convected by Turbulence
• Simulations of a randomly advected passive scalar field

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