Elementary models for turbulent diffusion with complex physical features: eddy diffusivity, spectrum and intermittency

DOI10.1098/rsta.2012.0184zbMath1353.76034OpenAlexW2323974643WikidataQ30578628 ScholiaQ30578628MaRDI QIDQ2955459

Andrew J. Majda, Boris Gershgorin

Publication date: 13 January 2017

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rsta.2012.0184

Mathematics Subject Classification ID

Statistical turbulence modeling (76F55) Experimental work for problems pertaining to fluid mechanics (76-05) Meteorology and atmospheric physics (86A10)

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Cites Work

• Filtering a statistically exactly solvable test model for turbulent tracers from partial observations
• Mathematical models with exact renormalization for turbulent transport
• Mathematical strategies for filtering turbulent dynamical systems
• Test models for improving filtering with model errors through stochastic parameter estimation
• Mathematical models with exact renormalization for turbulent transport. II: Fractal interfaces, non-Gaussian statistics and the sweeping effect
• The problem of moments and the Majda model for scalar intermittency
• A test model for fluctuation-dissipation theorems with time-periodic statistics
• Rigorous estimates of the tails of the probability distribution function for the random linear shear model.
• Explicit inertial range renormalization theory in a model for turbulent diffusion
• Elementary models with probability distribution function intermittency for passive scalars with a mean gradient
• The random uniform shear layer: An explicit example of turbulent diffusion with broad tail probability distributions
• Simple examples with features of renormalization for turbulent transport
• The passive scalar spectrum and the Obukhov–Corrsin constant
• An explicit example with non-Gaussian probability distribution for nontrivial scalar mean and fluctuation
• An elementary model for the validation of flamelet approximations in non-premixed turbulent combustion
• Turbulent Combustion
• Renormalization-Group Analysis of Turbulence
• Non-Gaussian invariant measures for the Majda model of decaying turbulent transport
• Small-Scale Structure of a Scalar Field Convected by Turbulence
• Conditional statistics for a passive scalar with a mean gradient and intermittency