Analysis of the \(\varepsilon\)-expansion in turbulence theory: Approximate renormalization group for diffusion of a passive scalar in a random velocity field

DOI10.1023/A:1023228619798zbMath0982.76051OpenAlexW1643334103MaRDI QIDQ1976052

Publication date: 8 April 2002

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023228619798

zbMATH Keywords

renormalization group perturbation series random velocity field epsilon-expansion diffusion of passive scalar compensation of high-order interactions generalized Wilson rule

Mathematics Subject Classification ID

Statistical turbulence modeling (76F55) Renormalization and other field-theoretical methods for turbulence (76F30)

Related Items (6)

Study of the higher-order asymptotic behavior of quantum field expansions in the theory of two-dimensional fully developed turbulence ⋮ Exact renormalization group analysis of turbulent transport by the shear flow ⋮ Mathematical models with exact renormalization for turbulent transport ⋮ The renormalization group, the \(\epsilon\)-expansion and derivation of turbulence models ⋮ Family of instantons of the Kraichnan model with a frozen velocity field ⋮ An integral representation and bounds on the effective diffusivity in passive advection by laminar and turbulent flows

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