Statistics of decaying Burgers turbulence

DOI10.1063/1.858868zbMath0767.76024OpenAlexW2022623867MaRDI QIDQ4696357

Toshiyuki Gotoh, Robert H. Kraichnan

Publication date: 29 June 1993

Published in: Physics of Fluids A: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.858868

zbMATH Keywords

numerical simulationsmapping closuresingle-point probability distribution function

Mathematics Subject Classification ID

Stochastic analysis applied to problems in fluid mechanics (76M35) Turbulence (76F99)

Related Items (16)

Transient growth in stochastic Burgers flows ⋮ Statistics of an advected passive scalar ⋮ Analysis of low-pass filters for approximate deconvolution closure modelling in one-dimensional decaying Burgers turbulence ⋮ Explicit and implicit LES closures for Burgers turbulence ⋮ Lie algebra of coupled higher-dimensional forced Burgers' equation ⋮ Inertial range statistics of Burgers turbulence ⋮ On the statistical solution of the Riemann equation and its implications for Burgers turbulence ⋮ Application of mapping closure to non-Gaussian velocity fields ⋮ Turbulence theories and statistical closure approaches ⋮ Phase space reduction and the instanton crossover in (1+1)-dimensional turbulence ⋮ Velocity field statistics in homogeneous steady turbulence obtained using a high-resolution direct numerical simulation ⋮ Statistics of turbulence in a generalized random-force-driven Burgers equation ⋮ PDFs for velocity and velocity gradients in Burgers’ turbulence ⋮ The mapping closure approximation to the conditional dissipation rate for turbulent scalar mixing ⋮ Hausdorff dimension of regular points in stochastic Burgers flows with Lévy \(\alpha\)-stable initial data ⋮ Singularity formation in the deterministic and stochastic fractional Burgers equation

Cites Work

• Mapping closures for turbulent mixing and reaction
• A mapping closure for multispecies Fickian diffusion
• An analytical solution for the scalar probability density function in homogeneous turbulence
• Monte Carlo implementation and analytic solution of an inert-scalar turbulent-mixing test problem using a mapping closure
• Mapping closure and non-Gaussianity of the scalar probability density functions in isotropic turbulence
• Models of intermittency in hydrodynamic turbulence
• Lagrangian-History Statistical Theory for Burgers' Equation

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