Statistical properties of a turbulent cascade

DOI10.1016/S0167-2789(96)00235-7zbMath0897.76042MaRDI QIDQ675945

Joachim Peinke, Rudolf Friedrich

Publication date: 12 March 1997

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

Fokker-Planck equationdiffusion coefficientdrift coefficientChapman-Kolmogorov equationconditional probability distributionKramers-Moyal coefficientsjoint probability distribution

Mathematics Subject Classification ID

Turbulence (76F99)

Related Items (13)

On universal features of the turbulent cascade in terms of non-equilibrium thermodynamics ⋮ MINIMIZING STOCHASTICITY IN THE NAO INDEX ⋮ Quantitative methods for the characterization of complex surface structures ⋮ A Langevin equation for the energy cascade in fully developed turbulence ⋮ Towards a stochastic multi-point description of turbulence ⋮ Analysis of data sets of stochastic systems ⋮ Maximum likelihood estimators for generalized Cauchy processes ⋮ Robust identification of harmonic oscillator parameters using the adjoint Fokker–Planck equation ⋮ Estimating Kramers-Moyal coefficients in short and non-stationary data sets ⋮ Evidence of Markov properties of high frequency exchange rate data ⋮ Bivariate time-periodic Fokker-Planck model for freeway traffic ⋮ The Markovian metamorphosis of a simple turbulent cascade model ⋮ Solution of the Fokker–Planck equation in a wind turbine array boundary layer

Cites Work

• The Fokker-Planck equation. Methods of solution and applications
• Velocity probability density functions of high Reynolds number turbulence
• From global scaling, à la Kolmogorov, to local multifractal scaling in fully developed turbulence
• Stationary probability density functions: An exact result
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