Fractal derivative multi-scale model of fluid particle transverse accelerations in fully developed turbulence

DOI10.1007/s11431-009-0050-3zbMath1386.76090OpenAlexW2074844941MaRDI QIDQ1045333

Wen Chen, Hong-Guang Sun

Publication date: 15 December 2009

Published in: Science in China. Series E (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11431-009-0050-3

zbMATH Keywords

anomalous diffusionprobability density function (PDF)fractal derivativefully developed homogeneous turbulencepower-stretched Gaussian distribution (PSGD)

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Statistical turbulence modeling (76F55) Fractional partial differential equations (35R11)

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Cites Work

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• Superstatistics in hydrodynamic turbulence
• Defect turbulence and generalized statistical mechanics
• Multifractal analysis of fluid particle accelerations in turbulence
• Experimental Lagrangian acceleration probability density function measurement
• Multi-scale percolation and scaling laws for anisotropic turbulent diffusion
• Time-space fabric underlying anomalous diffusion
• A speculative study of 2∕3-order fractional Laplacian modeling of turbulence: Some thoughts and conjectures
• Multi-scale equations for incompressible turbulent flows
• On the small-scale statistics of Lagrangian turbulence

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