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Short term unpredictability of high Reynolds number turbulence --- rough dependence on initial data

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arxiv 1702.02993 v2 pith:AH6W7XOX submitted 2017-02-09 physics.flu-dyn math.APnlin.CDphysics.ao-ph

Z. C. Feng , Y. Charles Li This is my paper · ORCID
classification physics.flu-dynmath.APnlin.CDphysics.ao-ph
keywords shorttermunpredictabilitydiscoveredhighnumberreynoldsturbulence
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Short term unpredictability is discovered numerically for high Reynolds number fluid flows under periodic boundary conditions. Furthermore, the abundance of the short term unpredictability is also discovered. These discoveries support our theory that fully developed turbulence is constantly driven by such short term unpredictability.

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  1. Superfast amplification and superfast nonlinear saturation of perturbations as the mechanism of turbulence

    physics.flu-dyn 2019-08 conditional novelty 4.0 of 10

    New DNS up to 2048^3 grid points reportedly confirm that perturbations in fully developed turbulence amplify as e^{c sqrt(Re) sqrt(t)}, which is faster than exponential, and saturate quickly.

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