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.
Short term unpredictability of high Reynolds number turbulence --- rough dependence on initial data
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abstract
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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physics.flu-dyn 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
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Superfast amplification and superfast nonlinear saturation of perturbations as the mechanism of turbulence
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.