Longitudinal velocity difference moments in shear turbulence exhibit scaling exponent saturation at ζ_n ≈ 2.2 ± 0.1 for n ≳ 12, providing first experimental support for vortex filament dominance at high orders.
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Turbulent dissipation is modeled as a spatio-temporal Gaussian Multiplicative Chaos and tested against Navier-Stokes simulations.
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Experimental Evidence for Longitudinal Scaling Exponent Saturation in Shear Turbulence
Longitudinal velocity difference moments in shear turbulence exhibit scaling exponent saturation at ζ_n ≈ 2.2 ± 0.1 for n ≳ 12, providing first experimental support for vortex filament dominance at high orders.
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The spatio-temporal statistical structure of the turbulent dissipation field and its stochastic representation as a Gaussian Multiplicative Chaos
Turbulent dissipation is modeled as a spatio-temporal Gaussian Multiplicative Chaos and tested against Navier-Stokes simulations.