Abstract
Kolmogorov’s similarity turbulence theory in a Lagrangian frame is assessed with new direct numerical simulations of isotropic turbulence with and without hyperviscosity, which attain higher Reynolds numbers than previously available. It is demonstrated that hyperviscous simulations can be used to accurately predict the second order Lagrangian velocity structure function (LVSF-2) in the inertial range, by using an original new procedure. The results strongly support Kolmogorov’s Lagrangian similarity assumption and allow the universal constant of LVSF-2 to be computed with a new level of confidence with C0=7.4±0.2.
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