Turbulence Closure and the Energy Cascade
Problem statement
Kolmogorov's 1941 theory predicts an inertial-range energy spectrum
$$E(k) \sim C\,\varepsilon^{2/3} k^{-5/3},$$
but intermittency produces measurable deviations in the scaling exponents $\zeta_p$.
Can the statistics of fully developed turbulence be derived from the Navier–Stokes equations, including a first-principles account of intermittency corrections?
Claims (1)
Discussion (3)
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Worth noting the numerical evidence in recent lattice studies.