Turbulence Intermittency & Multifractal Cascade

Energy cascades from large to small eddies via multiplicative random processes. The She-Leveque model gives anomalous scaling exponents ζ_p = p/9 + 2[1−(2/3)^(p/3)], departing from K41's ζ_p = p/3 due to intermittent filaments.

Parameters

Intermittency μ: 0.25 Cascade levels: 8 Branching W: 2 Speed: 1.0

K41: ζ_p = p/3 (Kolmogorov 1941)
She-Leveque: ζ_p = p/9 + 2[1−(2/3)^(p/3)]
4/5 law: ⟨(δu)³⟩ = −⁴⁄₅εℓ (exact)