Abstract
Recently, Smith and Reynolds [Phys. Fluids A 3, 992 (1991)] suggested that the turbulent energy spectrum with exponential decaying form E(k)=CKε2/3k−5/3 exp(−σk) (CK is Kolmogorov constant, ε is the energy dissipation rate, and σ is some constant) may be a poor model, because it does not give velocity derivative skewness in good agreement with experimental value. On the other hand, some direct numerical simulations of the Navier–Stokes equation demonstrate the above exponential form in the dissipation range. This disagreement is resolved by considering a model spectrum based on direct numerical simulation.
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