Lian-Ping Wang, Shiyi Chen, et al.
Journal of Fluid Mechanics
A recent ansatz for dissipation terms gave anomalous inertial-range scaling exponents (n1/2,n→) for the nth-order structure functions of a passive scalar field advected by a random velocity field. Analysis of a series expansion for the conditional mean of a dissipation term suggests that the ansatz gives the only possible anomalous scaling. Anomaly of inertial-range scaling is supported by realizability inequalities on the dissipation field. Predictions for conditional means and structure functions are compared with simulations. © 1995 The American Physical Society.
Lian-Ping Wang, Shiyi Chen, et al.
Journal of Fluid Mechanics
Takeshi Seta, Koji Kono, et al.
JSME International Journal, Series B: Fluids and Thermal Engineering
Turab Lookman, Yanan Wu, et al.
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
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Physical Review Letters