Shiyi Chen, Robert H. Kraichnan
Journal of Plasma Physics
We argue on the basis of empirical data that Kolmogorov's refined similarity hypothesis (RSH) needs to be modified for transverse velocity increments, and propose an alternative. In this new form, transverse velocity increments bear the same relation to locally averaged enstrophy (squared vorticity) as longitudinal velocity increments bear in RSH to locally averaged dissipation. We support this hypothesis by analyzing high-resolution numerical simulation data for isotropic turbulence. RSH and its proposed modification for transverse velocity increments appear to represent two independent scaling groups. © 1997 The American Physical Society.
Shiyi Chen, Robert H. Kraichnan
Journal of Plasma Physics
Yanan Wu, Hana Skrdla, et al.
Physica A: Statistical Mechanics and its Applications
Nianzheng Cao, Shiyi Chen, et al.
Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Shiyi Chen, Nianzheng Cao
Physical Review E