The results of numerical simulations of random-force-driven Navier-Stokes turbulence designed to test predictions of the renormalization group theory of turbulence are presented. By specially choosing the random force, we generate fully developed turbulence with a relatively long inertial range. The results of these simulations provide direct numerical verification of the correspondence principle [V. Yakhot and S.A. Orszag,Phys. Rev. Lett. 57, 1722 (1986)] and agree with the theoretical predictions based on the ɛ-expansion to about 2%–5%.
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Yakhot, V., Orszag, S.A. & Panda, R. Computational test of the renormalization group theory of turbulence. J Sci Comput 3, 139–147 (1988). https://doi.org/10.1007/BF01061254
- renormalization group
- numerical simulation