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On the inertial subrange of symmetry‐preserving regularization models for turbulent flow
Author(s) -
Verstappen Roel
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700482
Subject(s) - regularization (linguistics) , inertial frame of reference , compressibility , nonlinear system , turbulence , navier–stokes equations , skew , mathematics , mathematical analysis , physics , symmetry (geometry) , flow (mathematics) , classical mechanics , computer science , mechanics , geometry , quantum mechanics , astronomy , artificial intelligence
Abstract Foias et al. [1] have proven the existence of the inertial subrange for the (incompressible) Navier‐Stokes equations. In this paper, we proof the same result for any skew‐symmetric regularization of the nonlinearity in the Navier‐Stokes equations. A simple dimensional analysis gives then Kolmogorov's ‐5/3 spectrum. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)