On the inertial subrange of symmetry-preserving regularization models for turbulent flow

Roel Verstappen

On the inertial subrange of symmetry-preserving regularization models for turbulent flow

Roel Verstappen

Computational and Numerical Mathematics

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Abstract

The existence of the inertial subrange for the (incompressible) Navier-Stokes equations has been proven. 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.

Original language	English
Title of host publication	EPRINTS-BOOK-TITLE
Publisher	University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science
Number of pages	2
Publication status	Published - 2007

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title = "On the inertial subrange of symmetry-preserving regularization models for turbulent flow",

abstract = "The existence of the inertial subrange for the (incompressible) Navier-Stokes equations has been proven. 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{\textquoteright}s -5/3 spectrum.",

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AB - The existence of the inertial subrange for the (incompressible) Navier-Stokes equations has been proven. 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.

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PB - University of Groningen, Johann Bernoulli Institute for Mathematics and Computer Science

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On the inertial subrange of symmetry-preserving regularization models for turbulent flow

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