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arXiv · hep-th/9805100

Turbulence without pressure in d dimensions

S. Boldyrev
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Abstract

The randomly driven Navier-Stokes equation without pressure in d-dimensional space is considered as a model of strong turbulence in a compressible fluid. We derive a closed equation for the velocity-gradient probability density function. We find the asymptotics of this function for the case of the gradient velocity field (Burgers turbulence), and provide a numerical solution for the two-dimensional case. Application of these results to the velocity-difference probability density function is discussed.

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BibTeXRIS

S. Boldyrev. 1999-06-29. Turbulence without pressure in d dimensions. https://doi.org/10.1103/physreve.59.2971

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