Turbulence without pressure in {ital d} dimensions

Journal Article · Sun Feb 28 23:00:00 EST 1999 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.59.2971· OSTI ID:321967

Boldyrev, S A ^[1]

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1. Princeton University, P.O. Box 451, Princeton, New Jersey 08543 (United States)

The randomly driven Navier-Stokes equation without pressure in {ital 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. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 321967
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 3 Vol. 59; ISSN PLEEE8; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COMPRESSIBLE FLOW
DISTRIBUTION FUNCTIONS
NAVIER-STOKES EQUATIONS
NUMERICAL SOLUTION
TURBULENCE
TURBULENT FLOW
VELOCITY