Velocity and velocity-difference distributions in burgers turbulence

Stanislav Boldyrev; Timur Linde; Alexandre Polyakov

doi:10.1103/PhysRevLett.93.184503

Velocity and velocity-difference distributions in burgers turbulence

Stanislav Boldyrev, Timur Linde, Alexandre Polyakov

Physics

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

The study of velocity and velocity-difference distributions in Burger turbulence was presented. The one-dimensional Burgers equation randomly stirred at large scales by a Gaussian short-time correlated force was considered. The velocity and velocity-difference probability density functions (PDF) were obtained using the method of dissipative anomalies. It was demonstrated that the method of dissipative anomalies can be generated for turbulence with pressure and can be applicable in more than one dimension.

Original language	English (US)
Article number	184503
Pages (from-to)	184503-1-184503-4
Journal	Physical review letters
Volume	93
Issue number	18
DOIs	https://doi.org/10.1103/PhysRevLett.93.184503
State	Published - Oct 29 2004

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1103/PhysRevLett.93.184503

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title = "Velocity and velocity-difference distributions in burgers turbulence",

abstract = "The study of velocity and velocity-difference distributions in Burger turbulence was presented. The one-dimensional Burgers equation randomly stirred at large scales by a Gaussian short-time correlated force was considered. The velocity and velocity-difference probability density functions (PDF) were obtained using the method of dissipative anomalies. It was demonstrated that the method of dissipative anomalies can be generated for turbulence with pressure and can be applicable in more than one dimension.",

author = "Stanislav Boldyrev and Timur Linde and Alexandre Polyakov",

note = "Funding Information: We thank Victor Yakhot for important discussions. The work of S. B. and T. L. was supported by the NSF Center for magnetic self-organization in laboratory and astrophysical plasmas at the University of Chicago. The research of A. P. was supported in part by the NSF Grants No. PHY-9802484 and No. PHY-0243680.",

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AU - Linde, Timur

AU - Polyakov, Alexandre

N1 - Funding Information: We thank Victor Yakhot for important discussions. The work of S. B. and T. L. was supported by the NSF Center for magnetic self-organization in laboratory and astrophysical plasmas at the University of Chicago. The research of A. P. was supported in part by the NSF Grants No. PHY-9802484 and No. PHY-0243680.

PY - 2004/10/29

Y1 - 2004/10/29

N2 - The study of velocity and velocity-difference distributions in Burger turbulence was presented. The one-dimensional Burgers equation randomly stirred at large scales by a Gaussian short-time correlated force was considered. The velocity and velocity-difference probability density functions (PDF) were obtained using the method of dissipative anomalies. It was demonstrated that the method of dissipative anomalies can be generated for turbulence with pressure and can be applicable in more than one dimension.

AB - The study of velocity and velocity-difference distributions in Burger turbulence was presented. The one-dimensional Burgers equation randomly stirred at large scales by a Gaussian short-time correlated force was considered. The velocity and velocity-difference probability density functions (PDF) were obtained using the method of dissipative anomalies. It was demonstrated that the method of dissipative anomalies can be generated for turbulence with pressure and can be applicable in more than one dimension.

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Velocity and velocity-difference distributions in burgers turbulence

Abstract

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