Another note on forced burgers turbulence

Research output: Contribution to journalArticle

Abstract

The power law range for the velocity gradient probability density function in forced Burgers turbulence has been an issue of intense discussion recently. It is shown in E and Vanden Eijnden, Phys. Rev. Lett. 83, 2572 (1999) that the negative exponent in the assumed power law range has to be strictly larger than 3. Here we give another direct argument for that result, working with finite viscosity. At the same time we discuss viscous corrections to the power law range. This should answer the questions raised in Kraichnan, Phys. Fluids 11, 3738 (1999) regarding the results of E and Vanden Eijnden, Phys. Rev. Lett. 83 2572 (1999). (C) 2000 American Institute of Physics.

Original languageEnglish (US)
Pages (from-to)149-154
Number of pages6
JournalPhysics of Fluids
Volume12
Issue number1
DOIs
StatePublished - 2000

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Probability density function
Turbulence
turbulence
Viscosity
Fluids
probability density functions
exponents
viscosity
gradients
fluids

ASJC Scopus subject areas

  • Mechanics of Materials
  • Computational Mechanics
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes
  • Condensed Matter Physics

Cite this

Another note on forced burgers turbulence. / E, Weinan; Vanden Eijnden, Eric.

In: Physics of Fluids, Vol. 12, No. 1, 2000, p. 149-154.

Research output: Contribution to journalArticle

E, Weinan ; Vanden Eijnden, Eric. / Another note on forced burgers turbulence. In: Physics of Fluids. 2000 ; Vol. 12, No. 1. pp. 149-154.
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