Zeitschrift für Physik B Condensed Matter

, Volume 100, Issue 3, pp 461–468 | Cite as

On a Fourier space master equation for Navier-Stokes turbulence

  • Heinz-Peter Breuer
  • Francesco Petruccione
  • Frithjof Weber
Article

Abstract

Three-dimensional homogeneous isotropic turbulence is formulated in terms of a discrete stochastic process in Fourier space. The time-dependent joint probability distribution of the stochastic Fourier modes is governed by a multivariate master equation. It is demonstrated that the characteristic functional of the stochastic process obeys the Hopf functional equation. As a first application of the method stochastic simulations of the Burgers's turbulence model are performed and shown to yield the expected energy spectrum.

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Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • Heinz-Peter Breuer
    • 1
  • Francesco Petruccione
    • 1
  • Frithjof Weber
    • 1
  1. 1.Fakultät für PhysikAlbert-Ludwigs-Universität FreiburgFreiburgGermany

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