Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-18T21:56:48.381Z Has data issue: false hasContentIssue false
  • English
  • Français

Evolution of Burgers' turbulence in the presence of external forces

Published online by Cambridge University Press:  21 May 2009

A. I. SAICHEV  and
W. A. WOYCZYNSKI
A. I. SAICHEV
Affiliation:
Radio Physics Department, Nizhni Novgorod University, Nizhni Novgorod, Russia
W. A. WOYCZYNSKI
Affiliation:
Department of Statistics, and Center for Stochastic and Chaotic Processes in Science and Technology, Case Western Reserve University, Cleveland, OH 44106, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

Statistical properties of multidimensional Burgers' turbulence evolving in the presence of a force field with random potential, which is delta-correlated in time and smooth in space, are studied in the inviscid limit and at the physical level of rigorousness. The solution algorithm reduces to finding multistream fields describing the motion of an auxiliary gas of interacting particles in a force field. Consequently, the statistical description of forced Burgers' turbulence is obtained by finding the largest possible value of the least action for the auxiliary gas. The exponential growth of the number of streams is found to be a necessary condition for the existence of stationary regimes.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 331 , 25 January 1997 , pp. 313 - 343
Copyright
© 1997 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)