Kicked Burgers turbulence
Abstract
Burgers turbulence subject to a force f(x, t) = [sum L: summation operator]jfj(x)[delta](t [minus sign] t_{j}), where t_{j} are 'kicking times' and the 'impulses' f_{j}(x) have arbitrary space dependence, combines features of the purely decaying and the continuously forced cases. With largescale forcing this ‘kicked’ Burgers turbulence presents many of the regimes proposed by E et al. (1997) for the case of random whitenoiseintime forcing. It is also amenable to efficient numerical simulations in the inviscid limit, using a modification of the fast Legendre transform method developed for decaying Burgers turbulence by Noullez & Vergassola (1994). For the kicked case, concepts such as ‘minimizers’ and ‘main shock’, which play crucial roles in recent developments for forced Burgers turbulence, become elementary since everything can be constructed from simple twodimensional areapreserving Euler Lagrange maps.
 Publication:

Journal of Fluid Mechanics
 Pub Date:
 August 2000
 DOI:
 10.1017/S0022112000001051
 arXiv:
 arXiv:chaodyn/9910001
 Bibcode:
 2000JFM...416..239B
 Keywords:

 Nonlinear Sciences  Chaotic Dynamics;
 Condensed Matter
 EPrint:
 LATEX 30 pages, 11 figures, J. Fluid Mech, in press