Velocity and Velocity-Difference Distributions in Burgers Turbulence
Abstract
We consider the one-dimensional Burgers equation randomly stirred at large scales by a Gaussian short-time correlated force. Using the method of dissipative anomalies, we obtain velocity and velocity-difference probability density functions and confirm the results with high-resolution numerical simulations.
- Publication:
-
Physical Review Letters
- Pub Date:
- October 2004
- DOI:
- 10.1103/PhysRevLett.93.184503
- arXiv:
- arXiv:nlin/0305014
- Bibcode:
- 2004PhRvL..93r4503B
- Keywords:
-
- 47.27.-i;
- 47.40.-x;
- 52.35.Tc;
- Turbulent flows;
- Compressible flows;
- shock waves;
- Shock waves and discontinuities;
- Nonlinear Sciences - Chaotic Dynamics;
- Astrophysics;
- Condensed Matter;
- High Energy Physics - Theory;
- Physics - Fluid Dynamics
- E-Print:
- 4 pages, 3 figures, improved numerics, matches the published version