Note on forced Burgers turbulence

Journal Article · Tue Nov 30 23:00:00 EST 1999 · Physics of Fluids (1994)

DOI:https://doi.org/10.1063/1.870235· OSTI ID:690709

Kraichnan, R H ^[1]

---

1. PMB 108, 369 Montezuma, Santa Fe, New Mexico 87501-2626 (United States)

A putative powerlaw range of the probability density of velocity gradient in high-Reynolds-number forced Burgers turbulence is studied. In the absence of information about shock locations, elementary conservation and stationarity relations imply that the exponent {minus}{alpha} in this range satisfies {alpha}{ge}3, if dissipation within the power-law range is due to isolated shocks. A generalized model of shock birth and growth implies {alpha}=7/2 if initial data and forcing are spatially homogeneous and obey Gaussian statistics. Arbitrary values {alpha}{ge}3 can be realized by suitably constructed homogeneous, non-Gaussian initial data and forcing. {copyright} {ital 1999 American Institute of Physics.}

• OSTI ID: 690709
• Journal Information: Physics of Fluids (1994), Journal Name: Physics of Fluids (1994) Journal Issue: 12 Vol. 11; ISSN PHFLE6; ISSN 1070-6631
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BURGERS VECTOR
PROBABILITY
REYNOLDS NUMBER
SHOCK WAVES
TURBULENCE
TURBULENT FLOW
VELOCITY