On the large time asymptotics of decaying burgers turbulence

被引:25
作者
Tribe, R [1 ]
Zaboronski, O [1 ]
机构
[1] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England
关键词
D O I
10.1007/s002200000214
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The decay of Burgers turbulence with compactly supported Gaussian "white noise" initial conditions is studied in the limit of vanishing viscosity and large time. Probability distribution functions and moments for both velocities and velocity differences are computed exactly, together with the "time-like" structure functions T-n(t, tau) = [(u(t + tau) - u(t))(n)]. The analysis of the answers reveals both well known features of Burgers turbulence, such as the presence of dissipative anomaly, the extreme anomalous scaling of the velocity structure functions and self similarity of the statistics of the velocity field, and new features such as the extreme anomalous scaling of the "time-like" structure functions and the non-existence of a global inertial scale due to multiscaling of the Burgers velocity field. We also observe that all the results can be recovered using the one point probability distribution function of the shock strength and discuss the implications of this fact for Burgers turbulence in general.
引用
收藏
页码:415 / 436
页数:22
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