Velocity-difference probability density functions for Burgers turbulence
نویسندگان
چکیده
منابع مشابه
Kolmogorov turbulence in a random-force-driven Burgers equation: Anomalous scaling and probability density functions.
High-resolution numerical experiments, described in this work, show that velocity fluctuations governed by the one-dimensional Burgers equation driven by a white-intime random noise with the spectrum |f(k)| ∝ k exhibit a biscaling behavior: All moments of velocity differences Sn≤3(r) = |u(x+ r)− u(x)| n ≡ |∆u| ∝ rn/3, while Sn>3(r) ∝ r ξn with ξn ≈ 1 for real n > 0 (Chekhlov and Yakhot, Phys. R...
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The dynamics of velocity fluctuations governed by the Burgers equation, driven by the white-in-time random forcing function with f fsx 1 r , td 2 fsx, t0dg2 ~ rdst 2 t0d is considered on the interval 0 , x , L. The properties of the probability density function of velocity differences PsDu, rd are investigated for the three cases j h0; 1y2; 2j. It is shown that the tail of the probability den...
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Probability density functions (pdfs) are employed to evaluate the distribution of velocities in the global ocean. This study computes pdfs of ocean surface velocity using altimetric data from the TOPEX/Poseidon satellite. Results show that the shape of the observed pdfs changes with the size of the domain over which they are calculated: if data are drawn from a small region of the ocean, the pd...
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We consider one-dimensional Burgers equation driven by large-scale white-in-time random force. The tails of the velocity gradients probability distribution function (PDF) are analyzed by saddle point approximation in the path integral describing the velocity statistics. The structure of the saddle-point (instanton), that is, the velocity field configuration realizing the maximum of probability,...
متن کاملVelocity fluctuations in forced Burgers turbulence.
We propose a simple method to compute the velocity difference statistics in forced Burgers turbulence in any dimension. Within a reasonnable assumption concerning the nucleation and coalescence of shocks, we find in particular that the ‘left’ tail of the distribution decays as an inverse square power, which is compatible with numerical data. Our results are compared to those of various recent a...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 1997
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.55.6907