Abstract
High-resolution numerical experiments, described in this work, show that velocity fluctuations governed by the one-dimensional Burgers equation driven by a white-in-time random noise with the spectrum ‖f(k)¯∝ exhibit a biscaling behavior: All moments of velocity differences (r)=‖u(x+r)-u(x)¯≡‖Δu¯ ∝, while (r)∝ with ≊1 for real n>0 [Chekhlov and Yakhot, Phys. Rev. E 51, R2739 (1995)]. The probability density function, which is dominated by coherent shocks in the interval Δu<0, is scrP(Δu,r)∝(Δu with q≊4. A phenomenological theory describing the experimental findings is presented.
- Received 6 April 1995
DOI:https://doi.org/10.1103/PhysRevE.52.5681
©1995 American Physical Society